Consider the following logic circuit whose inputs and function and output is f.
Given that
f1(dx, y, z) = ∑(0, 1, 3, 5), f2(dx, y, z) = ∑(6, 7) and f(dx, y, z) = ∑(1, 4, 5),
f3 is :
(A) ∑(1, 4, 5)
(B) ∑(6, 7)
(C) ∑(0, 1, 3, 5)
(D) None of these
Answer: (A)
Explanation: Function f will be:
f = ((f1f2)′(f3)')′ = (f1f2) + f3
Since AND of two expressions will contain the common terms and f1 and f2 don’t have any common term, so f1f2 is 0 and hence f = f3 = Σ(1,4,5).
Option (A) is correct.
Quiz of this Question