Question

Minimization of function F(A,B,C) = A*B*(B+C) is _________

(a) AC

(b) B+C

(c) B`

(d) AB

This question was addressed to me by my school principal while I was bunking the class.

My enquiry is from Boolean Functions topic in section Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer 1

Right answer is (d) AB

Explanation: AB(B+C)

= ABB + ABC [Applying distributive rule]

= AB + ABC [Applying Idempotent law]

= AB (1+C)

= AB*1 [As, 1+C=1]  

= AB.