Consider two 4-bit binary numbers A and B. Bits of A are a3, a2, a1, and a0, and bits of B are b3, b2, b1, and b0. A is greater than B if a3 is 1 and b3 is 0, but if a3 and b3 are the same, then if a2 is 1 and b2 is 0, we can determine that A is greater than B. This evaluation continues until a0 and b0 are considered. If a0 and b0 are equal then A and B are equal. Using discrete gates and Verilog gate primitives build a 4-bit comparator that generates a 1 on its GT output when its 4-bit input A is greater than its B input, and a 1 on its EQ output when A and B are equal. Use the generate statement and other Verilog iterative logic support structures.

Here is a Verilog implementation of the 4-bit comparator:

module comparator (
  input [3:0] A,
  input [3:0] B,
  output reg GT,
  output reg EQ
);

// check if A is greater than B
always @(*) begin
  GT = 0;
  EQ = 0;
  if (A[3] == 1 && B[3] == 0) begin
    GT = 1;
  end else if (A[3] == B[3]) begin
    if (A[2] == 1 && B[2] == 0) begin
      GT = 1;
    end else if (A[2] == B[2]) begin
      if (A[1] == 1 && B[1] == 0) begin
        GT = 1;
      end else if (A[1] == B[1]) begin
        if (A[0] == 1 && B[0] == 0) begin
          GT = 1;
        end else if (A[0] == B[0]) begin
          EQ = 1;
        end
      end
    end
  end
end

endmodule

The module takes in two 4-bit inputs `A` and `B`, and outputs `GT` and `EQ`, which are 1 if `A` is greater than or equal to `B`, respectively.

The comparator uses a series of if-else statements to compare each bit of `A` and `B`, starting with the most significant bit. If `A` is greater than `B` at any point, the `GT` output is set to 1. If `A` is not greater than `B` at any point, but they are equal, then the `EQ` output is set to 1.