$n$ -bit comparator

Design a circuit that compares two $n$ -bit numbers represented in binary code and indicates whether the first is greater than, equal to or smaller than the second.

The number of bits of the numbers must be a parameter of the module with a default value as shown in the specification.

Specification

module cmp(a, b, eq, gt, lt);
    parameter N=16;
    input [N-1:0] a, b;
    output eq, gt, lt;

Hint

Design a 1-bit comparator that receives the result of the comparison of the least-significant bits. Use $n$ instances of this circuit.

Input

a and b are the two $n$ -bit input numbers.

Output

eq indicates that a=b.
gt indicates that a $>$ b.
lt indicates that a $<$ b.

Problem information

Author: Jordi Cortadella