What will be the output of the following digital circuit, where X′ represents…

2019

What will be the output of the following digital circuit, where X′ represents the complement of the binary variable X?

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  1. A.

    0

  2. B.

    1

  3. C.

    X′

  4. D.

    X

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Show answer & explanation

Correct answer: B

Answer: 1 (constant HIGH output) 1. The top gate computes 1 X, which simplifies to X'.
2. The right gate computes X' X.
3. Since X and X' are complementary by definition, one input will always be 1 and the other will always be 0. An XOR gate outputs 1 whenever its inputs differ.

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