A digital comparator or magnitude comparator is a hardware electronic device that takes two numbers as input in binary form and determines whether one number is greater than, less than, or equal to the other number. Comparators are used in central processing units (CPUs) and microcontrollers (MCUs). In this problem, you will improve the design mentioned above to include the signed binary numbers. Suppose the numbers are 5-bit twos complement signed binary numbers and the designed comparator will be able to compare them and produce the appropriate outputs. Suppose the inputs are A = A4 A3 A2 A1 A0 and B = B4 B3 B2 B1 B0, and the outputs are G, L, and Eso that G is 1 only when A > B, L is 1 only when A < B, and E is 1 only when A = B.

a) Find the Boolean expressions for the outputs G, L and E.

b) Implement the digital circuit of the comparator.