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# Topic: Binary operation

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 Binary operation - Wikipedia, the free encyclopedia Binary operations are the keystone of algebraic structures studied in abstract algebra: they form part of groups, monoids, semigroups, rings, and more. Many binary operations of interest in both algebra and formal logic are commutative or associative. Typical examples of binary operations are the addition (+) and multiplication (*) of numbers and matrices as well as composition of functions on a single set. en.wikipedia.org /wiki/Binary_operation   (410 words)

 Closure (mathematics) - Wikipedia, the free encyclopedia Sometimes the requirement that the operation be valued in a set is explicitly stated, in which case it is known as the axiom of closure. An operation of a different sort is that of finding the limit points of a subset of a topological space (if the space is first countable, it suffices to restrict consideration to the limits of sequences but in general one must consider at least limits of nets). In commutative algebra, closure operations for ideals, as integral closure and tight closure. en.wikipedia.org /wiki/Closure_(binary_operation)   (978 words)

 Arithmetic unit for a digital data processor - United States Patent 4,001,570 The resulting binary bit sequence appearing at the output side of the binary adder is passed to an output modifier or corrector which causes the bits in the zone and sign field positions therein to assume the proper zone and sign code values. This is because binary operations require that the incoming numerical data be converted to a packed format and then to a pure binary format before performing the arithmetic operation and that the results be converted to a packed decimal format and then to a zoned decimal format before being sent to an output device. Conversely, when a recomplement operation is being performed, the signal level on output line 46 is set to indicate a polarity value opposite to the polarity value indicated by the sign field of the number being recomplemented, such number being located in the B register 31 during the recomplement operation. xrint.com /patents/us/4001570   (18827 words)

 PlanetMath: operation Thus, operation is similar to mapping or function. Their generalization leads to the so-called binary operations, which is a basic concept for such algebraic structures as group, ring, field. This is version 3 of operation, born on 2005-01-19, modified 2005-02-28. planetmath.org /encyclopedia/Operation.html   (282 words)

 PlanetMath: binary operation A binary operation is sometimes called internal composition. Rather than using function notation, it is usual to write binary operations with an operation symbol between elements, or even with no operation at all, it being understood that juxtaposed elements are to be combined using an operation that should be clear from the context. This is version 3 of binary operation, born on 2002-11-05, modified 2006-02-01. planetmath.org /encyclopedia/BinaryOperation.html   (108 words)

 18-Wheeler Caravans (aka Semigroups) A binary operation on a set S is a function that assigns to each ordered pair of elements of S a unique element of S. We often use some special symbol (such as * or +) to represent a binary operation. However, division (the mathematical kind - not ``integer division'') is not a binary operation for the set of integers, since 1/2=0.5 which is not an integer. In the case of integers, this is evident with the binary operation we know as subtraction, since 5 - 3 is not equal to 3 - 5. acm.uva.es /p/v3/398.html   (896 words)

 Introduction Rather than invent new words for every new binary operation we tend to use "multiplication" or "addition" but realize that we may not mean our usual operation. The idea of a binary operation is just a way to produce an element of a set from a given pair of elements of the same set. In studying binary operations on sets, we tend to be interested in those operations that have certain properties and we discuss this further in the next section. www.math.csusb.edu /notes/binop/node1.html   (421 words)

 Math Forum: Ask Dr. Math FAQ: Glossary of Properties When you use an operation to combine an identity with another number, that number stays the same. An operation is commutative if you can change the order of the numbers involved without changing the result. They are not closed under the square root operation, because the square root of -1 is not a real number. mathforum.org /dr.math/faq/faq.property.glossary.html   (836 words)

 [No title] Binary operations When we were asked to add 2 to 5 or multiply 2 to 5 in school, it was expected that we all said that the answers are 7 and 10 respectively. Example (is not a binary operation on R as it is not defined for all pairs of real numbers. Example - is not a binary operation on N as it is not closed on N. For example, (1, 2) (N (N but 1 - 2 = -1 is not a natural number. www.massey.ac.nz /~a160212/notes/II/160.212.II.1.doc   (1770 words)

 Binary XOR Operation The binary XOR operation (also known as the binary XOR function) will always produce a 1 output if either of its inputs is 1 and will produce a 0 output if both of its inputs are 0 or 1. In XCSB the binary XOR operator works in the same way, operating in parallel on sets of inputs and outputs within a variable or constant. If we assign the value 0x24 to the variable J, which is the hexadecimal equivalent of the binary value 00100100, the value 0x21 to the variable K which is the hexadecimal equivalent of the binary value 00100001 and then perform the XCSB XOR operation on J and K and assign the result to M. www.xcprod.com /titan/XCSB-DOC/binary_xor.html   (315 words)

 FIPS 81 - Des Modes of Operation Binary data may be cryptographically protected (encrypted) using devices implementing the algorithm specified in the Data Encryption Standard (DES) (FIPS PUB 46) in conjunction with a cryptographic key. For each operation of the DES device one K-bit unit of plain text produces one K-bit unit of cipher text or one K-bit unit of cipher text produces one K-bit unit of plain text. A stream method is based on generating a pseudo-random binary stream of bits, and then using the exclusive-OR binary operation to combine this pseudo-random sequence with the plain text to produce the cipher text. www.itl.nist.gov /fipspubs/fip81.htm   (6653 words)

 Binary Operations It is the operation that is "binary" and it is the operation that must be associative. A binary operation is a function from SxS to S. The domain of the function is SxS. Among the axioms for a group is that it is closed under the binary operation, i.e. www.physicsforums.com /showthread.php?t=5708   (1178 words)

 Binary AND Operation The binary AND operation (also known as the binary AND function) will always produce a 1 output if both of its inputs are 1 and will produce a 0 output if one or both of its inputs are 0. In XCSB the binary AND operator works in the same way, operating in parallel on sets of inputs and outputs within a variable or constant. If we assign the value 0x24 to the variable J, which is the hexadecimal equivalent of the binary value 00100100, the value 0x21 to the variable K which is the hexadecimal equivalent of the binary value 00100001 and then perform the XCSB AND operation on J and K and assign the result to M. www.xcprod.com /titan/XCSB-DOC/binary_and.html   (313 words)

 Operations from Another World A binary operation is simply a rule for combining two objects of a given type, to obtain another object of that type. The concept of a binary operation is a very general one, and need not be restricted to sets of numbers. An additional property that a binary operation may or may not have is the existence of an identity element. www.jcu.edu /math/vignettes/operations.htm   (1049 words)

 Binary Operation A binary operation is an operation that takes two operands and returns one product. Binary operations take two numbers and manipulate them according to a set of rules. The inputs to a binary XOR operation can only be 0 or 1 and the result can only be 0 or 1.. www.binaryoperation.info   (321 words)

 Definition of a group together with a binary operation which satisfies condition (1) of Definition 2.1.2 is called a semi-group. with respect to this binary operation is a group. ; that this is, indeed, a binary operation follows as a special case of exercise 7 in the exercises for Section 1.1. web.usna.navy.mil /~wdj/tonybook/gpthry/node8.html   (826 words)

 http://www Def:  A set A along with at least one binary operation written (A,*) where * is the binary operation is called an Algebraic Structure. For the set of integers, define the operation * as follows:  a*b = a + b – ab where and b are any integers and + and -  are the usual addition and subtraction and ab is the usual product of integers. For the set of rational numbers, we define two binary operations \$ and # (in terms of ordinary arithmetic operations) as follows: a \$ b = 2ab and a#b = a + 2b for any two rational numbers a and b. www.math.jmu.edu /~carother/middle/math304notes.htm   (2274 words)

 [No title] However, division (the mathematical kind - not “integer division”) is not a binary operation for the set of integers, since 1 (2 = 0.5 which is not an integer. The use of the word “ordered” in the definition for binary operations is important, for it allows the possibility that the element assigned to a # b may be different from the one assigned to b # a. In the case of integers, this is evident with the binary operation we know as subtraction, since 5  3 is not equal to 3 - 5. www.acmgnyr.org /year1999/problems/problemf.doc   (1189 words)

 A BINARY OPERATION ON THE POSITIVE INTEGERS   (Site not responding. Last check: 2007-10-22) If you are not familiar with the terms identity, commutatuve, associative and inverse then you should read the relevant sections in these notes before proceding. The operation is not commutative since for example 2*3=8 whereas 3*2=9. Similarly, the operation is not associative since 2*(2*3) = 2*8 = 256 and (2*2)*3 = 4*3 = 64. www.math.csusb.edu /notes/binop/opex1/opex1.html   (197 words)

 BinaryOperation -- the class of all binary operation expressions   (Site not responding. Last check: 2007-10-22) -- a type of Expression representing the result of a binary operation. Each object of class BinaryOperation is called a binary operation expression. Each binary operation expression is also a member of class Expression. www.math.temple.edu /computing/Macaulay2/0170.html   (59 words)

 Binary_operation In mathematics, a binary operation is a calculation involving two input quantities. system, include, well, single, External, generally, computer, operator, studied, arguments Here, navigation, field, logic, formal, such, This, Binary, action, probably www.brainyencyclopedia.com /encyclopedia/b/bi/binary_operation.html   (452 words)

 Add Condition   (Site not responding. Last check: 2007-10-22) In these folder tabs, you can choose or enter the values for the binary operation. These show the upper and lower limits of the binary operation. It is not reccomended to choose a binary operation other than the equal operation. www.westol.com /~mayday/Eweb/Help/DIALOG/ADDCONDITION.HTM   (421 words)

 Tractable Constraints Closed Under A Binary Operation - Bulatov, Jeavons (ResearchIndex) Tractable Constraints Closed Under A Binary Operation - Bulatov, Jeavons (ResearchIndex) Tractable Constraints Closed Under A Binary Operation (2000) Bulatov A., Jeavons P., Tractable constraints closed under a binary operation, Technical report PRG-TR-12-00, Oxford University, 2000. citeseer.ist.psu.edu /478642.html   (643 words)

 About a binary operation   (Site not responding. Last check: 2007-10-22) What can you say about a binary operation? The universals let you not to say other than these about a binary operation through your too many different expressions. Therefore, what you can say about a being is predictable from the universals from which every particular about every being is derived. www.redrival.com /pen/001/005.html   (59 words)

 Log base 2 binary operation help!!!! - dBforums If you would prefer not to see any double-underlined words and corresponding advertisements, please click here. Consider that in binary, a number is represented as set of powers of two Consider also that the base two logarithm of a number is www.dbforums.com /t703247.html   (279 words)

 VisAD: Class RemoteDataImpl Pointwise binary operation between this (AdaptedData) and data. MathTypes of this and data must match, or one may match the range of the other if it is a FunctionType. result of operation, which takes the MathType of this unless the default Units of that MathType conflict with Units of the result, in which case a generic MathType with appropriate Units is constructed www.ssec.wisc.edu /~dglo/docs/visad/RemoteDataImpl.html   (3035 words)

 BinaryOperation -- the class of all binary operation expressions   (Site not responding. Last check: 2007-10-22) The header type BinaryOperation is a member of the class HeaderType. More general types (whose methods may also apply) : BasicList -- the class of all basic lists www.math.uiuc.edu /Macaulay2/Manual/0145.html   (87 words)

 CodeGuru Forums - XOR_PEN binary raster operation   (Site not responding. Last check: 2007-10-22) CodeGuru Forums > Visual C++ & C++ Programming > Visual C++ Programming > XOR_PEN binary raster operation View Full Version : XOR_PEN binary raster operation 02-08-2000, 11:16 PM how do u use XOR_PEN binary raster operation? www.codeguru.com /forum/archive/index.php/t-80214.html   (95 words)

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