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{{title|Boolean Algebra}} | {{title|Boolean Algebra}} | ||
− | '''Boolean algebra''' (or less commonly '''symbolic logic''') is a | + | '''Boolean algebra''' (or less commonly '''symbolic logic''') is a branch algebra that deals with only two logic values - [[0]] (corresponding to [[false]]) and [[1]] (corresponding to [[true]]). |
Today, Boolean algebra is the primary mathematical tool used in designing modern digital systems. Switching functions are described using Boolean algebra since they deal with two discrete states - ON and OFF (or 1 and 0). Those functions are in turn implemented via [[transistors]] which act as switches, a natural implementation for representing Boolean algebra operations. Once primitive Boolean operation circuits such as [[NOT]], [[AND]], and [[OR]] [[logic gates|gates]] are implemented, any conceivable system of logic can be implemented using them like Lego pieces. | Today, Boolean algebra is the primary mathematical tool used in designing modern digital systems. Switching functions are described using Boolean algebra since they deal with two discrete states - ON and OFF (or 1 and 0). Those functions are in turn implemented via [[transistors]] which act as switches, a natural implementation for representing Boolean algebra operations. Once primitive Boolean operation circuits such as [[NOT]], [[AND]], and [[OR]] [[logic gates|gates]] are implemented, any conceivable system of logic can be implemented using them like Lego pieces. | ||
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== See also == | == See also == | ||
* [[Karnaugh Map]] | * [[Karnaugh Map]] | ||
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