Question

find the complement of xyz'+(xy)'+xy'​

Answer 1

Answer:

(x'+y'+z).(x'+y').(x'+y)

Explanation:

Let a= xyz'+(xy)'+xy'​

Complement of a = a' = (xyz'+(xy)'+xy'​)'

Using laws:

(ab)'= a'+b'

(a+b)'=a'.b'

a' = (xyz'+(xy)'+xy'​)'

= (xyz')'.(xy).(xy')'

=(x'+y'+z).(x'+y').(x'+y)