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| + | '''Boolean algebra''' is a division of mathematics which deals with boolean variables, which are variables which can only have two values. Typically these values are 0 and 1, especially within the fields of [[electronics]] or [[computers]], however boolean variables can be other values, such as "true" and "false". Boolean algebra was invented in the nineteenth century by an [[English]] mathematician named George Boole. |
| − | |-asdf
| + | |
| − | !AND !! OR !! Not
| + | ==Three Basic Operators== |
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| + | |
| − | |} | + | '''Boolean [[algebra]]''' is a [[mathematics|mathematical]] system which is particularly important for [[computers]]. It consists of three logical statements AND, OR, and NOT operators. Each of the three operators corresponds to an algebraic operation. AND corresponds to [[multiplication]], OR corresponds to [[division]], NOT does not really have an algebraic equivalent. It has corallary terms such as NAND (NOT AND), NOR (NOT OR), and OT. |
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| | + | [[category:mathematics]] |
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| − | {| class="wikitable" | + | {| class="wikitable" align="left" |
| | |- | | |- |
| − | ! A | + | ! A !! B !! C |
| − | ! B | |
| − | ! C | |
| | |- | | |- |
| − | | 0 || 0 || = || 0 | + | | 0 || 0 || 0 |
| | |- | | |- |
| − | | 0 || 1 || = || 0 | + | | 0 || 1 || 0 |
| | |- | | |- |
| − | | 1 || 0 || = || 0 | + | | 1 || 0 || 0 |
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| − | | 1 || 1 || = || 1 | + | | 1 || 1 || 1 |
| | |} | | |} |
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| | {| class="wikitable" | | {| class="wikitable" |
| − | |+ '''AND'''
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| | |- | | |- |
| − | ! A | + | ! A !! B !! C |
| − | ! B | |
| − | ! C | |
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| − | | 0 | + | | 0 || 0 || 0 |
| − | | 0 | |
| − | | 0 | |
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| − | | 0 | + | | 0 || 1 || 0 |
| − | | 1 | |
| − | | 0 | |
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| − | | 1 | + | | 1 || 0 || 0 |
| − | | 0 | |
| − | | 0 | |
| | |- | | |- |
| − | | 1 | + | | 1 || 1 || 1 |
| − | | 1 | |
| − | | 1 | |
| | |} | | |} |
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| − | {| class="wikitable"
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| − | |-
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| − | ! header 1
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| − | ! header 2
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| − | ! header 3
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| − | | row 1, cell 1
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| − | | row 1, cell 2
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| − | | row 1, cell 3
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| − | |-
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| − | | row 2, cell 1
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| − | | row 2, cell 2
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| − | | row 2, cell 3
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| − | |}
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| − | |}
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| | {| border="1" | | {| border="1" |