Mathematical Logic And Boolean Algebra Question 53
Question: Identify the false statements
Options:
A) $ \tilde{\ }[p\vee (\tilde{\ }q)]\equiv (\tilde{\ }p)\vee q $
B) $ [p\vee q]\vee (\tilde{\ }p) $ is a tautology
C) $ [p\wedge q)\wedge (\tilde{\ }p) $ is a contradiction
D) $ \tilde{\ }[p\vee q]\equiv (\tilde{\ }p)\vee (\tilde{\ }q) $
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Answer:
Correct Answer: D
Solution:
[d] since $ \tilde{\ }(p\vee q)\equiv \tilde{\ }p\wedge \tilde{\ }q $ (By De-Morgan?s? law)
$ \therefore \tilde{\ }(p\vee q)\ne ,\tilde{\ }p\vee \tilde{\ }q $
$ \therefore $ [d] is the false statement
BETA
