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| | A tutorial on binary numbers |
 | | The decimal number "2" is written in binary notation as "10" (1*2^1)+(0*2^0). | | | Let D= the number we wish to convert from decimal to binary. | | | Temporary Result: 10100011 New D=0 D=0, so we are done, and the decimal number 163 is equivalent to the binary number 10100011. |
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http://www.math.grin.edu/~rebelsky/Courses/152/97F/Readings/student-binary.html#1011-q
(2115 words)
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| | About Binary - (C)1997 CompuMagic, Inc. |
| | Mastering the binary number system is the foundation to mastering all other fields of the computer. | | | They are called hexadecimal and octal, but are not at the innermost functioning of the computer, like binary is. You could say that binary is the source of all other number systems, since it is the simplest one and uses the least amount of digits. | | | Binary is the base 2 number system, decimal is the base 10 number system, hexadecimal is base 16, and Octal is base 8. |
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http://www.compumagic.com/kgcs/binary101.html
(2091 words)
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| | Binary System |
| | The Binary System of numeration is the simplest of all positional number systems. | | | The base - or the radix - of the binary system is 2, which means that only two digits- 0 and 1 - may appear in a binary representation of any number. | | | Binary representations of numbers during their counting change with the right-most digit changing the fastest. |
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http://www.cut-the-knot.org/do_you_know/BinaryHistory.shtml
(1590 words)
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| | PlanetMath: binary tree |
| | Since we know the maximum number of children a binary tree node can have, we can make some statements regarding minimum and maximum depth of a binary tree as it relates to the total number of nodes. | | | A balanced binary tree is a binary tree that is also a balanced tree. | | | This is version 4 of binary tree, born on 2002-02-25, modified 2004-05-20. |
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http://planetmath.org/encyclopedia/BinaryTree.html
(337 words)
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| | Representation of numbers |
| | Each digit in a binary number is called a bit. | | | Signed binary fractions are easily extended to include all numbers by representing the number to the left of the decimal point as a 2's complement integer, and the number to the right of the decimal point as a positive fraction. | | | Convert 1010 0111 1011 from binary to hexadecimal |
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http://www.swarthmore.edu/NatSci/echeeve1/Ref/BinaryMath/NumSys.html
(2515 words)
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| | Binary keypad, binary calculator functions, hexidecimal, octal, binary or binary decimal. |
| | Throughout this web page and the RPN Engineering Calculator Help file, for the sake of clarity, Binary will indicate any Binary number, be it binary (base 2), hexadecimal, octal, or Binary decimal, and lower case binary will refer to the base 2 Binary number. | | | Or, convert the Binary number in the x-register to a real integer. | | | Binary keypad, binary calculator functions, hexidecimal, octal, binary or binary decimal. |
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http://www.j-a-associates.com/binkp.htm
(857 words)
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| | Graphics Definitions |
| | The binary system is based on only 2 numbers, 0 and 1, unlike our decimal system which is based on numbers from 0 through 9. | | | This is because in the binary system you add another number place every time you reach another power of two (2,4,8,etc) and in the decimal you add another place every time you reach a power of 10 (10,100,1000). | | | Now you make the binary number 10, which is equivalent to the decimal 2. |
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http://www.bergen.org/AAST/ComputerAnimation/Graph_BinarySystem.html
(316 words)
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| | Buzzword Definition - Binary |
| | Binary means "two," or "base two." The binary system is a way of counting using just the two numbers 0 and 1. | | | "The decimal number 186 is the binary number 10111010." | | | All data in the computer is stored in binary code as 1's and 0's (bits). |
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http://www.tekmom.com/buzzwords/zdbinary.html
(64 words)
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| | binary - Wiktionary |
| | (mathematics, computing) The binary number system, which uses only the digits 0 and 1. | | | (arithmetic, computing) Concerning numbers and mathematical calculations using the binary number system. | | | Binary states are often abstracted as 1 and 0 in computer science. |
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http://en.wiktionary.org/wiki/Binary
(194 words)
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| | What's Special About This Number? |
| | is the number of binary rooted trees with 13 vertices. | | | is the number of binary rooted trees with 14 vertices. | | | is the number of legal pawn moves in chess. |
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http://www.stetson.edu/~efriedma/numbers.html
(7399 words)
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| | Binary Code |
| | Actually, this is the number 16 in ASCII in binary, a rather unusual representation (sufficiently unusual that it should be noted). | | | 3136 is actually the binary coded decimal number or BCD. | | | It could be binary match triggers for a logic analyzer, where * is a "don't care" condition. |
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http://www.control.com/1014156798/index_html
(860 words)
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| | Converting binary and hexadecimal values |
| | You cannot have a number represented as 22 in Binary notation. | | | The decimal number 22 is represented in binary as 00010110 which by following the below chart breaks down to: | | | Base 2 is also known as binary since there can only be two values for a specific digit; either a 0 = OFF or a 1 = ON. |
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http://www.computerhope.com/binhex.htm
(309 words)
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| | What is binary? - A Word Definition From the Webopedia Computer Dictionary |
| | This is Chapter 1 of Randall Hyde's book, "Art of Assembly Language." It describes the binary and hexadecimal numbering systems, binary data organization (bits, nibbles, bytes, words, and double words), signed and unsigned numbering systems, arithmetic, logical, shift, and rotate operations on binary values, bit fields and packed data, and the ASCII character set. | | | Because computers use the binary number system, powers of 2 play an important role. | | | Computers are based on the binary numbering system, which consists of just two unique numbers, 0 and 1. |
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http://www.webopedia.com/TERM/B/binary.html
(441 words)
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| | MSN Encarta - Dictionary - binary definition |
| | mathematics binary digit: a binary number or digit | | | mathematics binary number system: a number system that has 2, not 10, as its base | | | Search for "binary" in all of MSN Encarta |
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http://encarta.msn.com/encnet/features/dictionary/DictionaryResults.aspx?refid=1861590545
(165 words)
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| | Saugus.net: binary |
| | This is important to computers because all computer data is ultimately a series of zeros and ones, and thus can be represented by binary numbers. | | | Pure binary data is typically eight bit data, and transferring a binary file through ASCII channels without prior modification will result in corruption and loss of data. | | | There are two meanings for binary in common computer usage. |
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http://www.saugus.net/Computer/Terms/binary/view
(121 words)
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| | Skew Binary |
| | The first 10 numbers in skew binary are 0, 1, 2, 10, 11, 12, 20, 100, 101, and 102. | | | When a number is expressed in binary, the k-th digit represents a multiple of 2 | | | (Skew binary is useful in some applications because it is possible to add 1 with at most one carry. |
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http://acm.uva.es/p/v5/575.html
(176 words)
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| | Binary Numbers |
| | The power of computers processing binary numbers in medical, manufacturing, environmental, and many other processes is dependent on being able to make biological, chemical, and physical measurements and convert the measurements to binary numbers. | | | Also explain why binary numbers are preferred in creating computation and communication equipment. | | | Objective: Explain the use of binary numbers to represent a wide variety of phenomena in computation and communication. |
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http://www.eco.utexas.edu/Homepages/Faculty/Norman/long/binary.html
(2647 words)
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| | Basics of Binary Numbers |
| | Adding two binary numbers together is like adding decimal numbers, except 1 + 1 = 10 (in binary, that is), so you have to carry the one to the next column: | | | For computers, binary numbers are great stuff because: | | | Each digit "1" in a binary number represents a power of two, and each "0" represents zero: |
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http://l3d.cs.colorado.edu/courses/CSCI1200-96/binary.html
(531 words)
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| | Binary Interchange of XML Infosets |
| | Other examples are those that define the binary format as a serialization of a PSVI or an XPath 2.0 data model. | | | For example, a binary XML format that uses schema information may turn the character information items "001" into the binary number 1 whenever its type is xs:int. | | | However, we prefer the use of "binary XML" simply because it is shorter and, as we will discuss shortly, because there are cases in which the complete XML infoset is not represented in the binary format either. |
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http://www.idealliance.org/papers/dx_xml03/papers/05-01-02/05-01-02.html
(3089 words)
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| | PHY107 Binary Codes |
| | This coding is an example of a binary coded (each decimal number maps to four bits) weighted (each bit represents a number, 1, 2, 4, etc.) code. | | | The usual way of expressing a decimal number in terms of a binary number is known as pure binary coding and is discussed in the Number Systems section. | | | The 4221 BCD code is another binary coded decimal code where each bit is weighted by 4, 2, 2 and 1 respectively. |
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http://www.shef.ac.uk/physics/teaching/phy107/codes.html
(529 words)
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| | 52346.981119&ELEMENT_SET=DECL |
| | First, the number of binary ones in the bitmap are counted and the resulting number is placed in the root node of a binary tree. | | | Then a binary bi-level image to be transmitted or stored is input in a block 203, and the number of binary ones in that image are counted in a block 205. | | | The number of binary ones in the obtained sub-images are then counted and found to be two in the upper sub-image 105 and sixteen in the lower sub-image 107. |
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http://www.wipo.int/cgi-pct/guest/getbykey5?KEY=98/52346.981119&ELEMENT_SET=DECL
(2464 words)
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| | XML.com: Handling Binary Data in XML Documents |
| | Multimedia systems, for instance, are just one example of systems requiring the processing of a number of large binary files, often simultaneously. | | | Although encoding binary data in base64 is one solution for handling binary data from within XML documents, it's not a very efficient way to represent large amounts of such binary data. | | | His solution for handling binary data was to handle external references using multipart/related MIME compound documents. |
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http://www.xml.com/pub/98/07/binary/binary.html
(1374 words)
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| | CSCI/MATH 308 Binary Encoding Schemes (This is copied from some book whose reference was lost years ago--sorry) |
| | Although the binary number system has many practical advantages and is widely used in digital computers, in many cases it is convenient to work with the decimal number system, especially when the communication between man and machine is extensive, since most numerical data generated by man are in terms of decimal numbers. | | | In a four-bit binary code, the occurrence of a single error in one of the binary digits may result in another, incorrect but valid, code word. | | | The binary digits in the first code in the above table are assigned the weights 8, 4, 2, 1. |
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http://www.mtsu.edu/~cscbp/csci3080/encoding.htm
(3017 words)
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| | OPS325 Data Representation Notes |
| | Mathematically, because 16 (the number base for hex) is 2 (the number base for binary) raised to the 4th power, there is a direct correspondence between four binary digits and one hex digit. | | | The binary equivalent is: 1 1 0 1 0 0 | | | Example: 26 - 48 = -22 26 in binary: 0000000000011010 2's complement of 48: +1111111111010000 ---------------- 1111111111101010 2's complement of 1111111111101010 is: 0000000000010101 + 1 ---------------- 0000000000010110 which is binary for 22! |
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http://pandora.senecac.on.ca/~ward/ops334/ops_datarep.html
(5561 words)
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| | signBin-c.html |
| | One way to change the sign for a signed binary number is to decode it to decimal, change the sign of the decimal number, and then code it back to signed binary. | | | Nonetheless, first convert the binary number as unsigned to decimal. | | | The codes for positive numbers (and 0) are the same as the ones in the earlier unsigned code table. |
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http://core.ecu.edu/csci/wirthj/Basen/signBin-c.html
(1541 words)
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| | Untitled Document |
| | The binary number in this range with the smallest number of bits is 0.101001011101, which corresponds to 0.647705 decimal. | | | The binary arithmetic coding engine is implemented as a state machine, where probability estimation is performed by a transition process between 64 probability states for the Least Probable Symbol (LPS). | | | A disadvantage of binary arithmetic coding is that only two symbols, 0 and 1, can be encoded. |
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http://www.bilsen.com/aic/CABAC.htm
(1718 words)
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| | What are binary, octal, and hexadecimal notations? |
| | Instead of 1's, 10's, 100's, and 1000's digits, binary numbers have 1's, 2's, 4's, and 8's. | | | Thus, the number two in binary would be represented as a 0 in the ones place and a 1 in the twos place, i.e., 10. | | | A binary file is one in which the eighth bit of each byte is used for data. |
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http://www.dewassoc.com/support/msdos/what_are_binary.htm
(632 words)
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| | Andy's Page About Homeworlds |
| | The 2nd Binary Homeworlds tournament was held at Big Experiment #6 in 2005 and was far more successful due to the all-weekend-long floating tournament format devised by Liam (see below). | | | Ultimately, I find that Binary Homeworlds provides more replay value than regular Homeworlds because the results are always satisfying. | | | In Binary Homeworlds, there's no luck factor to mess up your plans, no diplomatic failings to bring you down, and no hidden information you need to keep secret to succeed. |
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http://www.wunderland.com/WTS/Andy/Games/ILoveHomeworlds.html
(1707 words)
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| | Binary and text files - Wikipedia, the free encyclopedia |
| | Text files are sometimes advantageous even for data storage because they avoid certain problems with binary files, such as endianness, padding bytes, or differences in the number of bytes in a machine word. | | | Binary files are usually thought of as being a sequence of bytes, which means the binary digits (bits) are grouped in eights. | | | Or, rather, text files are a special case of binary files, since any file is fundamentally a sequence of bits, and many computer components (for example, all hard disk circuitry and most system software) make no distinction between file types. |
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http://en.wikipedia.org/wiki/Binary_and_text_files
(818 words)
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| | History of Computing Science: Binary Representation |
| | A bit is simply a single occurrence of a binary number--a 0 or a 1. | | | Thus, if you had a possible binary number of 6 bits, 64 different numbers could be generated. | | | The binary system is composed of 0s and 1s. |
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http://www.eingang.org/Lecture/binrep.html
(232 words)
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