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प्रश्न
Using the rules in logic, write the negation of the following:
(∼p ∧ q) ∨ (p ∧ ∼q)
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उत्तर
The negation of (∼p ∧ q) ∨ (p ∧ ∼q) is
∼ [(∼p ∧ q) ∨ (p ∧ ∼q)]
≡ ∼ (p ∧ q) ∧ ∼(p ∧ ∼q) ....(Negation of disjunction)
≡ [∼ (∼p) ∨ ∼q] ∧ [∼p ∨ ∼(∼q)] ........(Negation of conjunction)
≡ (p ∨ ∼q) ∧ (∼p ∨ q) .......(Negation of negation)
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