Question

Simplify the expression: XY’ + X’ + Y’X’.

(a) X’ + Y

(b) XY’

(c) (XY)’

(d) Y’ + X

The question was posed to me by my school teacher while I was bunking the class.

I would like to ask this question from Minimization of Boolean Functions topic in portion Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer 1

The correct answer is (c) (XY)’

Easy explanation: Given XY’+X’+Y’X’ = Y’(X+X’) + X’ = Y’.1 + X’ = X’ + Y’ = (XY)’ [De Morgan’s law].