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Find 'X' in the circuit below : f1(A, B, C, D) = Σ(6, 7, 13, 14); f2(A, B, C, D) = Σ(3, 6, 7); f3(A, B, C, D) = Σ(5, 6, 7, 14, 15)

Q: Find 'X' in the circuit below : f1(A, B, C, D) = Σ(6, 7, 13, 14); f2(A, B, C, D) = Σ(3, 6, 7); f3(A, B, C, D) = Σ(5, 6, 7, 14, 15)

f1(A, B, C, D) = ∑(6, 7, 13, 14) f2(A, B, C, D) = ∑(3, 6, 7) f1 ⊕ f2 = ∑(3, 13, 14) f3 x (f1 ⊕ f2) = ∑(14) = y X = f1 x y ⇒ ∑14.

p(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15)
0
Σ(14)
1

Correct Answer: Σ(14)

Explanation:

f₁(A, B, C, D) = ∑(6, 7, 13, 14)

f₂(A, B, C, D) = ∑(3, 6, 7)

f₁ ⊕ f₂ = ∑(3, 13, 14)

f₃ x (f₁ ⊕ f₂) = ∑(14) = y

X = f₁ x y ⇒ ∑14.

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