Question

In Boolean algebra, what will not (A + not (B)).C) be equal to?

(a) 1

(b) 2

(c) 3

(d) 4

The question was posed to me in quiz.

I'm obligated to ask this question of Digital Electronics and Logic Gates topic in portion Semiconductor Electronics : Materials, Devices and Simple Circuits of Physics – Class 12

Answer 1

Right choice is (c) 3

Explanation: not (A + not (B)).C) = not (A + not (B)) + not (C)     [From De Morgan’s theorem]

 not (A + not (B)).C) = not (A).not (B) + not(C)     [From De Morgan’s theorem]

 not (A + not (B)).C) = not (A).B + not (C)