Boolean Algebra. Laws of Boolean Algebra Commutative LawExpression Addition: A + B = B + A Multiplication: A B = B A Associative Addition: A + (B+C) =

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Presentation transcript:

Boolean Algebra

Laws of Boolean Algebra Commutative LawExpression Addition: A + B = B + A Multiplication: A B = B A Associative Addition: A + (B+C) = (A+B) + C Multiplication: A(BC) = (AB)C DistributiveA(B+C) = AB + AC (A + B)(C + D) = AC+BC+AD+BD

Rules of Boolean Algebra A + 0 = A A + 1 = 1 A + A = A A + A = 1 A · 0 = 0 A · 1 = A A · A = A A · A = 0 A = A A + AB = A A + AB = A + B (A + B)(A + C) = A + BC

Boolean Algebra Sample Problems

Boolean Simplification Rule applied

Boolean Simplification Rule applied

Boolean Simplification Rule Applied

Boolean Simplification Rule Applied

Boolean Simplification Rule Applied

Boolean Simplification Rule Applied

Boolean Simplification Rule Applied

Boolean Simplification Rule Applied

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