Question

Find the complement of the following
A(B'C'+BC)

Answer 1

Answer In The Attachment...

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Answer 2

Answer:

A(B'C'+BC)

Complement the expression

= A(B'C'+BC)'  

Apply Demorgan's first law.

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

Apply Demorgan's second law

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

We can simplify the expression as below

Apply Distribution law (Multiplying out)

= A'+BB'+BC'+CB'+CC'

Apply the complement law

= A'+0+BC'+CB'+0

Apply Identity law

= A'+BC'+B'C

Explanation:

= A'+(B+C)(B'+C') is the answer. But we can simply further using boolean as indicated in the answer.