Simplifying Boolean algebra question

Question

I'm not quite sure how to go about simplifying this boolean expression, any help would be great.

X'Y'+X'Z'+Y'Z

Answer 1

You can reduce the three terms to two terms:

$$\begin{align} X'Y'+X'Z'+Y'Z &= X'Y'(Z + Z') + X'Z' + Y'Z \\ & = Z(X'Y' + Y') + Z'(X'Y'+X') \\ & = X'Z' + Y'Z \end{align}$$