Consider the following logic circuit whose inputs are functions f₁, f₂, f₃ and…

GATE · 2002 · CS · Question 2 subparts

Consider the following logic circuit whose inputs are functions f₁, f₂, f₃ and whose output is f.

logic circuit with inputs f1, f2, f3 and output f

Given that

f1(x, y, z) = ∑(0, 1, 3, 5),
f2(x, y, z) = ∑(6, 7) and
f(x, y, z) = ∑(1, 4, 5),

f₃ is:

  1. A.

    ∑(1, 4, 5)

  2. B.

    ∑(6, 7)

  3. C.

    ∑(0, 1, 3, 5)

  4. D.

    None of these

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