The product of sum expression of a Boolean function F(A,B,C) of three…

GATE · 2018 · IN · Instrumentation Engineering

The product of sum expression of a Boolean function F(A,B,C) of three variables is given by

F(A,B,C) = (A + B + C̄) · (A + B̄ + C̄) · (Ā + B + C) · (Ā + B̄ + C̄)

The canonical sum of product expression of F(A,B,C) is given by

  1. A.

    ĀB̄C + ĀBC + AB̄C̄ + ABC

  2. B.

    ĀB̄C̄ + ĀBC̄ + AB̄C + ABC̄

  3. C.

    ABC̄ + AB̄C̄ + ĀBC + ĀB̄C̄

  4. D.

    ĀB̄C̄ + ĀBC + ABC̄ + ABC

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