696 B
696 B
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DeMorgan's laws express some fundamental equivalences that obtain between the Boolean connectives:
First Law
The negation of a conjunction is logically equivalent to the disjunction of the negations of the original conjuncts.
\sim (P & Q) \equiv \sim P \lor \sim Q
The equivalence is demonstrated with the following truth-table
Second Law
The negation of a disjunction is equivalent to the conjunction of the negation of the original disjuncts.
\sim (P \lor Q) \equiv \sim P & \sim Q
