Boolean algebra simplification examples PDF

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BOOLEAN ALGEBRA SIMPLIFICATION EXAMPLES 1.

W  A  B  C  C  D  B  C  ( A  B  C)  ( A  B) Original Equation EX-NOR to Standard Boolean De-Morgan’s Law Logic Identity – Cancel Double Inversion

Expand the brackets CC = C, AA = 0 A+0 = A, and Associative Rule Distributive Rule Logic Identity A+1 = 1 Logic Identity A1 = A

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U  A  B C  A  B  C  B C  A  C

 EX-NOR to Standard Boolean Distributive Rule CC = 0 a Logic Identity A+0 = A a Logic Identity

De-Morgan’s Law Distributive Rule Distributive Rule CC = 0, AA =A Logic Identities A+0 =A Logic Identity Distributive Rule Logic Identities

Lecture Tutorials

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Z  A  (B  A)  (B  C  A  B )  A C

De-Morgan’s Law BB =B Logic Identity EX-NOR to Standard Boolean _ De-Morgan’s Law & A = A Distributive Rule Logic Identities Distributive Rule Logic Identities Distributive Rule AA =A Logic Identity

Distributive Rule Logic Identities Logic Identities Distributive Rule Logic Identities Logic Identities Absorption Rule

Lecture Tutorials

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