Question

Prove the following using truth table. A+BC=(A+B).(A+C)

Answer 1

Answer:

LHS = A + BC = A.1 + BC ,using A.1 = A

= A(1 + B) + BC ,using 1+B = 1

=A + AB +BC

=A(1 + C) +AB +BC , using 1+C = 1

=A + AC +AB +BC

=A*A + AC + AB + BC ,using A*A=A

=(A+B) (A+C) =RHS