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ISC Class Notes 2020 : Computer Science

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Subject :- Computer Science Class :XII Lesson No. :- 2 Topic :- Boolean Laws i) Indempotence Laws : (A + A ) = A (A.A) = A II) Elementary Laws : (A+1) = (1+A) =1 (A.1) = (1.A) =A (A+0) = (0+A) =A (A.0) = (0.A)= 0 III) Associative Laws: (A+B)+C = A + (B+C) (AB). C = A. (BC) IV) Commutative Laws : (A + B) = (B+A) (AB) = (BA) V) Distributive Laws : A + (BC) = (A+B)(A+C) A.(B+C) = AB +AC VI) Complementary Laws : (A + A ) = 1 (A . A ) = 0 VII) De Morgan s Laws/theorems : (A + B) = A . B (A.B) = A +B VIII) Involution Laws : (A ) = A IX) Absorption Laws : A + (AB) = A A . (A +B) = A

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