Question

Simplification of the Boolean expression AB + A(BC)'yields which of following results?
Select one:
Оа. А
O b. B
O C. AB
O d. BC
​

Answer 1

Given:

AB + A(BC)'

To Find:

The simplification of the given Boolean Expression

Explanation:

=AB + A(BC)'

First take A common

=A (B+(BC)')  

By demorgan's property we know that, (BC)'= B'+C', Using it we have

=A (B+B'+C')

Now from complement property, anything added to its complement equals 1

=A(1+C')

Next, anything added to 1 is always 1

=A(1)

Finally, anything multiplied to 1 is the original entity itself.

=A

Answer- Option A