Simplify the Boolean expression A + B.C.

Simplify the Boolean expression A + B.C. Correct Answer (A + B).(A + C)

The answer to the above question can be verified using the following truth table. A B C A+B A+C B.C A+(B.C) (A+B).(A+C) 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 From the above table it can be verified that A + B.C = (A +B).(A+C). Thus, the second Distributive Law of Boolean Algebra is verified.

Related Questions

What is the function Y = A + B̅C in Product-of-Sums (POS) form? 
Simplify the Boolean expression (A + B)’.
Simplify the Boolean expression (A.B)’.
Simplify the Boolean expression A.(B + C).