Question

(X+Y`)(X+Z) can be represented by _____

(a) (X+Y`Z)

(b) (Y+X`)

(c) XY`

(d) (X+Z`)

I got this question in an online quiz.

This is a very interesting question from Boolean Functions topic in section Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer 1

Correct option is (a) (X+Y`Z)

The explanation is: (X+Y`) (X+Z)

= XX + XZ + XY`+ Y`Z

= X + XZ + XY`+ Y`Z

= X (1+Z) + XY`+ Y`Z

= X.1 + XY`+ Y`Z

= X (1+Y`) + Y`Z

= X + Y`Z.