Question

The complement of the Boolean expression a • b' + a' + a' • b is ______.

Options

• a + b' • a • a' + b

• (a' + b) • a • (a + b')

• (a + b') • a' • (a + b')

• a' • b + a + a • b

Answer 1

The complement of the Boolean expression a • b' + a' + a' • b is (a' + b) • a • (a + b').

Explanation:

According to De Morgan's Law, the complement is found by changing each variable to its opposite, changing every + to •, and every • to +.

In the given expression, the three main terms are joined by +. Applying the law turns them into a product of complemented terms: (a' + b), a, and (a + b'), which matches option (a' + b) • a • (a + b').