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).

Question

Quizplus · Accepted Answer

The complement of a function F is obtained by changing OR to AND, AND to OR, complementing each literal, and complementing the entire function. The given function is X'.Y'.Z + X.Y. Its complement can be found using De Morgan's laws: [(X'+Y'+Z')(X'+Y)]. Simplifying, we get (x+y+z')(x'+y'), which matches option B.

The Complement Term for X