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Boolean Algebra Laws

10

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Commutative Law of AND

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A ullet B = B ullet A

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Associative Law of OR

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(A+B)+C=A+(B+C)(A + B) + C = A + (B + C)

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Identity Law of AND

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A ullet 1 = A

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Annihilator Law of AND

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A ullet 0 = 0

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Commutative Law of OR

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A+B=B+AA + B = B + A

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Associative Law of AND

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(A ullet B) ullet C = A ullet (B ullet C)

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Annihilator Law of OR

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A+1=1A + 1 = 1

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Identity Law of OR

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A+0=AA + 0 = A

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Negation Law

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A + ar{A} = 1 and A ullet ar{A} = 0

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Distributive Law

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A ullet (B+C) = (A ullet B) + (A ullet C)

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