Identify the logic function performed by the circuit shown

2009

Identify the logic function performed by the circuit shown

image.png

  1. A.

    exclusive OR

  2. B.

    exclusive NOR

  3. C.

    NAND

  4. D.

    NOR

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Correct answer: B

The circuit uses four NOR gates. The first gate outputs x NOR y. Subsequent gates simplify to (NOT x) AND y and x AND (NOT y). The final gate computes the NOR of these terms, resulting in NOT((NOT x AND y) OR (x AND NOT y)), which is the Exclusive NOR (XNOR) function.

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