A Boolean digital circuit is composed using two 4-input multiplexers (M1 and…

GATE · 2023 · CS · Computer Science & IT

A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. X0–X7 are the inputs of the multiplexers M1 and M2 and could be connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables A, B and C as shown.

Which one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function

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  1. A.

    (1, 1, 0, 0, 1, 1, 1, 0)

  2. B.

    (1, 1, 0, 0, 1, 1, 0, 1)

  3. C.

    (1, 1, 0, 1, 1, 1, 0, 0)

  4. D.

    (0, 0, 1, 1, 0, 1, 1, 1)

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