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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.
'''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.
==Three Basic Operators==
==Three Basic Operations==
The three basic operations of boolean algebra are AND ([[multiplication]]), OR ([[addition]]), and NOT. The tables for each function are shown below.
{| class="wikitable"
|- align="center"
! '''A''' !! '''B''' !! '''C''' !! '''D'''
|- align="center"
| 0 || 0 || 0 ||
|- align="center"
| 0 || 1 || 0
|- align="center"
| 1 || 0 || 0
|- align="center"
| 1 || 1 || 1
|}
AND (shown to the right) is the boolean equivalent of multiplication.
===test===
'''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.
'''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.