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Q#1 Combinational Circuits GATE EE 2007 MCQ +2 marks -0.66 marks

A, B, C and D are input bits, and Y is the output bit in the XOR gate circuit of the figure below. Which of the following statements about the sum S of A. B, C, D and Y is correct?

S is always either zero or odd

S is always either zero or even

S = 1 only if the sum of A, B, C and D is even

S= 1 only if the sum of A, B, C and D is odd

Explanation:

Expression of sum of 4 bits A, B, C and D is

Expression of Y=

Expression of S=

So, S is always zero or even

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