Design a logic circuit that takes as input two numbers A and B of two bits each. This circuit has three outputs. The output X tells us if A and B are equal. Output Y tells us if A > B and output Z tells us if B > A.

You must use 3 74LS138 circuits (74138, 74HC138, ETC). EXACTLY THREE. You can also use three NANDS with the number of inputs you need.

It must include: The truth table and the circuit that solves it.