What is the output of the following logic diagram? In the given options, ⊕…

2018

What is the output of the following logic diagram? In the given options, ⊕ represents XOR operation, whereas ⊗ represents XNOR operation.

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  1. A.

    A⊕B

  2. B.

    A⊗B

  3. C.

    AB

  4. D.

    A'B'

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Show answer & explanation

Correct answer: A

The logic circuit has two parallel paths feeding into a final OR gate. The top path inverts A to get not-A, which is ANDed with B to produce not-A times B. The bottom path inverts B to get not-B, which is ANDed with A to produce A times not-B. The OR gate combines these outputs into not-A times B plus A times not-B, which corresponds to the XOR operation.

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