Answer to Question #264359 in Discrete Mathematics for Liz

Question

Use properties of Boolean algebra to simplify the following Boolean expression (showing all the steps):

(x + y′)(x′ + y′)′

Answer 1

Use properties of Boolean algebra let us simplify the following Boolean expression:

$(x + y')(x' + y')'= (x + y')(x'' \cdot y'')= (x + y')(x\cdot y)\\= x\cdot x\cdot y + y'\cdot x\cdot y= x\cdot y + y'\cdot y\cdot x= x\cdot y +0\cdot x\\= x\cdot y +0=x\cdot y$