Gate2019 cs Q40

40Consider three 4-variable functions f₁, f₂, and f3, which are expressed in sum-of-minterms as
f₁ = Σ(0, 2, 5, 8, 14), f₂ = Σ(2, 3, 6, 8, 14, 15), f₃ = Σ (2, 7, 11, 14)
For the following circuit with one AND gate and one XOR gate, the output function f can be expressed as:

Option : A
Explanation :
f₁ . f₂ = Σ(2, 8, 14)
f₁ = f₃⊕ (f₁ . f₂)
= Σ(7, 8, 11)

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