module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) | (~a & c & d) | (a & ~b & c) | (a & b & ~d) | (a & b & c & ~d);
endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);

assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & b) | (a & ~b & c & ~d) | (a & b & ~c & d) | (a & b & c & d);

endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);
	assign q = (~a & ~b & ~c & ~d) | (~a & ~b & c & d) | (~a & b & ~c & d) | (~a & b & c & ~d) | (a & b & ~c & ~d) | (a & b & c & d) | (a & ~b & c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & d) | (~a & b & ~c & ~d) | (~a & b & c & d) | (a & ~b & ~c & ~d) | (a & ~b & c & d) | (a & b & ~c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);

assign q = (~a & ~b & ~c & ~d) | (~a & ~b & c & d) | (~a & b & ~c & d) | (a & ~b & c & ~d) | (a & b & ~c & ~d) | (a & b & c & d);

endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);
    assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & d) | (b & ~c & ~d) | (b & c & d) | (a & ~b & d) | (a & b & ~c);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) |
               (~a & ~b & d) |
               (~a & c & d) |
               (b & ~c & ~d) |
               (b & d) |
               (a & b & ~c) |
               (a & b & c & ~d) |
               (a & b & c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) |
               (~a & ~b & d) |
               (~a & c & d) |
               (b & ~c & d) |
               (b & c & ~d) |
               (a & b & c & ~d) |
               (a & b & c & d);
endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);

assign q = (~a & ~b & ~c & ~d) | (~a & ~b & c & d) | (~a & b & ~c & d) | (a & ~b & ~c & d) | (a & b & ~c & ~d) | (a & b & c & d);

endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);

assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & d) | (b & ~d) | (b & c) | (a & b & ~c) | (a & b & d);

endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);
	assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & d) | (a & ~b & c & ~d) | (a & b & ~c) | (a & b & c & d);
endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);
	assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & d) | (b & ~c & d) | (b & c & ~d) | (a & ~b & ~c) | (a & b & ~c & ~d) | (a & b & c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) | (~a & ~b & c & d) | (~a & b & ~c & d) | (~a & b & c & ~d) | (a & ~b & c & d) | (a & b & ~c & ~d) | (a & b & c & d);
endmodule

module top_module (
	input a,
	input b,
	input c,
	input d,
	output q
);

assign q = (~a & ~b & ~c & ~d) | (~a & ~b & d) | (~a & c & b) | (a & ~b & ~c) | (a & ~b & d) | (a & b & ~c);

endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) | (~a & ~b & c & d) | (~a & b & ~c & d) | (~a & b & c & ~d) |
               (a & ~b & ~c & d) | (a & ~b & c & d) | (a & b & ~c & ~d) | (a & b & c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~(a & ~b & ~c & ~d) & ~a & ~b & d) |
               (~(a & ~b & c & ~d) & ~a & b) |
               (~(a & b & ~c & d) & a & ~b) |
               (a & b & ~c & ~d) |
               (a & b & c & d);
endmodule

module top_module (
    input a,
    input b,
    input c,
    input d,
    output q
);
    assign q = (~a & ~b & ~c & ~d) |
               (~a & ~b & d) |
               (~a & c & ~d) |
               (b & ~c & d) |
               (b & c & ~d) |
               (a & ~b & ~c) |
               (a & b & ~d) |
               (a & b & c & d);
endmodule


module top_module(
	input a,
	input b,
	output out
);
	assign out = a & b;
endmodule


module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);
    reg state;

    parameter B = 1'b1, A = 1'b0; // State Encoding: B = 1, A = 0

    always @(posedge clk) begin
        if (reset) begin
            state <= B; // Reset to state B
            out <= 1;   // Output for state B
        end else begin
            case (state)
                B: begin
                    if (in) begin
                        state <= B; // Stay in B
                        out <= 1;   // Output for state B
                    end else begin
                        state <= A; // Transition to A
                        out <= 0;   // Output for state A
                    end
                end
                A: begin
                    if (in) begin
                        state <= A; // Stay in A
                        out <= 0;   // Output for state A
                    end else begin
                        state <= B; // Transition to B
                        out <= 1;   // Output for state B
                    end
                end
            endcase
        end
    end
endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

	typedef enum reg [1:0] {B, A} state_type;
	state_type current_state, next_state;

	always @(posedge clk) begin
		if (reset) begin
			current_state <= B;
		end else begin
			current_state <= next_state;
		end
	end

	always @* begin
		case (current_state)
			B: begin
				out = 1;
				if (in) next_state = B;
				else next_state = A;
			end
			A: begin
				out = 0;
				if (in) next_state = A;
				else next_state = B;
			end
		endcase
	end

endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    typedef enum reg [1:0] {B, A} state_t;
    state_t state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            state <= B;
        end else begin
            state <= next_state;
        end
    end

    always @* begin
        case (state)
            B: begin
                out = 1;
                if (in) begin
                    next_state = B;
                end else begin
                    next_state = A;
                end
            end
            A: begin
                out = 0;
                if (in) begin
                    next_state = A;
                end else begin
                    next_state = B;
                end
            end
            default: begin
                next_state = B; // Default case to handle any unexpected situation
            end
        endcase
    end

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

	typedef enum reg [1:0] {B, A} state_t;
	state_t state, next_state;

	always @ (posedge clk) begin
		if (reset)
			state <= B;
		else
			state <= next_state;
	end

	always @ (*) begin
		case (state)
			B: begin
				out = 1;
				if (in)
					next_state = B;
				else
					next_state = A;
			end
			A: begin
				out = 0;
				if (in)
					next_state = A;
				else
					next_state = B;
			end
			default: begin
				out = 1;
				next_state = B;
			end
		endcase
	end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    reg state, next_state;

    parameter B = 1'b0, A = 1'b1;

    always @(posedge clk) begin
        if (reset) begin
            state <= B;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        case (state)
            B: begin
                out = 1;
                if (in)
                    next_state = B;
                else
                    next_state = A;
            end
            A: begin
                out = 0;
                if (in)
                    next_state = A;
                else
                    next_state = B;
            end
            default: begin
                out = 1'bx; // undefined state
                next_state = state; // retain state
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    typedef enum reg [1:0] {B, A} state_t;
    state_t current_state, next_state;

    always @(posedge clk) begin
        if (reset)
            current_state <= B;
        else
            current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            B: begin
                out = 1;
                if (in)
                    next_state = B;
                else
                    next_state = A;
            end
            A: begin
                out = 0;
                if (in)
                    next_state = A;
                else
                    next_state = B;
            end
        endcase
    end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);
    typedef enum reg [1:0] {B, A} state_type;
    state_type state, next_state;

    always @(posedge clk) begin
        if (reset)
            state <= B;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            B: begin
                out = 1;
                if (in)
                    next_state = B;
                else
                    next_state = A;
            end
            A: begin
                out = 0;
                if (in)
                    next_state = A;
                else
                    next_state = B;
            end
        endcase
    end
endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

	reg state, next_state;

	parameter B = 1'b0, A = 1'b1;

	always @(posedge clk) begin
		if (reset) begin
			state <= B;
		end else begin
			state <= next_state;
		end
	end

	always @(*) begin
		case (state)
			B: begin
				out = 1;
				if (in == 0)
					next_state = A;
				else
					next_state = B;
			end
			A: begin
				out = 0;
				if (in == 0)
					next_state = B;
				else
					next_state = A;
			end
		endcase
	end

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);
	// State declaration
	localparam B = 1'b0, A = 1'b1;
	reg state, next_state;

	// Synchronous state update
	always @(posedge clk) begin
		if (reset) begin
			state <= B;
		end else begin
			state <= next_state;
		end
	end

	// Output logic
	always @(state) begin
		case (state)
			B: out = 1'b1;
			A: out = 1'b0;
			default: out = 1'bx; // Undefined state
		endcase
	end

	// Next state logic
	always @(*) begin
		case (state)
			B: begin
				if (in) next_state = B;
				else next_state = A;
			end
			A: begin
				if (in) next_state = A;
				else next_state = B;
			end
			default: next_state = B; // Default to state B
		endcase
	end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    typedef enum logic [1:0] {B, A} state_t;
    state_t current_state, next_state;

    always_ff @(posedge clk) begin
        if (reset) begin
            current_state <= B;
        end else begin
            current_state <= next_state;
        end
    end

    always_ff @(current_state, in) begin
        case (current_state)
            B: begin
                out = 1;
                if (in)
                    next_state = B;
                else
                    next_state = A;
            end
            A: begin
                out = 0;
                if (in)
                    next_state = A;
                else
                    next_state = B;
            end
            default: begin
                next_state = B;
                out = 0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);
    typedef enum logic [1:0] {B, A} state_t;
    state_t state, next_state;

    always_ff @(posedge clk) begin
        if (reset) begin
            state <= B;
        end else begin
            state <= next_state;
        end
    end

    always_ff @(state, in) begin
        case (state)
            B: begin
                out = 1;
                next_state = (in == 0) ? A : B;
            end
            A: begin
                out = 0;
                next_state = (in == 0) ? B : A;
            end
        endcase
    end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);
    reg state, next_state;

    // State encoding
    localparam B = 1'b0, A = 1'b1;

    // Output and state transition
    always @(posedge clk) begin
        if (reset) begin
            state <= B;
            out <= 1;
        end else begin
            state <= next_state;
            out <= (state == B) ? 1 : 0; // Output logic based on current state
        end
    end

    // Next state logic
    always @(*) begin
        case (state)
            B: begin
                if (in == 0)
                    next_state = A;
                else
                    next_state = B;
            end
            A: begin
                if (in == 0)
                    next_state = B;
                else
                    next_state = A;
            end
            default: next_state = B; // Default case
        endcase
    end
endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

  typedef enum logic [1:0] {
    B, A
  } state_t;

  state_t current_state, next_state;

  always_ff @(posedge clk) begin
    if (reset)
      current_state <= B;
    else
      current_state <= next_state;
  end

  always_comb begin
    case (current_state)
      B: begin
        out = 1;
        if (in == 0)
          next_state = A;
        else
          next_state = B;
      end
      A: begin
        out = 0;
        if (in == 0)
          next_state = B;
        else
          next_state = A;
      end
      default: begin
        out = 1;
        next_state = B;
      end
    endcase
  end
endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output out
);

	reg state, next_state;
	parameter B = 1'b0, A = 1'b1; // State encoding: B=0, A=1

	assign out = (state == B) ? 1'b1 : 1'b0; // Output logic

	// State transition
	always @(*) begin
		case (state)
			B: if (in) next_state = B; else next_state = A;
			A: if (in) next_state = A; else next_state = B;
			default: next_state = B;
		endcase
	end

	// State register with synchronous reset
	always @(posedge clk) begin
		if (reset)
			state <= B;
		else
			state <= next_state;
	end

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

	reg state, next_state;

	parameter B = 1'b0, A = 1'b1;

	always @(posedge clk) begin
		if (reset)
			state <= B;
		else
			state <= next_state;
	end

	always @(*) begin
		case (state)
			B: begin
				out = 1;
				if (in)
					next_state = B;
				else
					next_state = A;
			end
			A: begin
				out = 0;
				if (in)
					next_state = A;
				else
					next_state = B;
			end
		endcase
	end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    typedef enum logic [1:0] {B, A} state_t;
    state_t state, next_state;

    always_ff @(posedge clk or posedge reset) begin
        if (reset)
            state <= B;
        else
            state <= next_state;
    end

    always_ff @(state, in) begin
        case (state)
            B: begin
                out = 1;
                if (in == 0)
                    next_state = A;
                else
                    next_state = B;
            end
            A: begin
                out = 0;
                if (in == 0)
                    next_state = B;
                else
                    next_state = A;
            end
        endcase
    end
endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output reg out
);

	reg state, next_state;

	// State encoding
	localparam B = 1'b0, A = 1'b1;

	always @(posedge clk) begin
		if (reset) begin
			state <= B;
		end else begin
			state <= next_state;
		end
	end

	always @(*) begin
		case (state)
			B: begin
				out = 1;
				if (in)
					next_state = B;
				else
					next_state = A;
			end
			A: begin
				out = 0;
				if (in)
					next_state = A;
				else
					next_state = B;
			end
		endcase
	end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    // State encoding
    typedef enum reg [1:0] {
        B = 1'b0,
        A = 1'b1
    } state_t;

    state_t current_state, next_state;

    // State transition
    always @ (posedge clk) begin
        if (reset) begin
            current_state <= B;
        end else begin
            current_state <= next_state;
        end
    end

    // Next state logic
    always @ (*) begin
        case (current_state)
            B: begin
                if (in == 0) begin
                    next_state = A;
                end else begin
                    next_state = B;
                end
                out = 1;
            end
            A: begin
                if (in == 0) begin
                    next_state = B;
                end else begin
                    next_state = A;
                end
                out = 0;
            end
            default: begin
                next_state = B;
                out = 1;
            end
        endcase
    end
endmodule

module top_module (
    input clk,
    input in,
    input reset,
    output reg out
);

    typedef enum reg [1:0] {B, A} state_t;
    state_t current_state, next_state;

    always @(posedge clk) begin
        if (reset)
            current_state <= B;
        else
            current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            B: begin
                out = 1;
                if (in == 0)
                    next_state = A;
                else
                    next_state = B;
            end
            A: begin
                out = 0;
                if (in == 0)
                    next_state = B;
                else
                    next_state = A;
            end
            default: begin
                next_state = B;
                out = 0;
            end
        endcase
    end
endmodule


module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);
	assign sum = a ^ b ^ cin;
	assign cout = (a & b) | (cin & (a ^ b));
endmodule

module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);
	wire s1, c1, c2;

	assign sum = a ^ b ^ cin; // Sum calculation
	assign c1 = a & b;       // First carry
	assign c2 = (a ^ b) & cin; // Second carry
	assign cout = c1 | c2;   // Final carry out
endmodule

module top_module (
    input a,
    input b,
    input cin,
    output cout,
    output sum
);
    assign sum = a ^ b ^ cin; // Sum is the XOR of a, b, and cin
    assign cout = (a & b) | (cin & (a ^ b)); // Carry-out is true if any two of the inputs are true
endmodule

module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);

assign sum = a ^ b ^ cin; // Sum is the XOR of a, b, and cin
assign cout = (a & b) | (cin & (a ^ b)); // Carry-out is generated by the conditions

endmodule

module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);

    assign sum = a ^ b ^ cin;
    assign cout = (a & b) | (b & cin) | (a & cin);

endmodule


module top_module (
    input in1,
    input in2,
    input in3,
    output logic out
);
    logic xnor_output;

    assign xnor_output = ~(in1 ^ in2);
    assign out = xnor_output ^ in3;

endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    xnor(xnor_out, in1, in2);
    xor(out, xnor_out, in3);
endmodule

module top_module (
    input in1,
    input in2,
    input in3,
    output logic out
);
    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2);
    assign out = xnor_out ^ in3;

endmodule

module top_module (
    input in1,
    input in2,
    input in3,
    output logic out
);
    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2); // XNOR operation
    assign out = xnor_out ^ in3;    // XOR with in3
endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2);  // Two-input XNOR
    assign out = xnor_out ^ in3;     // Two-input XOR
endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    // Two-input XNOR
    assign xnor_out = ~(in1 ^ in2);

    // Two-input XOR
    assign out = xnor_out ^ in3;

endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2); // XNOR of in1 and in2
    assign out = xnor_out ^ in3;    // XOR of xnor_out and in3
endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    assign xnor_out = in1 ~^ in2; // XNOR of in1 and in2
    assign out = xnor_out ^ in3;   // XOR of xnor_out and in3
endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);

    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2); // XNOR of in1 and in2
    assign out = xnor_out ^ in3;    // XOR with in3

endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
	wire xnor_out;

	assign xnor_out = ~(in1 ^ in2); // XNOR operation
	assign out = xnor_out ^ in3;    // XOR operation
endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);

logic xnor_out;

assign xnor_out = !(in1 ^ in2); // XNOR implementation
assign out = xnor_out ^ in3;    // XOR with in3

endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);
    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2); // XNOR operation
    assign out = xnor_out ^ in3;    // XOR operation
endmodule


module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 1'b0; // ab = 00
    assign mux_in[1] = 1'b1; // ab = 01
    assign mux_in[2] = (c & d); // ab = 11
    assign mux_in[3] = (c & ~d); // ab = 10
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0;   // ab = 00
    assign mux_in[1] = 1;   // ab = 01
    assign mux_in[2] = (c & d); // ab = 10 (c & d = 1 if cd = 11)
    assign mux_in[3] = 1;   // ab = 11

endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0;     // ab = 00
    assign mux_in[1] = 1;     // ab = 01
    assign mux_in[2] = (c & d); // ab = 11
    assign mux_in[3] = (c & ~d); // ab = 10
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 1'b0; // ab = 00
    assign mux_in[1] = c;    // ab = 01
    assign mux_in[2] = (c & d); // ab = 11
    assign mux_in[3] = 1'b1;  // ab = 10
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0;      // ab = 00
    assign mux_in[1] = 1;      // ab = 01
    assign mux_in[2] = (c & d); // ab = 11
    assign mux_in[3] = c;      // ab = 10
endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);
	assign mux_in[0] = 0;  // ab = 00
	assign mux_in[1] = 1;  // ab = 01
	assign mux_in[2] = c & d; // ab = 11
	assign mux_in[3] = c;    // ab = 10
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0;        // ab = 00
    assign mux_in[1] = 1;        // ab = 01
    assign mux_in[2] = c & d;    // ab = 10
    assign mux_in[3] = c | d;    // ab = 11
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0; // ab = 00
    assign mux_in[1] = c; // ab = 01
    assign mux_in[2] = (c & d); // ab = 10 -> c & d
    assign mux_in[3] = (c | d); // ab = 11 -> c | d
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 1'b0;  // ab = 00
    assign mux_in[1] = 1'b1;  // ab = 01
    assign mux_in[2] = (c & d); // ab = 11 (c & d) corresponds to 1 (c=1, d=1)
    assign mux_in[3] = (c & ~d); // ab = 10 (c & ~d) corresponds to 1 (c=1, d=0)
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 0; // ab = 00
    assign mux_in[1] = c; // ab = 01
    assign mux_in[2] = c & d; // ab = 11
    assign mux_in[3] = c; // ab = 10
endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);
    assign mux_in[0] = 0; // ab = 00
    assign mux_in[1] = 1; // ab = 01
    assign mux_in[2] = (c & d); // ab = 10, corresponds to K-map (1, 0, 0, 1)
    assign mux_in[3] = (c | d); // ab = 11, corresponds to K-map (1, 0, 1, 1)
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);

    assign mux_in[0] = 0; // ab = 00
    assign mux_in[1] = c; // ab = 01
    assign mux_in[2] = c & d; // ab = 11
    assign mux_in[3] = d; // ab = 10

endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 1'b0; // ab = 00
    assign mux_in[1] = c;    // ab = 01
    assign mux_in[2] = (c & d); // ab = 11
    assign mux_in[3] = d;    // ab = 10
endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);
	assign mux_in[0] = 1'b0; // ab = 00
	assign mux_in[1] = 1'b1; // ab = 01
	assign mux_in[2] = d;     // ab = 11
	assign mux_in[3] = c;     // ab = 10
endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);
    assign mux_in[0] = 1'b0; // ab = 00
    assign mux_in[1] = d;    // ab = 01
    assign mux_in[2] = c;    // ab = 10
    assign mux_in[3] = c | d; // ab = 11
endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

	assign mux_in[0] = 0;          // ab = 00
	assign mux_in[1] = 1;          // ab = 01
	assign mux_in[2] = c & d;      // ab = 11 -> c & d = 1
	assign mux_in[3] = c;          // ab = 10

endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);

    assign mux_in[0] = 0; // ab = 00
    assign mux_in[1] = 1; // ab = 01
    assign mux_in[2] = (c & d); // ab = 11 -> c & d
    assign mux_in[3] = (c & ~d); // ab = 10 -> c & ~d

endmodule


module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    // State encoding
    reg [1:0] state; // One-hot encoding for 2 states
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A; // Reset to state A
            z <= 1'b0;  // Z is 0 in state A
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B;
                        z <= 1'b1; // Output z=1 when transitioning from A to B on x=1
                    end else begin
                        state <= A;
                        z <= 1'b0; // Stay in A with z=0
                    end
                end
                B: begin
                    state <= B; // Stay in B regardless of x
                    z <= x ? 1'b0 : 1'b1; // z=0 if x=1, z=1 if x=0
                end
            endcase
        end
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    reg [1:0] state, next_state; // One-hot encoding for two states

    // State encoding
    localparam A = 2'b01, B = 2'b10;

    // Asynchronous reset
    always @ (posedge clk or posedge areset) begin
        if (areset)
            state <= A; // Reset to state A
        else
            state <= next_state; // Transition to next state
    end

    // Combinational logic for state transition and output
    always @ (*) begin
        case (state)
            A: begin
                if (x) begin
                    next_state = B;
                    z = 1;
                end else begin
                    next_state = A;
                    z = 0;
                end
            end
            B: begin
                next_state = B; // Stay in state B
                z = (x) ? 0 : 1; // Output z based on x
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    // State Encoding
    localparam A = 2'b01;
    localparam B = 2'b10;

    reg [1:0] state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        case (state)
            A: begin
                z = (x == 1'b1) ? 1'b1 : 1'b0;
                next_state = (x == 1'b1) ? B : A;
            end
            B: begin
                z = (x == 1'b0) ? 1'b1 : 1'b0;
                next_state = B;
            end
            default: begin
                z = 1'b0;
                next_state = A;
            end
        endcase
    end
endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    // State declaration using one-hot encoding
    reg [1:0] state, next_state;

    parameter A = 2'b01, B = 2'b10;

    // Asynchronous reset and state transition
    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A; // Reset state to A
        else
            state <= next_state; // Transition to next state
    end

    // Next state logic
    always @(*) begin
        case (state)
            A: begin
                if (x) begin
                    next_state = B;
                    z = 1;
                end else begin
                    next_state = A;
                    z = 0;
                end
            end
            B: begin
                next_state = B; // Stay in B
                z = (x) ? 0 : 1; // Output logic
            end
            default: begin
                next_state = A; // Default state handling
                z = 0;         // Default output
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    typedef enum logic [1:0] {
        A = 2'b01,
        B = 2'b10
    } state_t;

    state_t current_state, next_state;

    always_ff @(posedge clk or posedge areset) begin
        if (areset) begin
            current_state <= A;
            z <= 0;
        end else begin
            current_state <= next_state;
        end
    end

    always_ff @(current_state or x) begin
        case (current_state)
            A: begin
                if (x == 0) begin
                    next_state = A;
                    z = 0;
                end else begin
                    next_state = B;
                    z = 1;
                end
            end
            B: begin
                next_state = B;
                z = (x == 0) ? 1 : 0;
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output reg z
);

	// State encoding using one-hot encoding
	parameter A = 2'b01, B = 2'b10;
	reg [1:0] state, next_state;

	// Asynchronous reset
	always @(posedge clk or posedge areset) begin
		if (areset) begin
			state <= A;
		end else begin
			state <= next_state;
		end
	end

	// Next-state logic
	always @(*) begin
		case (state)
			A: begin
				if (x == 0) begin
					next_state = A;
					z = 0;
				end else begin
					next_state = B;
					z = 1;
				end
			end
			B: begin
				next_state = B;
				z = (x == 0) ? 1 : 0;
			end
			default: begin
				next_state = A;
				z = 0;
			end
		endcase
	end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    reg [1:0] state; // One-hot encoding for 2 states: A and B

    localparam A = 2'b01; // State A
    localparam B = 2'b10; // State B

    // State transition and output logic
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A; // Reset to state A
            z <= 0;     // Output z = 0
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B;  // Transition to B
                        z <= 1;      // Output z = 1
                    end else begin
                        state <= A;  // Stay in A
                        z <= 0;      // Output z = 0
                    end
                end

                B: begin
                    state <= B;  // Stay in B
                    z <= x ? 0 : 1;  // Output z = 0 if x = 1, else z = 1
                end
            endcase
        end
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    typedef enum logic [1:0] {A, B} state_t;
    state_t state, next_state;

    always_ff @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A;
        end else begin
            state <= next_state;
        end
    end

    always_ff @(state, x) begin
        case (state)
            A: begin
                z = (x) ? 1 : 0; // A --x=1 (z=1)--> B
                next_state = (x) ? B : A;
            end
            B: begin
                z = (x) ? 0 : 1; // B --x=0 (z=1)--> B
                next_state = B;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    typedef enum reg [1:0] {A = 2'b01, B = 2'b10} state_t;
    state_t current_state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset)
            current_state <= A;
        else
            current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            A: begin
                if (x == 1) begin
                    next_state = B;
                    z = 1;
                end else begin
                    next_state = A;
                    z = 0;
                end
            end
            B: begin
                next_state = B;
                z = (x == 0) ? 1 : 0;
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output z
);
    // State encoding
    parameter A = 2'b01;
    parameter B = 2'b10;

    reg [1:0] state, next_state;
    reg z_reg;

    // Asynchronous reset
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A;
            z_reg <= 0;
        end else begin
            state <= next_state;
        end
    end

    // Next state and output logic
    always @(*) begin
        case(state)
            A: begin
                if (x) begin
                    next_state = B;
                    z_reg = 1;
                end else begin
                    next_state = A;
                    z_reg = 0;
                end
            end
            B: begin
                next_state = B;
                z_reg = x ? 0 : 1;
            end
            default: begin
                next_state = A;
                z_reg = 0;
            end
        endcase
    end

    assign z = z_reg;

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);
    reg [1:0] state; // One-hot encoding: A = 2'b01, B = 2'b10
    localparam A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A;
            z <= 0;
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B;
                        z <= 1;
                    end else begin
                        state <= A;
                        z <= 0;
                    end
                end
                B: begin
                    if (x) begin
                        state <= B;
                        z <= 0;
                    end else begin
                        state <= B;
                        z <= 1;
                    end
                end
            endcase
        end
    end
endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    // State encoding
    reg [1:0] state; // 2 states in one-hot encoding
    parameter A = 2'b01, B = 2'b10;

    // State transition and output logic
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A;
            z <= 0;
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B;
                        z <= 1;
                    end else begin
                        state <= A;
                        z <= 0;
                    end
                end
                B: begin
                    state <= B; // Stay in B
                    z <= x ? 0 : 1;
                end
            endcase
        end
    end
endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output reg z
);

	typedef enum logic [1:0] {A, B} state_t;
	state_t state, next_state;

	always_ff @(posedge clk or posedge areset) begin
		if (areset)
			state <= A;
		else
			state <= next_state;
	end

	always_comb begin
		next_state = state;
		z = 0;
		case (state)
			A: begin
				if (x) begin
					next_state = B;
					z = 1;
				end
			end
			B: begin
				z = (x) ? 0 : 1;
			end
		endcase
	end
endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output reg z
);

    // State encoding
    parameter A = 2'b01, B = 2'b10;
    reg [1:0] state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: begin
                if (x == 0) begin
                    next_state = A;
                    z = 0;
                end else begin
                    next_state = B;
                    z = 1;
                end
            end
            B: begin
                next_state = B;
                z = (x == 0) ? 1 : 0;
            end
        endcase
    end
endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output reg z
);

    // State encoding
    parameter A = 2'b01; // One-hot encoding for state A
    parameter B = 2'b10; // One-hot encoding for state B

    reg [1:0] state, next_state;

    // Asynchronous reset
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A; // Reset to state A
        end else begin
            state <= next_state; // Update state
        end
    end

    // Next state logic
    always @(*) begin
        case(state)
            A: begin
                if (x == 0) begin
                    next_state = A; // Stay in state A
                    z = 0;
                end else begin
                    next_state = B; // Transition to state B
                    z = 1;
                end
            end
            B: begin
                next_state = B; // Stay in state B
                z = (x == 0) ? 1 : 0; // Output logic based on x
            end
            default: begin
                next_state = A; // Default case (should not happen)
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    typedef enum reg [1:0] {
        A = 2'b01,
        B = 2'b10
    } state_t;

    state_t current_state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset) begin
            current_state <= A;
            z <= 0;
        end else begin
            current_state <= next_state;
        end
    end

    always @(*) begin
        case (current_state)
            A: begin
                if (x) begin
                    next_state = B;
                    z = 1;
                end else begin
                    next_state = A;
                    z = 0;
                end
            end
            B: begin
                if (x) begin
                    next_state = B;
                    z = 0;
                end else begin
                    next_state = B;
                    z = 1;
                end
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);
    // State encoding
    parameter A = 2'b01, B = 2'b10;
    reg [1:0] state, next_state;

    // Asynchronous reset
    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            state <= next_state;
    end

    // Next state logic
    always @(*) begin
        case (state)
            A: begin
                if (x) begin
                    next_state = B;
                    z = 1;
                end else begin
                    next_state = A;
                    z = 0;
                end
            end
            B: begin
                next_state = B; // Remain in B
                z = (x) ? 0 : 1; // z is 1 when x is 0, else 0
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end
endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    typedef enum reg [1:0] {A = 2'b01, B = 2'b10} state_t;
    state_t current_state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset)
            current_state <= A;
        else
            current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            A: begin
                if (x == 0) begin
                    next_state = A;
                    z = 0;
                end else begin
                    next_state = B;
                    z = 1;
                end
            end
            B: begin
                next_state = B;
                z = (x == 0) ? 1 : 0;
            end
            default: begin
                next_state = A;
                z = 0;
            end
        endcase
    end

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output reg z
);

    reg [1:0] state; // One-hot encoding: 2 states (A=00, B=01)

    // State encoding
    localparam A = 2'b01; // State A
    localparam B = 2'b10; // State B

    // Asynchronous reset and state transition
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A; // Reset to state A
            z <= 0; // Output reset
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B; // Transition to state B
                        z <= 1; // Output z=1
                    end else begin
                        state <= A; // Stay in state A
                        z <= 0; // Output z=0
                    end
                end
                B: begin
                    if (x) begin
                        state <= B; // Stay in state B
                        z <= 0; // Output z=0
                    end else begin
                        state <= B; // Stay in state B
                        z <= 1; // Output z=1
                    end
                end
            endcase
        end
    end
endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output reg z
);

    // State definition
    reg [1:0] state; // 2 states for one-hot encoding
    localparam A = 2'b01, B = 2'b10; // One-hot encoding for states

    // State transition and output logic
    always @(posedge clk or posedge areset) begin
        if (areset) begin
            state <= A; // Reset to state A
            z <= 0;     // Output z is 0 in state A
        end else begin
            case (state)
                A: begin
                    if (x) begin
                        state <= B; // Transition to state B
                        z <= 1;     // Output z is 1
                    end else begin
                        state <= A; // Stay in state A
                        z <= 0;     // Output z is 0
                    end
                end
                B: begin
                    state <= B; // Stay in state B
                    z <= x ? 0 : 1; // Output z according to x
                end
            endcase
        end
    end

endmodule


module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        state <= (state == 1 && b == 1) ? 0 : (state == 0 && a == 1) ? 1 : state;
        q <= (state == 1 && b == 1) ? 1 : (state == 0 && a == 1) ? 0 : q;
    end

    initial begin
        state = 0;
        q = 0;
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a && !b) begin
            q <= 1;
            state <= 0;
        end else if (!a && b) begin
            q <= 0;
            state <= 1;
        end else if (a && b) begin
            q <= 0;
            state <= 0;
        end else begin
            q <= q; // retain previous value
            state <= state; // retain previous value
        end
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

reg flip_flop;

always @(posedge clk) begin
    if (a && !b) begin
        flip_flop <= 1;
        q <= 1;
        state <= 1;
    end else if (!a && b) begin
        flip_flop <= 0;
        q <= 0;
        state <= 1;
    end else if (a && b) begin
        if (flip_flop) begin
            q <= 0;
            state <= 0;
        end else begin
            q <= 1;
            state <= 0;
        end
    end else begin
        q <= flip_flop;
        state <= flip_flop;
    end
end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);
    reg ff;

    always @(posedge clk) begin
        ff <= (a & b) ? 1 : (ff & ~b);
        q <= ff;
        state <= ff;
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);
    always @(posedge clk) begin
        // State transition logic
        if (a && b) begin
            q <= 0;
            state <= 1;
        end else if (!a && !b) begin
            q <= 0;
            state <= 0;
        end else if (a && !b) begin
            q <= 1;
            state <= 0;
        end else if (!a && b) begin
            q <= 1;
            state <= 1;
        end
    end
endmodule

module top_module (
	input clk,
	input a,
	input b,
	output reg q,
	output reg state
);

	reg ff;

	always @(posedge clk) begin
		if (a && !b) begin
			ff <= 1;
		end else if (!a && b) begin
			ff <= 0;
		end
		q <= ff;
		state <= (a && b) ? 1 : 0;
	end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a && !b) begin
            q <= 1;
            state <= 0;
        end else if (!a && b) begin
            q <= 0;
            state <= 1;
        end else if (a && b) begin
            q <= 1;
            state <= 1;
        end else begin
            q <= 0;
            state <= 0;
        end
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a && !b) begin
            q <= 1;
            state <= 0;
        end else if (a && b) begin
            q <= 0;
            state <= 1;
        end else if (!a && !b) begin
            q <= q;
            state <= state;
        end else if (!a && b) begin
            q <= 0;
            state <= 1;
        end
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a && !b) begin
            q <= 1'b1;
            state <= 1'b0;
        end else if (!a && !b) begin
            q <= 1'b0;
            state <= 1'b0;
        end else if (a && b) begin
            q <= 1'b0;
            state <= 1'b1;
        end else if (!a && b) begin
            q <= 1'b1;
            state <= 1'b1;
        end
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output q,
    output state
);
    reg q_reg;
    reg state_reg;

    assign q = q_reg;
    assign state = state_reg;

    always @(posedge clk) begin
        if (a && !b) begin
            q_reg <= 1;
        end else if (!a && b) begin
            q_reg <= 0;
        end

        // Logic for state based on `q_reg`
        if (q_reg) begin
            state_reg <= 1;
        end else begin
            state_reg <= 0;
        end
    end
endmodule

module top_module (
	input clk,
	input a,
	input b,
	output reg q,
	output reg state
);

reg flip_flop;

always @(posedge clk) begin
	if (a && ~b) begin
		flip_flop <= 1;
	end else if (~a && b) begin
		flip_flop <= 0;
	end
end

always @(posedge clk) begin
	q <= flip_flop;
	state <= {flip_flop, a, b};
end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        state <= a ? (b ? 1 : state) : state;
        q <= state;
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a & ~b)
            q <= 1;
        else if (~a & b)
            q <= 0;

        if (q)
            state <= a & b;
        else
            state <= ~b;
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    reg state_next;

    always @(posedge clk) begin
        q <= state_next;
        state <= state_next;
    end

    always @(*) begin
        case (state)
            0: begin
                if (b) state_next = 1;
                else state_next = 0;
            end
            1: begin
                if (a) state_next = 0;
                else state_next = 1;
            end
            default: state_next = 0;
        endcase
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);
    reg [1:0] next_state;

    always @(posedge clk) begin
        if (a) begin
            if (b) begin
                next_state <= 0; // Reset state
            end else begin
                next_state <= next_state + 1; // Increment state
            end
        end else begin
            case (next_state)
                0: begin
                    if (b) begin
                        state <= 1;
                        q <= 1;
                    end
                end
                1: begin
                    if (a && b) begin
                        state <= 0;
                        q <= 0;
                    end else if (~a && b) begin
                        state <= 1;
                        q <= 1;
                    end
                end
                2: begin
                    if (a) begin
                        state <= 0;
                        q <= 1;
                    end
                end
            endcase
        end
    end

    always @(posedge clk) begin
        if (state) begin
            q <= 1;
        end else begin
            q <= 0;
        end
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    always @(posedge clk) begin
        if (a && !b) begin
            q <= 1;
            state <= 0;
        end else if (!a && b) begin
            q <= 0;
            state <= 1;
        end else if (a && b) begin
            q <= 1;
            state <= 1;
        end else begin
            q <= 0;
            state <= state;
        end
    end

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output reg q,
	output reg state
);

	always @(posedge clk) begin
		if (a && !b) begin
			state <= 1;
			q <= 1;
		end else if (!a && b) begin
			state <= 0;
			q <= 0;
		end else if (a && b) begin
			state <= 1;
			q <= 0;
		end else begin
			state <= 0;
			q <= q; // hold the previous state
		end
	end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);
    always @(posedge clk) begin
        if (a && b) begin
            q <= 1;
            state <= 1;
        end else if (~a && ~b) begin
            q <= 0;
            state <= 0;
        end else if (a && ~b) begin
            q <= 0;
            state <= 0;
        end else if (~a && b) begin
            q <= 1;
            state <= 1;
        end
    end
endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);

    reg [1:0] current_state, next_state;

    always @(posedge clk) begin
        current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            2'b00: begin
                state = 0;
                q = 0;
                if (a & b) next_state = 2'b01;
                else next_state = 2'b00;
            end
            2'b01: begin
                state = 0;
                q = 1;
                if (a & ~b) next_state = 2'b10;
                else next_state = 2'b01;
            end
            2'b10: begin
                state = 1;
                q = 0;
                if (~a & b) next_state = 2'b11;
                else next_state = 2'b10;
            end
            2'b11: begin
                state = 1;
                q = 1;
                if (~a & ~b) next_state = 2'b00;
                else next_state = 2'b11;
            end
            default: begin
                state = 0;
                q = 0;
                next_state = 2'b00;
            end
        endcase
    end

    initial begin
        current_state = 2'b00;
    end

endmodule

module top_module (
    input clk,
    input a,
    input b,
    output reg q,
    output reg state
);
    always @(posedge clk) begin
        case (state)
            1'b0: begin
                if (a && !b) begin
                    q <= 1'b0;
                    state <= 1'b1;
                end else if (!a && b) begin
                    q <= 1'b0;
                    state <= 1'b0;
                end
            end
            1'b1: begin
                if (a && b) begin
                    q <= 1'b1;
                    state <= 1'b0;
                end else if (!a && !b) begin
                    q <= 1'b0;
                    state <= 1'b1;
                end
            end
        endcase
    end

    initial begin
        q = 1'b0;
        state = 1'b0;
    end
endmodule


module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    reg [3:0] state, next_state;

    // Define states
    parameter S0 = 4'b0000; // Initial state, expect 0
    parameter S1 = 4'b0001; // 0 followed by 1
    parameter S2 = 4'b0010; // 01
    parameter S3 = 4'b0011; // 011
    parameter S4 = 4'b0100; // 0111
    parameter S5 = 4'b0101; // 01111
    parameter S6 = 4'b0110; // 011111
    parameter S7 = 4'b0111; // 0111111 (error state)
    parameter S8 = 4'b1000; // 01111110 (flag state)

    // State transition logic
    always @(*) begin
        next_state = state; // Default to current state
        disc = 0;
        flag = 0;
        err = 0;

        case (state)
            S0: if (in) next_state = S1; // Start of 1 sequence
            S1: if (in) next_state = S2; else next_state = S0; // 1 followed by 0
            S2: if (in) next_state = S3; else next_state = S0; // 01 followed by 0
            S3: if (in) next_state = S4; else next_state = S0; // 011 followed by 0
            S4: if (in) next_state = S5; else next_state = S0; // 0111 followed by 0
            S5: if (in) next_state = S6; else next_state = S0; // 01111 followed by 0
            S6: if (in) next_state = S8; else begin next_state = S0; disc = 1; end // 011111 followed by 1 (disc)
            S7: begin next_state = S7; err = 1; end // Stay in error state
            S8: begin next_state = S0; flag = 1; end // 01111110, back to start
            default: next_state = S0;
        endcase
    end

    // State register
    always @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    // Output control to ensure they assert for a complete cycle
    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            if (disc) disc <= 1;
            else disc <= 0;

            if (flag) flag <= 1;
            else flag <= 0;

            if (err) err <= 1;
            else err <= 0;
        end
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum logic [2:0] {
        IDLE,
        ONE,
        TWO,
        THREE,
        FOUR,
        FIVE,
        SIX,
        ERROR
    } state_t;

    state_t state, next_state;

    always_ff @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= IDLE;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
        end
    end

    always_comb begin
        next_state = state;
        disc = 0;
        flag = 0;
        err = 0;

        case (state)
            IDLE: begin
                if (in) next_state = ONE;
            end
            ONE: begin
                if (in) next_state = TWO;
                else next_state = IDLE;
            end
            TWO: begin
                if (in) next_state = THREE;
                else next_state = IDLE;
            end
            THREE: begin
                if (in) next_state = FOUR;
                else next_state = IDLE;
            end
            FOUR: begin
                if (in) next_state = FIVE;
                else next_state = IDLE;
            end
            FIVE: begin
                if (in) next_state = SIX;
                else next_state = IDLE;
            end
            SIX: begin
                if (in) next_state = ERROR; // 7 or more 1s
                else begin
                    disc = 1;
                    next_state = IDLE;
                end
            end
            ERROR: begin
                err = 1;
                next_state = IDLE;
            end
        endcase

        if (state == FIVE && in) begin
            flag = 1; // 01111110 detected
            next_state = IDLE;
        end
    end
endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err);

	// State encoding
	typedef enum reg [2:0] {
		STATE_0, // 0
		STATE_1, // 1
		STATE_2, // 2
		STATE_3, // 3
		STATE_4, // 4
		STATE_5, // 5
		STATE_6, // 6
		STATE_ERR // Error State
	} state_t;

	state_t current_state, next_state;

	// Sequential logic for state transition
	always @(posedge clk) begin
		if (reset) begin
			current_state <= STATE_0;
		end else begin
			current_state <= next_state;
		end
	end

	// Combinational logic for state transition and output
	always @* begin
		next_state = current_state;
		disc = 0;
		flag = 0;
		err = 0;

		case (current_state)
			STATE_0: begin
				if (in) next_state = STATE_1;
			end
			STATE_1: begin
				if (in) next_state = STATE_2;
				else next_state = STATE_0;
			end
			STATE_2: begin
				if (in) next_state = STATE_3;
				else next_state = STATE_0;
			end
			STATE_3: begin
				if (in) next_state = STATE_4;
				else next_state = STATE_0;
			end
			STATE_4: begin
				if (in) next_state = STATE_5;
				else next_state = STATE_0;
			end
			STATE_5: begin
				if (in) next_state = STATE_6;
				else begin
					disc = 1; // Disc after 5 consecutive 1s
					next_state = STATE_0;
				end
			end
			STATE_6: begin
				if (in) next_state = STATE_ERR;
				else begin
					flag = 1; // Flag after 6 consecutive 1s
					next_state = STATE_0;
				end
			end
			STATE_ERR: begin
				err = 1; // Error for 7 or more consecutive 1s
				if (!in) next_state = STATE_0;
			end
		endcase
	end
endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum logic [2:0] {
        S0, // Initial state
        S1, // 0
        S2, // 01
        S3, // 011
        S4, // 0111
        S5, // 01111
        S6, // 011111
        S7, // 0111110 (disc)
        S8  // 01111110 (flag)
    } state_t;

    state_t state, next_state;

    always_ff @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
    end

    always_comb begin
        case (state)
            S0: begin
                if (in == 1) next_state = S1;
                else next_state = S0;
            end
            S1: begin
                if (in == 1) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in == 1) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in == 1) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in == 1) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in == 1) next_state = S6;
                else next_state = S0;
            end
            S6: begin
                if (in == 0) next_state = S7;
                else if (in == 1) next_state = S8; // Flag
                else next_state = S0;
            end
            S7: begin
                disc <= 1;
                if (in == 1) next_state = S1; // Back to look for new frame or data
                else next_state = S0;
            end
            S8: begin
                flag <= 1;
                if (in == 1) next_state = S6; // Look for new frame or additional data
                else next_state = S0;
            end
            default: next_state = S0;
        endcase

        // Error state condition
        if (state == S6 && in == 1)
            err <= 1; // 7 or more 1's detected
    end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

typedef enum reg [2:0] {
    S0, // Initial state
    S1, // Received 0
    S2, // Received 1
    S3, // Received 1 (2 consecutive)
    S4, // Received 1 (3 consecutive)
    S5, // Received 1 (4 consecutive)
    S6, // Received 1 (5 consecutive)
    S7, // Received 1 (6 consecutive)
    S8  // Received 1 (7 consecutive)
} state_t;

state_t state, next_state;

always @(posedge clk) begin
    if (reset) begin
        state <= S0;
    end else begin
        state <= next_state;
    end
end

always @(*) begin
    next_state = state;
    disc = 0;
    flag = 0;
    err = 0;

    case (state)
        S0: begin
            if (in) next_state = S1; // 1
        end
        S1: begin
            if (in) next_state = S2; // 1
            else next_state = S0;     // 0
        end
        S2: begin
            if (in) next_state = S3; // 1
            else next_state = S0;     // 0
        end
        S3: begin
            if (in) next_state = S4; // 1
            else next_state = S0;     // 0
        end
        S4: begin
            if (in) next_state = S5; // 1
            else next_state = S0;     // 0
        end
        S5: begin
            if (in) next_state = S6; // 1
            else next_state = S0;     // 0
        end
        S6: begin
            if (in) next_state = S7; // 1
            else next_state = S0;     // 0
        end
        S7: begin
            if (in) next_state = S8; // 1 (7 consecutive)
            else next_state = S0;     // 0
            disc = 1;                 // Need to discard the 0 after 5 ones
        end
        S8: begin
            err = 1;                  // Error state
            if (!in) next_state = S0; // After 0, reset to S0
        end
        default: next_state = S0;   // Safe default
    endcase

    // Check for the flag condition
    if (state == S6 && in) begin
        flag = 1; // 01111110 detected
    end
end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0, // Initial state
        S1, // 0
        S2, // 01
        S3, // 011
        S4, // 0111
        S5, // 01111
        S6, // 011111
        S7, // 0111111 (error state)
        S8  // 0111110 (discard state)
    } state_t;

    state_t state, next_state;

    always @(posedge clk or posedge reset) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always @(*) begin
        disc = 0;
        flag = 0;
        err = 0;
        case (state)
            S0: next_state = (in) ? S1 : S0;
            S1: next_state = (in) ? S2 : S0;
            S2: next_state = (in) ? S3 : S0;
            S3: next_state = (in) ? S4 : S0;
            S4: next_state = (in) ? S5 : S0;
            S5: next_state = (in) ? S6 : S0;
            S6: begin
                if (in) begin
                    next_state = S7; // Transition to error state
                    err = 1;
                end else begin
                    next_state = S8; // Transition to discard state
                    disc = 1;
                end
            end
            S7: begin
                next_state = (in) ? S7 : S0; // Remain in error state
                err = 1; // Stay in error
            end
            S8: begin
                next_state = (in) ? S1 : S0; // Reset to start looking for flags
                flag = 1; // Emit flag
            end
            default: next_state = S0;
        endcase
    end
endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

typedef enum reg [2:0] {
    S0, // Initial state
    S1, // 0
    S2, // 01
    S3, // 011
    S4, // 0111
    S5, // 01111
    S6, // 011111
    S7, // 0111111 (error state)
    S8  // 01111110 (flag state)
} state_t;

state_t state, next_state;

always @(posedge clk or posedge reset) begin
    if (reset) begin
        state <= S0;
    end else begin
        state <= next_state;
    end
end

always @(*) begin
    disc = 0;
    flag = 0;
    err = 0;

    case (state)
        S0: begin
            if (in) next_state = S1; else next_state = S0;
        end
        S1: begin
            if (in) next_state = S2; else next_state = S0;
        end
        S2: begin
            if (in) next_state = S3; else next_state = S0;
        end
        S3: begin
            if (in) next_state = S4; else next_state = S0;
        end
        S4: begin
            if (in) next_state = S5; else next_state = S0;
        end
        S5: begin
            if (in) next_state = S6; else next_state = S0;
        end
        S6: begin
            if (in) next_state = S7; else next_state = S0; // Error state
        end
        S7: begin
            err = 1; // Signal error
            next_state = S7; // Stay in the error state
        end
        S6: begin
            if (!in) begin
                disc = 1; // Signal to discard
                next_state = S0; // Go back to initial state
            end else begin
                next_state = S8; // Flag state
            end
        end
        S8: begin
            flag = 1; // Signal the flag
            next_state = S0; // Go back to initial state
        end
        default: next_state = S0;
    endcase
end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output disc,
    output flag,
    output err
);

    reg [3:0] state, next_state;
    reg disc_reg, flag_reg, err_reg;

    parameter S0 = 4'b0000;  // Initial state
    parameter S1 = 4'b0001;  // 0
    parameter S2 = 4'b0010;  // 01
    parameter S3 = 4'b0011;  // 011
    parameter S4 = 4'b0100;  // 0111
    parameter S5 = 4'b0101;  // 01111
    parameter S6 = 4'b0110;  // 011111
    parameter S7 = 4'b0111;  // 0111111
    parameter S8 = 4'b1000;  // 01111110
    parameter S9 = 4'b1001;  // Error state (7 or more 1s)

    always @ (posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always @ (*) begin
        case (state)
            S0: next_state = (in == 1'b0) ? S1 : S2;    // 0 or 1
            S1: next_state = (in == 1'b0) ? S1 : S2;    // 0 or 1
            S2: next_state = (in == 1'b0) ? S1 : S3;    // 01
            S3: next_state = (in == 1'b0) ? S1 : S4;    // 011
            S4: next_state = (in == 1'b0) ? S1 : S5;    // 0111
            S5: next_state = (in == 1'b0) ? S1 : S6;    // 01111
            S6: next_state = (in == 1'b0) ? S1 : S7;    // 011111
            S7: next_state = (in == 1'b0) ? S8 : S9;    // 0111111
            S8: next_state = (in == 1'b0) ? S1 : S2;    // 01111110
            S9: next_state = (in == 1'b0) ? S1 : S9;    // Error state remains in error
            default: next_state = S0;
        endcase
    end

    always @ (*) begin
        disc_reg = 0;
        flag_reg = 0;
        err_reg = 0;

        case (state)
            S6: disc_reg = 1;  // Condition (1)
            S8: flag_reg = 1;  // Condition (2)
            S7: err_reg = 1;   // Condition (3)
            default: ;
        endcase
    end

    assign disc = disc_reg;
    assign flag = flag_reg;
    assign err = err_reg;

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0, // Initial state
        S1, // 0 followed by 1
        S2, // 01 followed by 1
        S3, // 011 followed by 1
        S4, // 0111 followed by 1
        S5, // 01111 followed by 1
        S6, // 011111 followed by 0
        S7, // 011111 followed by 1 (error state)
        ERR // Error state for 7 or more 1s
    } state_t;

    state_t state, next_state;

    always_ff @(posedge clk or posedge reset) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always_ff @(state or in) begin
        disc = 0;
        flag = 0;
        err = 0;
        case (state)
            S0: begin
                if (in) next_state = S1;
                else next_state = S0;
            end
            S1: begin
                if (in) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in) next_state = S6;
                else next_state = S0;
            end
            S6: begin
                if (in) begin
                    next_state = S7;
                    err = 1; // Signal error condition
                end else begin
                    next_state = S0; // Detected 0111110
                    disc = 1; // Signal discard
                end
            end
            S7: begin
                // Stay in error state
                next_state = (in) ? S7 : S0; // Reset on 0
                err = 1; // Remain in error condition
            end
            default: next_state = S0;
        endcase

        // Check for flag state
        if (state == S6 && in) begin
            flag = 1; // Signal flag on next cycle
        end
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum logic [2:0] {
        S0, // Initial state
        S1, // Received 0 after 5 ones (disc)
        S2, // Received 1, 1, 1, 1, 1 (counting)
        S3, // Received 1, 1, 1, 1, 1, 0 (flag)
        S4, // Error state for 7 or more ones
        S5  // 6 consecutive 1s identified
    } state_t;

    state_t state, next_state;

    always_ff @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always_ff @(posedge clk or posedge reset) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            disc <= 0;
            flag <= 0;
            err <= 0;

            case (state)
                S1: disc <= 1; // Signal disc on transition from S1
                S3: flag <= 1; // Signal flag on transition from S3
                S4: err <= 1;  // Signal err on transition from S4
            endcase
        end
    end

    always_comb begin
        case (state)
            S0: next_state = (in == 1) ? S1 : S0; // Start counting
            S1: next_state = (in == 1) ? S2 : S0; // Count 1's
            S2: next_state = (in == 1) ? S5 : S0; // Check for 6 1's
            S3: next_state = (in == 1) ? S4 : S0; // Transition to err state if 7th 1 received
            S4: next_state = (in == 1) ? S4 : S0; // Remain in err state
            S5: next_state = (in == 1) ? S4 : S0; // 6 1's followed by 0 (flag)
        endcase
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0,  // Initial state, expecting 0
        S1,  // Received 1
        S2,  // Received 11
        S3,  // Received 111
        S4,  // Received 1111
        S5,  // Received 11111
        S6,  // Received 111110
        S7   // Received 111111
    } state_t;

    state_t state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        disc = 0;
        flag = 0;
        err = 0;
        case (state)
            S0: begin
                if (in) next_state = S1;
                else next_state = S0;
            end
            S1: begin
                if (in) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in) next_state = S6;
                else next_state = S0;
            end
            S6: begin
                if (in) begin
                    next_state = S7;
                    err = 1; // Signal error
                end else begin
                    next_state = S0;
                    disc = 1; // Signal to discard
                end
            end
            S7: begin
                if (in) err = 1; // Remain in error state
                else next_state = S0;
            end
            default: next_state = S0; // Safe default
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            if (next_state == S6)
                disc <= 1;
            else if (next_state == S5 && in)
                flag <= 1;
            else if (next_state == S7)
                err <= 1;
        end
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    // State encoding
    typedef enum reg [2:0] {
        S0, // Initial state
        S1, // 0
        S2, // 01
        S3, // 011
        S4, // 0111
        S5, // 01111
        S6, // 011111
        S7, // 0111111 (error state)
        ERR, // Error state
        FLAG // Flag state
    } state_t;

    state_t state, next_state;

    // Sequential logic: state transitions
    always @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    // Combinational logic: next state and outputs
    always @(*) begin
        disc = 0;
        flag = 0;
        err = 0;
        case (state)
            S0: begin
                if (in) next_state = S1;
                else next_state = S0;
            end
            S1: begin
                if (in) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in) next_state = S6;
                else next_state = S0;
            end
            S6: begin
                if (in) begin
                    next_state = S7;
                    err = 1; // 7 or more 1s: error
                end else begin
                    next_state = FLAG;
                    flag = 1; // 01111110: flag
                end
            end
            S7: begin
                next_state = S7; // stay in error state
                err = 1;
            end
            FLAG: begin
                next_state = S0; // after flag state, go to S0
                flag = 1;
            end
            default: begin
                next_state = S0; // default to S0
            end
        endcase
    end

    // Discard logic: next state S5 -> S6 with a 0
    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
        end else if (state == S5 && in == 0) begin
            disc <= 1; // signal discard
        end else begin
            disc <= 0;
        end
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0, // Initial state
        S1, // One 1 received
        S2, // Two 1s received
        S3, // Three 1s received
        S4, // Four 1s received
        S5, // Five 1s received
        S6, // Six 1s received
        S7  // Seven 1s received
    } state_t;

    state_t state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        next_state = state;
        disc = 0;
        flag = 0;
        err = 0;

        case (state)
            S0: begin
                if (in == 1) next_state = S1;
            end

            S1: begin
                if (in == 1) next_state = S2;
                else next_state = S0; // Reset on 0
            end

            S2: begin
                if (in == 1) next_state = S3;
                else next_state = S0; // Reset on 0
            end

            S3: begin
                if (in == 1) next_state = S4;
                else next_state = S0; // Reset on 0
            end

            S4: begin
                if (in == 1) next_state = S5;
                else next_state = S0; // Reset on 0
            end

            S5: begin
                if (in == 1) next_state = S6;
                else next_state = S0; // Reset on 0
            end

            S6: begin
                if (in == 0) begin
                    disc = 1;  // 0111110
                    next_state = S0;
                end else if (in == 1) begin
                    next_state = S7; // Continue to 7 or more
                end
            end

            S7: begin
                if (in == 1) begin
                    err = 1;    // 01111111... Error
                end else begin
                    flag = 1;   // 01111110
                    next_state = S0;
                end
            end

        endcase
    end
endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);
    reg [3:0] state, next_state;

    localparam S0 = 4'b0000, // Initial state or after resetting
               S1 = 4'b0001, // 0
               S2 = 4'b0010, // 01
               S3 = 4'b0011, // 011
               S4 = 4'b0100, // 0111
               S5 = 4'b0101, // 01111
               S6 = 4'b0110, // 011111
               S7 = 4'b0111; // 0111111

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
            // Clear outputs for the next cycle
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
    end

    always @(*) begin
        case (state)
            S0: begin
                if (in) next_state = S1; else next_state = S0;
            end
            S1: begin
                if (in) next_state = S2; else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3; else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4; else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5; else next_state = S0;
            end
            S5: begin
                if (in) next_state = S6; else next_state = S0;
            end
            S6: begin
                if (in) begin
                    next_state = S7;
                    err = 1; // Signal error on 7 or more consecutive 1s
                end else begin
                    next_state = S0;
                    disc = 1; // Signal to discard the inserted 0
                end
            end
            S7: begin
                // Remain in error state for 7 or more 1s
                next_state = S7;
                err = 1;
            end
            default: next_state = S0;
        endcase

        // Check for frame flags
        if (state == S6 && in == 0) begin
            flag = 1; // 01111110 found
        end
    end
endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    reg [3:0] state, next_state;

    // State encoding
    parameter S0 = 4'b0000; // Initial state, expecting 0
    parameter S1 = 4'b0001; // 0 followed by 1
    parameter S2 = 4'b0010; // 01
    parameter S3 = 4'b0011; // 011
    parameter S4 = 4'b0100; // 0111
    parameter S5 = 4'b0101; // 01111
    parameter S6 = 4'b0110; // 011111
    parameter S7 = 4'b0111; // 0111110 (disc)
    parameter S8 = 4'b1000; // 01111110 (flag)
    parameter S9 = 4'b1001; // 01111111... (err)

    always @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always @(*) begin
        disc = 0;
        flag = 0;
        err = 0;
        next_state = state;

        case (state)
            S0: if (in) next_state = S1; // Transition to S1 on receiving 1
            S1: if (in) next_state = S2; else next_state = S0; // 0 or 1
            S2: if (in) next_state = S3; else next_state = S0; // 0 or 1
            S3: if (in) next_state = S4; else next_state = S0; // 0 or 1
            S4: if (in) next_state = S5; else next_state = S0; // 0 or 1
            S5: if (in) next_state = S6; else next_state = S0; // 0 or 1
            S6: if (in) next_state = S9; else next_state = S7; // 0 for disc
            S7: if (in) begin next_state = S8; disc = 1; end // Transition to flag on 1
            S8: begin flag = 1; next_state = S0; end // After one clock cycle, reset back to S0
            S9: begin err = 1; next_state = S0; end // After error, reset back to S0
            default: next_state = S0;
        endcase
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0, // Initial state (previous input treated as 0)
        S1, // 0
        S2, // 01
        S3, // 011
        S4, // 0111
        S5, // 01111
        S6, // 011111
        S7, // 0111110
        S8  // 01111110
    } state_t;

    state_t state, next_state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
    end

    always @(*) begin
        case (state)
            S0: begin
                if (in == 1) next_state = S1;
                else next_state = S0;
            end
            S1: begin
                if (in == 1) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in == 1) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in == 1) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in == 1) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in == 1) next_state = S6;
                else next_state = S0;
            end
            S6: begin
                if (in == 1) next_state = S7;
                else next_state = S0;
            end
            S7: begin
                if (in == 1) begin
                    next_state = S8;
                    err = 1; // Error state
                end else begin
                    next_state = S0;
                end
            end
            S8: begin
                if (in == 0) begin
                    next_state = S0;
                    flag = 1; // Flag detected
                end else begin
                    next_state = S8;
                end
            end
            default: next_state = S0;
        endcase
    end

    always @(posedge clk) begin
        if (state == S7) begin
            disc <= 1; // Discard signal for 0111110
        end
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    reg [2:0] state, next_state;

    // State encoding
    localparam S0 = 3'b000; // Initial state, waiting for 0
    localparam S1 = 3'b001; // One 1 detected
    localparam S2 = 3'b010; // Two 1s detected
    localparam S3 = 3'b011; // Three 1s detected
    localparam S4 = 3'b100; // Four 1s detected
    localparam S5 = 3'b101; // Five 1s detected
    localparam S6 = 3'b110; // Six 1s detected
    localparam S7 = 3'b111; // Seven or more 1s detected

    // Output logic
    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
        else begin
            state <= next_state;
            disc <= (state == S5) ? 1 : 0; // Signal disc on S5
            flag <= (state == S6) ? 1 : 0; // Signal flag on S6
            err <= (state == S7) ? 1 : 0; // Signal error on S7
        end
    end

    // Next state logic
    always @(*) begin
        case (state)
            S0: next_state = (in) ? S1 : S0;
            S1: next_state = (in) ? S2 : S0;
            S2: next_state = (in) ? S3 : S0;
            S3: next_state = (in) ? S4 : S0;
            S4: next_state = (in) ? S5 : S0;
            S5: next_state = (in) ? S6 : S0; // If 6th 1, go to S6 (flag)
            S6: next_state = (in) ? S7 : S0; // If next is 1, go to S7 (err)
            S7: next_state = (in) ? S7 : S0; // Stay in S7 on 1, reset on 0
            default: next_state = S0;
        endcase
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0, // Initial state
        S1, // Received 1 -> S1
        S2, // Received 11 -> S2
        S3, // Received 111 -> S3
        S4, // Received 1111 -> S4
        S5, // Received 11111 -> S5
        S6, // Received 111111 -> S6
        S7  // Error state (7 or more 1s)
    } state_t;

    state_t state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        next_state = state;
        disc = 0;
        flag = 0;
        err = 0;

        case (state)
            S0: begin
                if (in) next_state = S1;
            end
            S1: begin
                if (in) next_state = S2;
                else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3;
                else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4;
                else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5;
                else next_state = S0;
            end
            S5: begin
                if (in) begin
                    disc = 1; // 0111110 condition
                    next_state = S6;
                end else
                    next_state = S0;
            end
            S6: begin
                if (in) begin
                    flag = 1; // 01111110 flag condition
                    next_state = S1;
                end else begin
                    next_state = S0;
                end
            end
            S7: begin
                err = 1; // 01111111 error condition
                if (!in) next_state = S0; // reset on 0
            end
        endcase

        if (state == S5 && in) next_state = S7; // transition to error on 7 or more 1s
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    reg [3:0] state, next_state;

    // State Encoding
    parameter S0 = 4'b0000; // Initial state, 0 or more 0s
    parameter S1 = 4'b0001; // 01
    parameter S2 = 4'b0010; // 011
    parameter S3 = 4'b0011; // 0111
    parameter S4 = 4'b0100; // 01111
    parameter S5 = 4'b0101; // 011111
    parameter S6 = 4'b0110; // 0111110
    parameter S7 = 4'b0111; // 01111110
    parameter S8 = 4'b1000; // 01111111 (Error State)

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            state <= next_state;
            // Reset outputs
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
    end

    always @(*) begin
        case (state)
            S0: begin
                if (in) next_state = S1; else next_state = S0;
            end
            S1: begin
                if (in) next_state = S2; else next_state = S0;
            end
            S2: begin
                if (in) next_state = S3; else next_state = S0;
            end
            S3: begin
                if (in) next_state = S4; else next_state = S0;
            end
            S4: begin
                if (in) next_state = S5; else next_state = S0;
            end
            S5: begin
                if (in) next_state = S6; else next_state = S0;
            end
            S6: begin
                if (in) begin
                    next_state = S7;
                    flag = 1; // Signal flag
                end else begin
                    next_state = S0;
                    disc = 1; // Signal discard
                end
            end
            S7: begin
                if (in) begin
                    next_state = S8; // Transition to Error state
                    err = 1; // Signal error
                end else begin
                    next_state = S0;
                end
            end
            S8: begin
                if (in) next_state = S8; else next_state = S0; // stay in error state
            end
            default: begin
                next_state = S0;
            end
        endcase
    end

endmodule

module top_module (
    input clk,
    input reset,
    input in,
    output reg disc,
    output reg flag,
    output reg err
);

    typedef enum reg [2:0] {
        S0,  // Initial state
        S1,  // 0
        S2,  // 1
        S3,  // 11
        S4,  // 111
        S5,  // 1111
        S6,  // 11111
        S7   // 111111
    } state_t;

    state_t current_state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            current_state <= S0;
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            current_state <= next_state;
        end
    end

    always @(*) begin
        next_state = current_state;
        disc = 0;
        flag = 0;
        err = 0;

        case (current_state)
            S0: begin
                if (in) next_state = S1; // 0
            end
            S1: begin
                if (in) next_state = S2; // 1
            end
            S2: begin
                if (in) next_state = S3; // 11
                else next_state = S0; // 0
            end
            S3: begin
                if (in) next_state = S4; // 111
                else next_state = S0; // 0
            end
            S4: begin
                if (in) next_state = S5; // 1111
                else next_state = S0; // 0
            end
            S5: begin
                if (in) next_state = S6; // 11111
                else next_state = S0; // 0
            end
            S6: begin
                if (in) begin
                    next_state = S7; // 111111
                    err = 1; // Error detected
                end else begin
                    next_state = S0; // 0
                end
            end
            S7: begin
                if (in) begin
                    err = 1; // Error continues
                end else begin
                    next_state = S0; // 0
                end
            end
        endcase

        // Handle disc and flag outputs
        if (current_state == S5 && in == 0) begin
            disc = 1;
            next_state = S0; // Reset
        end else if (current_state == S6 && in == 1) begin
            flag = 1;
        end
    end

endmodule