Question

The expression A+BC is the  reduced form of ______________

(a) AB+BC

(b) (A+B)(A+C)

(c) (A+C)B

(d) (A+B)C

This question was posed to me during an interview.

This is a very interesting question from SOP & POS topic in division Boolean Algebra and Logic Circuits of Computer Fundamentals

Answer 1

The correct choice is (b) (A+B)(A+C)

Easy explanation: The second option is correct.

It can simplified as follows: (A+B)(A+C)

=AA+AC+AB+BC

=A+AC+AB+BC

=A(1+C)+AB+BC

=A+AB+BC

=A(1+B)+BC

=A+BC.