Question

Prove that
ABC' + ABC+ A'B'C+ AB'C + A'BC = AB+C
by Boolean algebra​

Answer 1

Answer:A' BC + AB'C' + A'B'C' + AB'C + ABC

=A' BC + AB'C' +  AB'C' + A'B'C' + AB'C + ABC                      (AB'C' =  AB'C '+ AB'C ')  

=A' BC + ABC +  A'B'C' +  AB'C' + AB'C' + AB'C

=BC ( A' + A ) + B'C' ( A' + A ) + AB'( C' + C )

=BC + B'C' + AB'

Hence,Option(D) AB' + BC + B'C' is the correct choice.

Explanation: