Question 16122 – Subnetting
May 22, 2024Question 8451 – Engineering-Mathematics
May 22, 2024Question 1617 – ISRO CS 2015
The complement of the Boolean expression AB ( B’C + AC ) is
Correct Answer: A
Question 5 Explanation:
→ Finding complement boolean expression, we require Demorgan’s law.
→ DeMorgan’s law and after complementing:
⇒ ( AB ( B’C + AC ))’
⇒ (A + B)’ + (B’C + AC)’
⇒ (A’ + B’) + ( B’C)’ (AC)’
⇒ (A’ + B’) + ( B + C’)(A’ + C’)
→ DeMorgan’s law and after complementing:
⇒ ( AB ( B’C + AC ))’
⇒ (A + B)’ + (B’C + AC)’
⇒ (A’ + B’) + ( B’C)’ (AC)’
⇒ (A’ + B’) + ( B + C’)(A’ + C’)
( A’ + B’ ) + ( B + C’ )( A’ + C’ )
( A’ + B’ ) + ( BC’ + A’C’ )
( A’ + B’ )( B + C’) + ( A + C’ )
( A + B )( B’ + C )( A + C )
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