Consider three 4-variable functions f1, f2, and f3, which are expressed in…

GATE · 2019 · CS · Computer Science & IT

Consider three 4-variable functions f1, f2, and f3, which are expressed in sum-of-minterms as

f1=Σ(0,2,5,8,14),f_1=\Sigma(0,2,5,8,14),

f2=Σ(2,3,6,8,14,15),f_2=\Sigma(2,3,6,8,14,15),

f3=Σ(2,7,11,14)f_3=\Sigma (2,7,11,14)

For the following circuit with one AND gate and one XOR gate, the output function ff can be expressed as:

  1. A.

    ​​Σ(7,8,11)​​\Sigma(7,8,11)

  2. B.

    ​​Σ(2,7,8,11,14)​​\Sigma(2,7,8,11,14)

  3. C.

    ​​Σ(2,14)​​\Sigma(2, 14)

  4. D.

    Σ(0,2,3,5,6,7,8,11,14,15)\Sigma (0,2,3,5,6,7,8,11,14,15)

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