Question

Simplify Y = AB’ + (A’ + B)C.

(a) AB’ + C

(b) AB + AC

(c) A’B + AC’

(d) AB + A

I had been asked this question in exam.

This question is from Boolean Logic Operations topic in portion Boolean Algebra and Minimization Techniques and Logic Gates of Digital Circuits

Answer 1

Right choice is (a) AB’ + C

To explain I would say: Y = AB’ + (A’ + B)C = AB’ + (AB’)’C = (AB’ + C)(  AB’ + AB’) = (AB’ + C).1 = (AB’ + C).