Question

Simplify the expression using K-maps: F(A,B,C) = π(0,2,4,5,7).

(a) (x+y)(y+z)(x+z)(x’+z’)

(b) (x+z’)(y+z)(x+y)

(c) (x+y’+z)(x+z’)

(d) (y’+z’)(x’+y)(z+y’)

I have been asked this question in an interview.

The doubt is from Boolean Algebra in section Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer 1

The correct option is (a) (x+y)(y+z)(x+z)(x’+z’)

To elaborate: By solving the given expression, the maxterms are: (x+y), (x’+y), (x+z) and (x’+z’). Hence, we can get required expression (x+y)(x’+y)(x+z)(x’+z’).