Question

Negation of p ∨ (q ∧~p)

Answer 1

Negotiation of the Boolean expression p ∨ (q ∧ ~ p) is equivalent to ...

1. P ∧ q
2. ~ p ∨ ~q
3. ~p ∨ q
4. ~p ∧ ~q

solution : Negotiation of p ∨ (q ∧ ~p) i

= (p ∨ q) ∧ (p ∨ ~p)

from negotiation law, p ∨ ~p = True. (T)

= (p ∨ q) ∧ T

= (p ∨ q)

now negotiation of (p ∨ q) is ~(p ∨ q)

= ~ p ∧ ~ q

Therefore the correct option is (4) ~ p ∧ ~ q

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