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Boolean algebra

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.04 sec.
Boolean algebra
n.
An algebra in which elements have one of two values and the algebraic operations defined on the set are logical OR, a type of addition, and logical AND, a type of multiplication.

Boolean algebra [boo-lee-an]
Noun
a system of symbolic logic devised to codify nonmathematical logical operations: used in computers [after George Boole, mathematician]

Boolean algebra  (bl-n)
A form of symbolic logic, in which variables, which stand for propositions, have only the values "true" (or "1") and "false" (or "0"). Relationships between these values are expressed by the Boolean operators AND, OR, and NOT. For example, "a + b" means "a OR b", and its value is true as long as either a is true or b is true (or both). Boolean logic can be used to solve logical problems, and provides the mathematical tools fundamental to the design of digital computers. It is named after the mathematician George Boole. Also called Boolean logic. See also logic gate.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.Boolean algebra - a system of symbolic logic devised by George Boole; used in computers
formal logic, mathematical logic, symbolic logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity


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Chapters cover common number systems and conversions, binary codes, fundamentals of boolean algebra, combinational logic circuits, sequential logic circuits, introduction to ABEL hardware description language, VHDL, Verilog, and Boundary-Scan Architecture, and much more.
Boolean algebra enabled mathematicians to perform mathematical functions on groups of "classes" of objects.
As a benchmark test of his system, McCune turned to the Robbins conjecture, which states that a set of three equations in logic is equivalent to a Boolean algebra (see box).
 
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