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Boolean Algebra:     more books (100)

Boolean Algebras in Analysis (Mathematics and Its Applications) by D.A. Vladimirov, 2010-11-02 Categories of Boolean Sheaves of Simple Algebra (Lecture Notes in Math, Vol 1187) by Yves Diers, 1986-09 Digital Circuits: Numbering Systems, Binary Codes, Logic Gates, Boolean Algebra (Engineer's Tutor Series) by Amalou Abdelilah, 1989-08 Introduction to Boolean Algebra for Computer Scientists and Engineers by Ralph Artino, 1991-04 Boolean Algebra by Brice Ward, 1971-01-01 Canonical Form (Boolean algebra) Boolean Algebra (Student Library) by Henry Graham Flegg, 1972-09-22 Countable Boolean Algebras and Decidability (Siberian School of Algebra and Logic) by Sergei S. Goncharov, 1997-01-31 Boolean Algebras. Third Edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge. Band 25 by Roman Sikorski, 1969-06 Thinking Machines: A Layman's Introduction to Logic, Boolean Algebra, and Computers. by Irving. Adler, 1974-06 Logic and Boolean algebra by Bradford Henry Arnold, 1964 Introduction to Boolean-Algebras by Philip Dwinger, 1971-01-01 Boolean Functions and Computation Models by Peter Clote, Evangelos Kranakis, 2002-11-11 Axioms For Lattices And Boolean Algebras by R. Padmanabhan, S. Rudeanu, 2008-08-11

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41. What's So Logical About Boolean Algebra?
    What s so logical about boolean algebra? George Boole believed in what he called the ‘process of analysis’, that is, the process  
    http://www.home.gil.com.au/~bredshaw/boolean.htm
    
    Extractions: George Boole believed in what he called the ‘process of analysis’, that is, the process by which combinations of interpretable symbols are obtained. It is the use of these symbols according to well-determined methods of combination that he believed presented ‘true calculus’. Today, all our computers employ Boole's logic system - using microchips that contain thousands of tiny electronic switches arranged into logical ‘gates’ that produce predictable and reliable conclusions. The basic logic gates comprise of AND OR and NOT . It is these gates, used in differing combinations, that allow the computer to execute its operations using binary language. Each gate assesses various information (consisting of high or low voltages) in accordance with predetermined rules, and produces a single high or low voltage logical conclusion. The voltage itself represents the binary yes-no, true-false, zero-one concept. AND gates will only yield a TRUE result (that is, a binary 1) if all input is TRUE. Therefore, the top two gates will produce a FALSE (binary 0) result.

42. Boolean Algebra
    boolean algebra. boolean algebra digital computers.). There are four arithmetic operators in boolean algebra NOT, AND, OR, and EXCLUSIVE OR.  
    http://www.eskimo.com/~scs/cclass/mathintro/sx4.html
    
    Extractions: Boolean algebra is a system of algebra (named after the mathematician who studied it, George Boole) based on only two numbers, and 1, commonly thought of as ``false'' and ``true.'' Binary numbers and Boolean algebra are natural to use with modern digital computers, which deal with switches and electrical currents which are either on or off. (In fact, binary numbers and Boolean algebra aren't just natural to use with modern digital computers, they are the fundamental basis of modern digital computers.) There are four arithmetic operators in Boolean algebra: NOT, AND, OR, and EXCLUSIVE OR. NOT takes one operand (that is, applies to a single value) and negates it: NOT is 1, and NOT 1 is 0. AND takes two operands, and yields a true value if both of its operands are true: 1 AND 1 is 1, but AND 1 is 0, and AND is 0. OR takes two operands, and yields a true value if either of its operands (or both) are true: OR is 0, but OR 1 is 1, and 1 OR 1 is 1. EXCLUSIVE OR, or XOR, takes two operands, and yields a true value if one of its operands, but not both, is true: XOR is 0, XOR 1 is 1, and 1 XOR 1 is 0.

43. Boolean Algebra - Eduseek
    Subjects Mathematics Maths 16+ Discrete Mathematics boolean algebra, Introduction to boolean algebra - A short introduction to boolean algebra.  
    http://www.eduseek.com/navigate.php?ID=8116

44. Boolean Algebra Definition Of Boolean Algebra In Computing. What Is Boolean Alge
    Computer term of boolean algebra in the Computing Dictionary and Thesaurus. Boolean encyclopedia. Provides search by definition of boolean algebra.  
    http://computing-dictionary.thefreedictionary.com/Boolean algebra
    
    Extractions: Boole's work which inspired the mathematical definition concerned algebras of set s, involving the operations of intersection, union and complement on sets. Such algebras obey the following identities where the operators ^, V, - and constants 1 and can be thought of either as set intersection, union, complement, universal, empty; or as two-valued logic AND, OR, NOT, TRUE, FALSE; or any other conforming system. a ^ b = b ^ a a V b = b V a (commutative laws) (a ^ b) ^ c = a ^ (b ^ c) (a V b) V c = a V (b V c) (associative laws) a ^ (b V c) = (a ^ b) V (a ^ c) a V (b ^ c) = (a V b) ^ (a V c) (distributive laws) a ^ a = a a V a = a (idempotence laws) a = a -(a ^ b) = (-a) V (-b) -(a V b) = (-a) ^ (-b) (de Morgan's laws) a ^ -a = a V -a = 1 a ^ 1 = a a V = a a ^ = a V 1 = 1 -1 = -0 = 1

45. Boolean Algebra
    boolean algebra. 2. Interchanging the 0 and 1 elements of the expression. 3. Not changing the form of the variables. Table 2.2 Theorems of boolean algebra  
    http://www.ied.edu.hk/has/phys/de/de-ba.htm
    
    Extractions: In working with logic relations in digital form, we need a set of rules for symbolic manipulation which will enable us to simplify complex expressions and solve for unknowns. Originally, Boolean algebra which was formulated by George Boole , an English mathematician (1815-1864) described propositions whose outcome would be either true or false . In computer work it is used in addition to describe circuits whose state can be either 1 (true) or (false) .Using the relations defined in the AND, OR and NOT operation, a number of postulates are stated in Table 2.1 [Ref.3] Table 2.1 Boolean Postulates Table 2.2 provides the basic Boolean theorems. Each theorem is described by two parts that are duals of each other. 1. Interchanging the OR and AND operations of the expression.

46. Laws Of Boolean Algebra - Computer Fundamentals - Free Computer Science Tutorial
    Laws of boolean algebra. boolean algebra The most obvious way to simplify Boolean expressions is to manipulate them in the same way  
    http://www.laynetworks.com/Boolean Algebra.htm

47. Wiley::Ones And Zeros: Understanding Boolean Algebra, Digital Circuits, And The
    Circuit Theory Design General Circuit Theory Design Ones and Zeros Understanding boolean algebra, Digital Circuits, and the Logic of Sets.  
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0780334264.html

48. Boolean Algebra
    next up previous contents index ENGN2211 Home. boolean algebra. boolean algebra is the underlying mathematics of digital or logical circuits.  
    http://engnet.anu.edu.au/DEcourses/engn2211/notes/diglognode1.html

49. MSN Encarta - Boolean Algebra
    boolean algebra. boolean algebra, branch of mathematics having laws and properties similar to, but different from, those of ordinary high school algebra.  
    http://encarta.msn.com/encyclopedia_761558504/Boolean_Algebra.html
    
    Extractions: Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Boolean Algebra Boolean Algebra , branch of mathematics having laws and properties similar to, but different from, those of ordinary high school algebra. Formally a... Related Items see also Logic diagrams and illustrations 10 items Further Reading These sources provide additional information about: Boolean Algebra Want more Encarta? Become a subscriber today and gain access to: Find more about Boolean Algebra from Related Items Other Features from Encarta Logic Digital Circuits and Boolean Truth Tables Digital Logic and NOR Gate Circuitry Central Processing Unit ... Peirce, Charles Sanders

50. Boolean Algebra Definition Meaning Information Explanation
    boolean algebra definition, meaning and explanation and more about boolean algebra. FreeDefinition - Online Glossary and Encyclopedia, boolean algebra.  
    http://www.free-definition.com/Boolean-algebra.html
    
    Extractions: Google News about your search term In mathematics and computer science Boolean algebras , or Boolean lattices , are algebraic structure s which "capture the essence" of the logic al operations AND OR and NOT as well as the set theoretic operations union intersection and complement They are named after George Boole , an Englishman, who first defined them as part of a system of logic in the mid 19th century . Specifically, Boolean algebra was an attempt to use algebraic techniques to deal with expressions in the propositional calculus . Today, Boolean algebras find many applications in electronic design. They were first applied to switching by Claude Shannon in the 20th century The operators of Boolean algebra may be represented in various ways. Often they are simply written as AND, OR and NOT. In describing circuits, NAND (NOT AND), NOR (NOT OR) and XOR (exclusive OR) may also be used. Mathematicians often use + for OR and . for AND (since in some ways those operations are analogous to addition and multiplication in other algebraic structure s) and represent NOT by a line drawn above the expression being negated.

51. [C++] Boolean Algebra - C / C++ Tutorials At DaniWeb TechTalk Computer Support
    C++ boolean algebra. Reply. Hence, a very important programming concept is that of boolean algebra. A boolean expression is a true or false statement.  
    http://www.daniweb.com/techtalkforums/thread1733.html
    
    Extractions: Welcome to DaniWeb TechTalk computer support! DaniWeb computer forums is where cool techies unite. Get tech support programming web development , or website promotion and seo support and be part of our growing community. Or just come and chat with other techies like yourself; both newbies and gurus are welcome. You may have to register before you can post. If you are a registered member but you have forgotten your username or password, click here

52. Boolean Algebra
    boolean algebra. Leibniz initiated the search for a system of symbols with rules of their combination in his De Arte Combinatoria  
    http://vmoc.museophile.com/algebra/section3_4.html
    
    Extractions: Previous: Algebra and Analytical Engines Leibniz initiated the search for a system of symbols with rules of their combination in his De Arte Combinatoria of 1666, as well as developing the binary notation. In 1854, George Boole Professor of Mathematics at Cork from 1849 despite having no first degree, formalised a set of such rules in the seminal work entitled, perhaps optimistically, An Investigation of the Laws of Thought . Boole's aim was to identify the rules of reasoning in a rigorous framework and revolutionised formal logic after thousands of years of little progress. They transformed logic from a philosophical into a mathematical discipline. These rules have subsequently become known as Boolean algebra and the design of all modern binary digital computers has depended on the results of this work. These logical operations, normally implemented as electronic gates , are all that are required to perform more complicated operations such as arithmetic.

53. Boolean Algebra
    NebulaSearch Home NebulaSearch Encyclopedia Top boolean algebra. Main boolean algebra, NebulaSearch article for boolean algebra. Explain  
    http://www.nebulasearch.com/encyclopedia/article/Boolean_algebra.html
    
    Extractions: Well, Boole himself probably wouldn't understand the article about Boolean algebra in its present form. And it omits all sorts of totally essential information to understanding what Boolean algebra is. Have a look at [http://www.encyclopedia.com/articles/01674.html this], and compare the article in its present form. I can have read Boole's formulation of Boolean algebra and understand it, without understanding our present BooleanAlgebra article. I think there's something wrong with that, particularly in an encyclopedia that attempts to explain concepts. This is, as always, MHO!

54. Boolean Algebra And  Logic Circuits
    boolean algebra and Logic Circuits. MAY29-1998. Symbolic Logic. Precedence. Function Definitions. Truth Tables. Boolean Switching Algebras. Axioms. Closure. Identity.  
    http://www.asic-world.com/digital/boolean.html

55. Online Encyclopedia - Boolean Algebra
    Encyclopedia Entry for boolean algebra. Dictionary Definition of boolean algebra. The operators of boolean algebra may be represented in various ways.  
    http://www.yourencyclopedia.net/Boolean_algebra.html
    
    Extractions: In mathematics and computer science Boolean algebras , or Boolean lattices , are algebraic structures which "capture the essence" of the logical operations AND OR and NOT as well as the set theoretic operations union intersection and complement They are named after George Boole , an Englishman, who invented them as part of a system of logic in the mid 19th century . Specifically, Boolean algebra was an attempt to use algebraic techniques to deal with expressions in the propositional calculus Today, Boolean algebras find many applications in electronic design. They were first defined by George Boole in the middle of the 19th century and first applied to switching by Claude Shannon in the 20th century The operators of Boolean algebra may be represented in various ways. Often they are simply written as AND, OR and NOT. In describing circuits, NAND (NOT AND), NOR (NOT OR) and XOR (exclusive OR) may also be used. Mathematicians often use + for OR and . for AND (since in some ways those operations are analogous to addition and multiplication in other algebraic structures ) and represent NOT by a line drawn above the expression being negated.

56. Boolean Algebra
    boolean algebra. Sometimes the rules of boolean algebra can also be used to simplify considerably the logic of a complicated sequence of tests.  
    http://rkb.home.cern.ch/rkb/AN16pp/node21.html

57. Boolean Algebra --  Encyclopædia Britannica
    boolean algebra Encyclopædia Britannica Article. Today, boolean algebra is of significance to the theory of probability, geometry of sets, and….  
    http://www.britannica.com/eb/article?eu=82825&tocid=0&query=algebra

58. Boolean Algebra --  Britannica Concise Encyclopedia Online Article
    boolean algebra Britannica Concise. MLA style boolean algebra. Britannica Concise Encyclopedia. 2004. Encyclopædia Britannica Premium Service.  
    http://www.britannica.com/ebc/article?eu=383016&query=logic&ct=

59. Boolean Algebra
    Lecture 2 Review of Relevant Mathematics. boolean algebra, Lecture 2 Review of Relevant Mathematics. boolean algebra bullet, Booleans as truth values.  
    http://www.willamette.edu/~fruehr/446/lectures/review5.html
    
    Extractions: Lecture #2: Review of Relevant Mathematics Boolean algebra Booleans as truth values true, false Lecture #2: Review of Relevant Mathematics Boolean algebra Booleans as truth values Operations on boolean values there are a number of useful unary and binary operations on booleans, including and or , and not (you should be familiar with the relevant definitions) Q: how many binary boolean operations are there? Lecture #2: Review of Relevant Mathematics Boolean algebra Booleans as truth values Operations on boolean values Abstract boolean algebra we can generalize the structure of the boolean truth values and associated operations by axiomatizing some of their salient properties (associative, commutative, distributive laws, etc.): the result is an abstract algebra called a boolean algebra Lecture #2: Review of Relevant Mathematics Boolean algebra Booleans as truth values Operations on boolean values Abstract boolean algebra Sets as a boolean algebra in particular, the subsets of some base set form a boolean algebra, where various operations on sets play the role of the boolean operations

60. Boolean Algebra -- From MathWorld
    boolean algebraboolean algebra. This makes the system of truth values into what is called a boolean algebra. We’ve actually proved a theorem.  
    http://www.astro.virginia.edu/~eww6n/math/BooleanAlgebra.html
    
    Extractions: A Boolean algebra is 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 multiplication operators. Explicitly, a Boolean algebra is the partial order on subsets defined by inclusion (Skiena 1990, p. 207), i.e., the Boolean algebra b A ) of a set A is the set of subsets of A that can be obtained by means of a finite number of the set operations union OR intersection AND ), and complementation NOT ) (Comtet 1974, p. 185). A Boolean algebra also forms a lattice (Skiena 1990, p. 170), and each of the elements of b A ) is called a Boolean function . There are Boolean functions in a Boolean algebra of order n (Comtet 1974, p. 186).

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