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The boolean expression (\sim(p \wedge q)) \vee q is equivalent to :
 

Option: 1

q \rightarrow(p \wedge q)


Option: 2

\mathrm{p} \rightarrow \mathrm{q}


Option: 3

\mathrm{p} \rightarrow(\mathrm{p} \rightarrow \mathrm{q})


Option: 4

\mathrm{p} \rightarrow(\mathrm{p} \vee \mathrm{q})


Answers (1)

best_answer
      Question   A C D    
p q p\wedge q \sim \left ( p\wedge q \right ) \left (\sim \left ( p\wedge q \right )\vee q \right ) q\rightarrow \left ( p\wedge q \right ) p\rightarrow q p\rightarrow \left ( p\rightarrow q \right ) p\vee q p\rightarrow \left ( p\vee q \right )
T T T F T T T T T T
T F F T T T F F T T
F T F T T F T T T T
F F F T t T T T F T

Hence the correct answer is option 4.

Posted by

vinayak

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