Question

Use the laws of Boolean algebra to show that the two Boolean expressions below are equivalent. Label each step with the law used to reach it. (Note you are proving the Absorption Law, so don't use that law in your answer!) x + xy = x

Answer 1

To prove the equivalence of the two Boolean expressions x + xy = x, we can simplify both sides using the laws of Boolean algebra.

Step-by-step explanation:

To prove the equivalence of the two Boolean expressions x + xy = x, we can simplify both sides using the laws of Boolean algebra. Let's go step by step:

1. Distribute x: x(1+y) = x
2. Apply the identity law: x(1) = x
3. Apply the identity law again: x = x

At each step, we used the distributive law and the identity law to simplify the expression. Therefore, we have shown that x + xy is equivalent to x.