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Simplifying Logic


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AS A2

Techniques

If you have a good understanding of the logic gate rules, it is possible to work out a simpler solution just by examining the truth table and thinking hard. But this is a rather hit and miss approach and Karnaugh maps and Boolean algebra can be faster and more reliable methods but neither is easy.

Boolean algebra can be used to simplify expressions/circuits to generate a more optimal solution.

Logic Operations

Gate-Not-Same.gif

De Morgan

Gate-Same-1.gif

Gate-Same-2.gif

De Morgan

Gate Behaviour

Commutative

Associative

Distributive

Identity

Redundancy

In all these expressions, one of the items has no effect and can be removed.

 

 

 

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