Which of the following logic operations is performed by the given…

2016

Which of the following logic operations is performed by the given combinational circuit?

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  1. A.

    EXCLUSIVE-OR

  2. B.

    EXCLUSIVE-NOR

  3. C.

    NAND

  4. D.

    NOR

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Correct answer: A

First, calculate the output of the initial NOR gate as $(x+y)'$. Then, determine that the two middle NOR gates generate $x'y$ and $xy'$ respectively. Finally, observe that the OR gate sums these terms to produce $x'y + xy'$, which is the Exclusive-OR (XOR) function.

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