Consider 4-variable functions f1, f2, f3, f4 expressed in sum-of-minterms form…

GATE · 2024 · CS · Set 2 · Computer Science & IT

Consider 4-variable functions f1, f2, f3, f4 expressed in sum-of-minterms form as given below.

        f1 = ∑(0,2,3,5,7,8,11,13)

        f2 = ∑(1,3,5,7,11,13, 15)

        f3 = ∑(0,1,4,11) f4 = ∑(0,2,6,13)

With respect to the circuit given above, which of the following options is/are CORRECT?

  1. A.

    𝒀 = ∑(0,1,2,11,13)

  2. B.

    𝒀 = Π(3,4, 5,6,7,8,9,10,12,14,15)

  3. C.

    𝒀 = ∑(0,1,2,3,4,5,6,7)

  4. D.

    𝒀 = Π(8,9,10,11,12,13,14,15)

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