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The Five Laws of Boolean Algebra

Commutative Law
(a) A + B = B + A
(b) A B = B A

Associative Law
(a) (A + B) + C = A + (B + C)
(b) (A B) C = A (B C)

Distributive Law
(a) A (B + C) = A B + A C
(b) A + (B C) = (A + B) (A + C)

Identity Law
(a) A + A = A
(b) A A = A

RedundanceLaw
(a) A + A B = A
(b) A (A + B) = A

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The five laws of boolean algebra

  • 1. The Five Laws of Boolean Algebra Commutative Law (a) A + B = B + A (b) A B = B A Associative Law (a) (A + B) + C = A + (B + C) (b) (A B) C = A (B C) Distributive Law (a) A (B + C) = A B + A C (b) A + (B C) = (A + B) (A + C) Identity Law (a) A + A = A (b) A A = A RedundanceLaw (a) A + A B = A (b) A (A + B) = A