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There are two Demorgan's law. 1). Sum of complements is equal to complement of product. ͞A + ͞B + ͞C =( A.B.C) whole bar 2). Product of complement is equal to complement of sum. ͞A.͞B.͞C = (A+B+C) whole bar

The complement of the union of two sets is the intersection of their complements and the complement of the intersection of two sets is the union of their complements.These are called De Morgan’s laws.

Examples on De Morgans law :

1) Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Show that (A ∪B) ' = A ' ∩ B ' .

De morgan's law are a pair of transformation rulesthat are both valid rules of inference.the rules allow the expression of conjuctions and disjunctions purely in terms of each other via negation. the negation of a conjuction is the disjunction of the negations. the negation of a disjunction is the conjuction of the negations.