A mathematical structure that provides a formal interpretation of the logical operator denotes by the terms not, or and and. Set theory is a typical example of a Boolean algebra, as are the bit-wise operators from computer programming used in this essay.
The algebra of logic named for George Boole. Similar in form to ordinary algebra, but with classes, propositions, yes/no criteria, etc for variables rather than numeric quantities. It includes the operators AND, OR, NOT, IF, EXCEPT, THEN.
A mathematical way of representing logical expressions.
a system of formal logic used for minimising complex digital systems
a system of symbolic logic devised by George Boole; used in computers
a mathematical structure that is similar to a Boolean ring, but that is defined using the meet and join operators instead of the usual addition and
A branch of symbolic logic that is similar to algebra, but instead of dealing with numerical relationships, it deals with logical relationships. An algebra named for George Boole, a nineteenth century mathematician.
an algebra based on a certain set of arithmetic rules, used for logical computations. The number of elements in a finite Boolean a lgebra is always a power of 2. The most common Boolean algebra has only two elements, 0 and 1, and differs from ordinary algebra in that 1 + 1 = 1.
The algebra of variables that can take on only one of two values (1 or 0, HI or LO, True or False). It is used as a tool in the design and analysis of digital systems
A system of symbolic logic similar in form to algebra but dealing with logical rather than numeric relationships. It was named for its creator George Boole.
programming: A branch of mathematics that concerns itself with binary logic where every answer is either true or false. Boolean operators include "and", "or", "not" and combinations such as "and not". Computers love this stuff. You probably have encountered it when searching a database. Named for its inventor, George Boole, a nineteenth-century English mathematician.
A process of reasoning, or a deductive system of theorems using a symbolic logic, and dealing with classes, propositions, or on offcircuit elements. It employs symbols to represent operators such as and, or, not, except, if, then, etc., to permit mathematical calculation. Named after English mathematician George Boole.
form of algebra that uses logic, rather than numeric calculations. Some Boolean functions are AND, OR, and NOT.
a logical calculus named for mathematician George Boole, where alphabetic symbols are used to represent logical variable, 1 and 0 are states, and, AND, OR, and NOT are the basic logical operations. NAND and NOR can be represented by combinations of AND, OR and NOT.
A form of algebra that, like ordinary algebra, represents relationships and properties with symbols. However, Boolean algebra also has classes, propositions, on-off circuit elements, and operators (and, or, not, except, if, then). Boolean algebra is useful in defining the logic of a complex system.
Algebraic process used as a tool in the design and analysys of digital systems. In Boolean algebra only two values are possible, "0" and "1."
