Question 56
Which of the following is not valid Boolean algebra rule ?
The absorption identity is X + XY = X, while X' + XY simplifies by distributivity to (X'+X)(X'+Y) = 1$\cdot (X'+Y) = X'+Y$. This is not generally equal to Y (for $X=1,Y=0$, the left side is 0 and the right side is 0; but for $X=0,Y=0$, left side is 1 and right side is 0). The other three expressions are standard valid Boolean identities. Therefore X' + XY = Y is invalid.