Boolean algebra


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Boolean algebra

n.
An algebra in which variables may have one of two values and the operations defined on them are logical OR, a type of addition, and logical AND, a type of multiplication.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Boolean algebra

(ˈbuːlɪən)
n
(Logic) a system of symbolic logic devised by George Boole to codify logical operations. It is used in computers
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

Bool′e•an al′gebra

(ˈbu li ən)
n.
a system of symbolic logic dealing with the relationship of sets: the basis of logic gates in computers.
[1885–90; after German. Boole (1815–64), English mathematician; see -an1]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

Boolean algebra

(bo͞o′lē-ən)
A mathematical system dealing with the relationship between sets, used to solve problems in logic and engineering. Variables consist of 0 and 1 and operations are expressed as AND, OR, and NOT. Boolean algebra has been important in the development of modern computers and programming.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Booleova algebrabooleovská algebra
Booleova algebra
Boolesk algebra
References in periodicals archive ?
Asymmetric theory and testing of algorithms applies Boolean algebra not matrix algebra.
On the other hand, the validity of the dynamics is secured by the laws of Boolean algebra (BA).
Boolean Model: Boolean model is based on the boolean algebra. It generally consist three modules
A major series of achievements in the evolution of algorithms came during the 1800s, the first of which was established by English mathematician George Boole, who also penned The Laws of Thought and established Boolean Algebra. In 1847, Boole unified logic with calculations and formed binary algebra, the basis of computing logic of today.
He took the Boolean algebra he learned at U-M and applied it to electrical switches.
George Boole was a legendary mathematician who was responsible for creating Boolean Algebra.
(2) A Boolean algebra is a BCK-algebra, if A x B is defined to be A [logical not]B (A does not imply B).
He assumes no prior exposure to any hardware description language, but does expect readers to have some basic knowledge of Boolean algebra and electrical engineering fundamentals such as Ohm's law.
The prehistory of cybernetics that results in the problematic history of the development of digital logic, including Boolean algebra, gates that process logic signals, switching theory, flip-flops and memory elements that store logic signals and in general the representation of binary information in physical systems.
I never regretted the extra load, because whether it was Boolean algebra or