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. The code should be as simple as possible。

Here is the Verilog code for a 4-bit comparator that generates a 1 on its GT output when A is greater than B and a 1 on its EQ output when A and B are equal:

module comparator(A, B, GT, EQ);
  input [3:0] A, B;
  output GT, EQ;
  
  assign GT = (A[3] > B[3]) ? 1 :
              (A[3] == B[3] && A[2] > B[2]) ? 1 :
              (A[3:2] == B[3:2] && A[1] > B[1]) ? 1 :
              (A[3:1] == B[3:1] && A[0] > B[0]) ? 1 : 0;
  
  assign EQ = (A == B) ? 1 : 0;
endmodule

In this code, we use the ternary operator to evaluate whether A is greater than B or equal to B at each bit position. If A is greater than B at any bit position, we set GT to 1 and exit the comparator. If A is not greater than B at any bit position, we check if A and B are equal. If they are, we set EQ to 1. If they are not, we set EQ to 0.