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Simplified Boolean expression for A'BC+AB'C'+A'B'C'+AB'C+ABC

A . AB

B . B'C

C . AB+(A'+AB')C

D . AB'+BC+B'C'

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6 Answers

Best answer
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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.

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2 votes
D option is correct ans

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

A'BC+B'C'(1)+AB'C+ ABC

A'BC+B'(C'+AC)+ABC

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

BC(1)+B'(C'+A)

BC+ B'C'+ B'A
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ANSWER: OPTION D
using K-map
 

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