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The Boolean expression ∼(p⇒(∼q)) is equivalent to :

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The Boolean expression \(∼(p⇒(∼q))\) is equivalent to :

(a) p ^ q

(b)\( q⇒∼ p\)

(c) p v q

(d)  \((∼p)⇒q\)

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Correct option is A)  p^q 

Explaination::
\(∼(p⇒(∼q))\) 

as \({p⇒q \ is \ same \ as \ ∼p v q}\) 

we get \(∼((∼p) v(∼q)) = \)  p^q

 

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