Mathematical Logic And Boolean Algebra Question 5
Question: The Boolean Expression $ (p\wedge \tilde{\ }q)\vee q\vee (\tilde{\ }p\wedge q) $ is equivalent to
Options:
A) $ p\wedge q $
B) $ p\vee q $
C) $ p,\vee \tilde{\ }q $
D) $ \tilde{\ }p\wedge q $
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Answer:
Correct Answer: B
Solution:
[b] $ [(p\wedge \sim q)\vee q]\vee (\sim p\wedge q) $ = $ (p\vee q)\wedge (\sim q\vee q)\vee (\sim p\wedge q) $ $ =(p\vee q)\wedge [t\vee (\sim p\wedge q)] $ $ =(p\vee q)\wedge t $ $ =p\vee q $
BETA
