Question: Design a four - input ( A , B , C , D ) and one - output ( Z ) combinational circuit, where the

Design a four-input (A, B, C, D) and one-output (Z) combinational circuit, where the
inputs AB represents a 2-bit binary number and the inputs CD represent another 2-bit number. The output Z is
1 if AB and CD are equal; otherwise, Z=0. Show your work to get credit.
a.(4 pts) Construct a truth table for the circuit.
b.(11 pts) Find all prime implicants and essential prime implicants using K-map. Write a simplified
sum-of-products expression.
Prime Implicants =_____________________________________________________
Essential Prime Implicants =_____________________________________________________
Output Z =_____________________________________________________

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