EXAMPLE 19
Design a logic circuit and draw its
diagram for the Boolean expression:
(A+B)(C+ D)C.
SOLUTION
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Answer:
It can be simplified as
(BC+A)(A′ B ′+C ′ )+A ′B ′ C ′
B C A ′ B ′ +BCC ′ +AA ′ B ′ +AC ′ +
A ′ B ′ C ′
A ′ C B B ′+BCC ′ +AA ′ B ′ +AC ′ +
A ′ B ′ C ′
0+0+0+AC ′ +A ′ B ′ C '
=C ′ (A+A ′ B ′)
=[(A+A ' )(A+B x′ )]C ′
=(A+B ′ )C ′
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