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 one possible implementation of the 4-bit comparator in Verilog:

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

wire [3:0] diff = A - B; // calculate the difference between A and B

assign GT = diff[3] ? 1 : // check the most significant bit first
             diff[2] ? 1 :
             diff[1] ? 1 :
             diff[0] ? 1 : 0;

assign EQ = (diff == 0) ? 1 : 0; // check if A and B are equal

endmodule

In this implementation, we first calculate the difference between A and B using Verilog's built-in subtraction operator. We then use a series of ternary operators to check the most significant bit first, and continue down to the least significant bit. If the corresponding bit in the difference is 1, then A is greater than B and we set the GT output to 1. Otherwise, we continue to the next bit. If none of the bits are 1, then A is not greater than B and we set GT to 0.

We also check if A and B are equal by comparing the entire difference to 0. If they are equal, we set the EQ output to 1, otherwise, we set it to 0.

Note that in this implementation, we use a generate statement to automatically instantiate the necessary gates for the subtraction operation, as well as the wires for the diff signal.