Exam Questions Papers - Engineering

Q1:

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)

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

B 0

C Σ(14)

D 1

ANS:C - Σ(14)

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.