Boole, George - Research Article from Macmillan Science Library: Mathematics

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Boolean Algebra

Boolean algebra is a branch of mathematics in which statements, ideas, numbers, and so forth are denoted by symbols (e.g., x, y, z) and can be acted upon by operators (e.g., AND or OR). The operator AND between two symbols (x AND y) is known as the union of x and y and refers to objects both in x and y. The operator OR represents the intersection of x and y (x OR y) and consists of objects either in x, in y, or in both x and y.

As an example of applying Boolean algebra in computers, let x and y denote two electronic circuits that are either closed (electricity flows) or open (electricity does not flow). The statement x AND y is represented by connecting the switches in series. (See series diagram.) The current will flow only if both x and y...

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This section contains 732 words
(approx. 3 pages at 300 words per page)
Buy the Boole, George Encyclopedia Article
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Macmillan Science Library: Mathematics
Boole, George from Macmillan Science Library: Mathematics. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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