combinational circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). XYZ represents a binary number whose value equals the number of 1’s at the input. For example if ABCD = 1011, XYZ = 011.(Step by step) 1,Construct a truth table for this circuit in terms of its inputs and outputs. 2,Find the minterm expansions for X and Y. 3,Find the maxterm expansion for Z.

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A combinational circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). XYZ represents a binary number whose value equals the number of 1’s at the input. For example if ABCD = 1011, XYZ = 011.(Step by step)

1,Construct a truth table for this circuit in terms of its inputs and outputs.

2,Find the minterm expansions for X and Y.

3,Find the maxterm expansion for Z.

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