This is done with a combinational circuit that has five inputs: S1 through S4 and C4, and three outputs, designed by x, y, and z, so that x = 1 if A = B (S = 0000) y = 1 if A < B (C4 = 0) z = 1 if A > B (C4 = 1 and S ≠ 0000) (a) Obtain the function for x, y and z respectively. (b) Design this combinational logic circuit with minimum number of gates. The combinational circuit can be implemented with the 7404 and 7408(or 7432) ICs. (c) Construct the comparator circuit and test its operation. Use at least two sets of numbers for A and B to check each of the outputs, x, y, and z.