engineering recuitment GATE ECE 2023-24 Test Series Digital Electronics Logic Gates and Boolean Algebra Boolean Functions
A Boolean function F of three variables X, Y, and Z is given as
F (X, Y, Z) = (Xʹ + Y + Z)˖(X + Yʹ + Zʹ )˖(Xʹ + Y + Zʹ )˖( Xʹ Yʹ Zʹ + Xʹ Y Zʹ + X Y Zʹ )
Which one of the following is true
1
F (X, Y, Z) = (X + Y + Zʹ)˖( Xʹ + Yʹ +Zʹ
2
F (X, Y, Z) = (Xʹ + Y)˖(X + Y ʹ+ Zʹ )
3
F (X, Y, Z) = Xʹ Zʹ + Y Zʹ
4
F (X, Y, Z) = Xʹ Yʹ Z + X Y Z