For A = 1, B = 0 and C = 1, what will be the value of Q in the following logic…

2018

For A = 1, B = 0 and C = 1, what will be the value of Q in the following logic diagram?

image.png

  1. A.

    0

  2. B.

    1

  3. C.

    Cannot be determined

  4. D.

    Both 0 and 1

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Show answer & explanation

Correct answer: A

First, evaluate the top AND gate with inputs A=1 and B=0. Since one input is 0, the output is 0. Next, analyze the lower section where an OR gate takes B=0 and C=1 to produce 1, while a bottom AND gate takes the same inputs to produce 0. These results feed into another AND gate, resulting in 1 AND 0 which is 0. Finally, the output Q combines the top result (0) and lower section result (0) via an OR gate, yielding a final value of 0.

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