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's the Verilog code for 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:

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

wire [3:0] greater;
wire [3:0] equal;

generate
    for (i = 0; i < 4; i = i + 1) begin : compare_bits
        xor(greater[i], A[i], B[i]);
        xor(equal[i], A[i], B[i]);
    end
endgenerate

assign GT = greater[3] | (greater[2] & !greater[3]) | (greater[1] & !greater[3] & !greater[2]) | (greater[0] & !greater[3] & !greater[2] & !greater[1]);
assign EQ = !greater[3] & !greater[2] & !greater[1] & !greater[0] & equal[3] & equal[2] & equal[1] & equal[0];

endmodule

The comparator module takes in two 4-bit inputs, A and B, and outputs two 1-bit signals, GT and EQ. The generate statement is used to create four instances of the same circuit that compares one bit of A and B, and generates two 1-bit signals, greater and equal, for each bit.

The GT output is generated using a cascading OR gate structure. The most significant bit (MSB) of A and B are compared first, and if A is greater than B, GT is set to 1. If MSB of A and B are equal, the second most significant bit is compared, and so on.

The EQ output is generated using an AND gate structure. If all bits of A and B are equal, EQ is set to 1.

Note that this implementation assumes that A and B are both valid 4-bit binary numbers. If the inputs are not valid binary numbers, the behavior of the circuit is undefined.