Which of the following logic operations is performed by the following given combinational circuit?
Which of the following logic operations is performed by the following given combinational circuit?
Circuit: inputs x and y feed a NOR gate G1. Gate G2 is a NOR gate with inputs x and G1. Gate G3 is a NOR gate with inputs y and G1. The outputs of G2 and G3 feed an OR gate whose output is f.
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Correct answer: (A) EXCLUSIVE-OR
Explanation
G1 = (x + y)'. G2 = (x + (x + y)')' = x'(x + y) = x'y. G3 = (y + (x + y)')' = y'(x + y) = xy'. f = x'y + xy' = x ⊕ y, i.e. EXCLUSIVE-OR.