Design a circuit to compare two 2-bit numbers A and B ( A = a1 a0 ; B = b1 b0 ). The circuit has three outputs G (greater than), E (equal to) and L...

Design a circuit to compare two 2-bit numbers A and B (A = a1 a0; B = b1 b0). The circuit has three outputs G (greater than), E (equal to) and L (less than) so that:

• G = 1 if A > B,
• E = 1 if A = B, and
• L = 1 if A < B.

Note: Inputs to the circuit must be named as a1, a0, b1, b0, G, E and L. Respect upper and lower cases.