Question

The complement term for X’.Y’.Z + X.Y will be _____________

(a) XYZ’+X’Y’

(b) (X+Y+Z’)(X’+Y’)

(c) (X+Y+Z’)(X’+Y)

(d) (X+Y+Z’)(X’+Y)

This question was posed to me during an interview.

Query is from Boolean Functions in section Boolean Algebra and Logic Circuits of Computer Fundamentals

Answer 1

The correct choice is (b) (X+Y+Z’)(X’+Y’)

Best explanation: The OR and  AND operators are interchanged. The complement terms are reduced to normal terms and the result is obtained.