Can anyone tell me how to Express the following formula into disjunctive normal form ⌐ (p V q) ↔ (p ^ q). I have done few steps but I need your help.
2026-03-25 17:17:26.1774459046
Explain into disjunctive normal form
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A DNF is an OR of ANDS.
$\neg (p\lor q) \leftrightarrow (p\land q)$
$(\neg p\land \neg q) \leftrightarrow (p \land q)$
$((\neg p\land \neg q) \to (p \land q))\land ((p \land q) \to (\neg p\land \neg q))$
$(\neg(\neg p\land \neg q) \lor (p \land q))\land (\neg(p \land q) \lor (\neg p\land \neg q))$
$(p\lor q) \lor (p \land q)\land ((\neg p\lor \neg q) \lor (\neg p\land \neg q))$
Now, just distribute and simplify.