The following diagram shows a logic gate?

2013

The following diagram shows a

image.png

logic gate?

  1. A.

    Exclusive-NOR gate

  2. B.

    NAND gate

  3. C.

    AND gate

  4. D.

    OR gate

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Correct answer: A

Answer: The circuit is the Exclusive-NOR gate (XNOR).

How to identify from the diagram:

  • The gate outline looks like an OR gate with an extra curved input line just before the gate — that extra curve denotes exclusive-OR (XOR) behavior.

  • There is a small circle (inversion bubble) at the output — that indicates the output is inverted. XOR followed by inversion gives XNOR.

Boolean expressions:

  • XNOR as complement of XOR: Y = (A ⊕ B)'

  • Canonical form: Y = A·B + Ā·B̄

Therefore the correct answer is the Exclusive-NOR gate (XNOR).

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