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

module comparator(A, B, GT, EQ);
  input [3:0] A, B;
  output GT, EQ;
  
  wire [3:0] a_not, b_not;
  assign a_not = ~A;
  assign b_not = ~B;

  wire [2:0] m;
  assign m[2] = a_not[3] & !b_not[3];
  assign m[1] = (a_not[3] == b_not[3]) & (a_not[2] & !b_not[2] | a_not[2] == b_not[2] & (a_not[1] & !b_not[1] | a_not[1] == b_not[1] & a_not[0] == b_not[0]));
  assign m[0] = A == B;
  
  assign GT = m[2];
  assign EQ = m[0];
endmodule

The comparator module takes two 4-bit input signals A and B, and outputs two 1-bit signals GT and EQ. The a_not and b_not wires are used to invert the A and B inputs. The m[2], m[1], and m[0] wires represent the three levels of comparison that need to be evaluated.

The first level of comparison checks whether A is greater than B based on the values of their most significant bits a3 and b3. If a3 is 1 and b3 is 0, then m[2] is set to 1, indicating that A is greater than B. Otherwise, m[2] is set to 0.

The second level of comparison checks whether A is greater than B based on the values of the next most significant bits a2 and b2, but only if the most significant bits of A and B are equal. If a2 is 1 and b2 is 0, then m[1] is set to 1, indicating that A is greater than B. Otherwise, m[1] is set to 0.

The third level of comparison checks whether A is equal to B. If all bits of A and B are the same, then m[0] is set to 1, indicating that A and B are equal. Otherwise, m[0] is set to 0.

Finally, the GT and EQ outputs are assigned the values of m[2] and m[0], respectively.