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| | Binary numeral system - Wikipedia, the free encyclopedia |
 | | Binary 000 is equivalent to the octal digit 0, binary 111 is equivalent to octal 7, and so on. | | | A binary number can be represented by any sequence of bits (binary digits), which in turn may be represented by any mechanism capable of being in two mutually exclusive states. | | | Owing to its relatively straightforward implementation in electronic circuitry, the binary system is used internally by virtually all modern computers. |
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http://en.wikipedia.org/wiki/Base_2
(2701 words)
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| | A Lesson on Binary Numbers |
| | Decimal Binary 0 0 1 1 2 10 3 11 4 100 5 101 6 110 7 111 8 1000 9 1001 | | | All commands, memory storage, input, and output are done using binary in the computer. | | | Instead, the way binary works is by registering a high signal for 1s and a low signal for 0s. |
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http://www.networkclue.com/hardware/computer/binary.php
(1095 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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| | AllRefer.com - binary system (Mathematics) - Encyclopedia |
| | binary system, numeration system based on powers of 2, in contrast to the familiar decimal system, which is based on powers of 10. | | | In the binary system, only the digits 0 and 1 are used. | | | As with the decimal system, fractions can be represented by digits to the right of the binary point (analogous to the decimal point). |
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http://reference.allrefer.com/encyclopedia/B/binarysy.html
(390 words)
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| | Binary System |
| | The binary system is of great help in the Nim-like games: Plainim, Nimble, Turning Turtles, Scoring, Northcott's game, etc. More importantly, the binary system underlies modern technology of electronic digital computers. | | | The Binary System of numeration is the simplest of all positional number systems. | | | Whenever a digit becomes 0, its neighbor to the left is replaced with its successor in the sequence of binary symbols. |
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http://www.cut-the-knot.org/do_you_know/BinaryHistory.shtml
(1590 words)
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| | Representation of numbers |
| | Convert 1010 0111 1011 from binary to hexadecimal | | | Before discussing the binary system, a review of the decimal (ten possible digits) system is in order, because many of the concepts of the binary system will be easier to understand when introduced alongside their decimal counterpart. | | | Each digit to the left has a multiplier that is 10 times the previous digit. |
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http://www.swarthmore.edu/NatSci/echeeve1/Ref/BinaryMath/NumSys.html
(2515 words)
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| | equivalent-binary-digit factor |
| | [n] the average number of binary digits needed to express one radix digit in a non-binary numeration system; on the average a number that can be expressed in N decimal digits takes 3.3N binary digits. |
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http://lookwayup.com/lwu.exe/lwu/i?t=&h=imode&s=h&b=&w=equivalent-binary-digit&st=
(35 words)
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| | [No title] |
| | When working with large digital systems, such as computers, it is common to find binary numbers with 8, 16 and even 32 digits. | | | Example: Convert the hex number 374F into binary 3 7 4 F Convert the hex digits to binary 0011 0111 0100 1111 00110111010011112 There are several ways in common use to specify that a given number is in hexadecimal representation rather than some other radix. | | | The term ‘bit’ is a contraction of the words ‘binary’ and ‘digit’, and when talking about binary numbers the terms bit and digit can be used interchangeably. |
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http://moab.eecs.wsu.edu/~ee314/documents/number_systems_and_conversion.doc
(2626 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. | | | A binary file is one in which the eighth bit of each byte is used for data. | | | A bit is a binary digit, the smallest increment of data on a machine. |
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http://www.dewassoc.com/support/msdos/what_are_binary.htm
(632 words)
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| | Binary Representations |
| | B In binary arithmetic, digits to the right of the decimal point (binary point?) have the values 1/2, 1/4, 1/8, 1/16,. | | | Since a digital computer is only capable of storing ones and zeroes, various codes must be defined in order for those ones and zeroes to represent numbers, alphabetic characters, and other information. | | | For example, binary numbers (base two) consist of strings of two characters (0 and 1), where each binary digit carries twice as much weight as the digit to its right. |
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http://class.et.byu.edu/ce571/notes/binary.html
(1551 words)
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| | bit - a Whatis.com definition - see also: binary digit |
| | A bit (short for binary digit) is the smallest unit of data in a computer. | | | A bit has a single binary value, either 0 or 1. | | | Although computers usually provide instructions that can test and manipulate bits, they generally are designed to store data and execute instructions in bit multiples called bytes. |
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http://whatis.techtarget.com/definition/0,,sid9_gci213816,00.html
(221 words)
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| | 1.2.1 Representing Data |
| | Some additional examples of equivalent hexadecimal, octal, binary, and decimal numbers are shown in Table 1.1 In a programming language we need a way to distinguish numbers written in different bases (base 8, 16, 10, or 2). | | | When a binary number is stored in a computer word with a fixed number of bits, unused bits to the left (leading bits) are set to 0. | | | However, converting the computer binary representation to the human decimal notation is somewhat tedious, but at the same time writing long strings of bits is also inconvenient and error prone. |
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http://www-ee.eng.hawaii.edu/Courses/EE150/Book/chap1/subsection2.1.2.1.html
(2298 words)
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| | Introduction to Digital Electronics - Lesson 3 |
| | The initial Carry In input is fed from a binary digit called the Carry Flag, which is usually set to 0 (The Carry Flag is used to perform multi-byte addition - see the section on Computer Architecture). | | | It has two digit inputs and a Carry In input which is the Carry Out output from the previous column. | | | In fact, the binary addition of two digits always produces two numbers - the sum of those digits and a carry out digits which is then added to the next column along, assuming there is one, or which just disappears into the void. |
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http://richardbowles.tripod.com/dig_elec/chapter3/chapter3.htm
(1017 words)
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| | OPS325 Data Representation Notes |
| | 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! | | | In particular, there is one 4-byte field of character format text data, one 2-byte field of unsigned binary data, one 2-byte field of signed binary data, one 4-byte field of zoned decimal data and one 3-byte field of packed decimal data. |
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http://pandora.senecac.on.ca/~ward/ops334/ops_datarep.html
(5561 words)
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| | iSeries / AS400 FAQ: What does BINARY(4) mean in API documentation? |
| | A binary number (in the sense the manual uses the word binary) is one whereby each binary digit is used to represent a numeric value in increasing powers of two. | | | In RPG IV, there are two kinds of 4-byte binary number: the 10-digit integer or the 9-digit binary. |
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http://faq.midrange.com/index.pl?file=24
(720 words)
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| | Week 7 Section 2: Hexadecimal Numbers |
| | To convert from hexadecimal back to binary, do the same thing in reverse: for each hexadecimal digit, convert it to decimal and then find the four digit binary number that is equivalent to that decimal number. | | | The convention is to use the letters A through F. So A is the digit with value 10, B is the digit with value 11, C is the digit with value 12, and so on to F which has a value of 15. | | | Base 16 numbers are used because they are relatively easy for a programmer to read due to their conciseness (every four binary digit is equivalent to one hexadecimal digit), and (more importantly) it is extremely easy to convert back and forth between binary numbers and hexadecimal numbers. |
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http://www.sonic.net/~garyb/Online/CompSciFundI/wk7pt2.html
(765 words)
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| | ns2 |
| | Its big problem is that the digits of the binary numeral are calculated from right to left (least significant digit first). | | | There are two ways to convert from binary to decimal: the adding method and the multiplying method. | | | The answer, which is a binary number, starts blank and is built up from left (most significant digit) to right. |
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http://myweb.lsbu.ac.uk/~kestner/ict/ns2.html
(526 words)
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| | Bits, Bites and Hex |
| | The post subscript indicates binary.) Binary is a bit verbose: the simple number decimal 256 in binary becomes 100000000. | | | (The base of binary is two.) This not only means there are 10 digits, 0-9, but also means that in a number formed from a string of digits, each digit forms a power of 10. | | | A single binary digit has only two values: 0 and 1. |
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http://physics.concordia.ca/~eddy/391/Chap1.html
(2866 words)
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| | Detective Digit |
| | A binary number is made up of a combination of only two digits: zeroes and ones. | | | Invite an engineer, or computer scientist to your classroom to discuss binary numbers and their use in everyday technology. | | | Detective Digit and the Slap Happy Computer Caper |
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http://imagine.gsfc.nasa.gov/docs/teachers/lessons/slap/slap_main.html
(1480 words)
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| | Atrevida Tutorial 2: Binary Operations |
| | It is customary to refer to a digit in binary (either 1 or 0) as a bit, which supposedly stands for "Binary digIT". | | | The + operator, for addition, is a binary operator for this reason: in the expression "9 + 4", the two operands are 9 and 4. | | | All of the ones in a binary number become zeroes, and all of the zeroes become ones. |
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http://atrevida.comprenica.com/atrtut02.html
(4004 words)
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| | [No title] |
| | The combination of sequence numbers used (subtracted) and not used, when placed in significance order, is the binary code Example: Decimal number 31 into binary code: Decimal Value 31MSB LSB-32-16-8-4-2-131-0=3131-16=1515-8=77-4=33-2=11-1=0Binary Code011111 Note that the first subtraction (31-32) would not work, so that position in the binary code was not used ('0'). | | | Remember the binary sequence (from LSB to MSB): 1,2,4,8,16 etc. This time we will use it in reverse order and apply it from left to right to determine the binary code. | | | The following method for calculating a binary code from a decimal code uses subtraction and works in a similar, but reversed way, from the previous method for binary to decimal conversion.. |
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http://www.swin.edu.au/bsee/het148/cjw/het148_numSys.doc
(839 words)
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| | NetForum - Message Replies |
| | The figure below illustrates this concept: 1011: binary number (only 1’s and 0’s present), which arbitrarily has 4 digits any of the 1’s or the 0 in the above binary number is a digit of the binary number, and thus a bit since they are binary digits 01011011 8-bit number = 1 byte | | | The term “digit” refers to a single 1 or 0 within this binary number. | | | Bit: The term “bit” is derived from two other technical words, “binary” and “digit”. |
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http://athena.english.vt.edu/cgi-bin/netforum/8twf02/a/8--3.9.0.3
(789 words)
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| | The Representation of Numbers in Binary |
| | The First remainder is the LSB (Least Significant Bit or Digit, the digit on the right of the number) of the Binary number. | | | Negative numbers in Binary are almost always displayed in "2's Complement" form. | | | The next remainder is the next digit, and so on until the value is 0. |
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http://www.rz.uni-hohenheim.de/hardware/basics/csc102/ch2.html
(845 words)
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| | Optimal Left-to-Right Binary Signed-Digit Recoding |
| | Contrary to existing algorithms, the digits are scanned from left to right (i.e., from the most significant position to the least significant position). | | | This paper describes new methods for producing optimal binary signed-digit representations. | | | This can be useful in the fast computation of exponentiations. |
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http://csdl2.computer.org/persagen/DLAbsToc.jsp?resourcePath=/dl/trans/tc/&toc=comp/trans/tc/2000/07/t7toc.xml&DOI=10.1109/12.863044
(569 words)
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| | Binary Digit Units Conversions |
| | Here you will find a collection of binary digit units conversion tools. |
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http://www.metricconversions.net/togigabytes05.html
(12 words)
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| | [No title] |
| | Convert to Binary number (Remember to drop leading zeros for first set of binary numbers - i.e. | | | 1 byte (0 - 255 numbers) 2 bytes (0 - 65535) 4 bytes (0-4294967295) ¡* _ F © % ª ^ H ó m 7 ¨ Data Formats ¡ ¨[ Unsigned Binary Data stored as a binary number, with no way to express a negative quantity ¡4 L ) J % ) ó u ; ¨ Unsigned Numbers ¡ ª ¨Î If the sign of the number is not important (ie. | | | 1 byte (0 - 255 numbers) 2 bytes (0 - 65535) 4 bytes (0-4294967295) ¡* ^ F ¨ # ª ] H ó s > ¨ Data Representation ¡ ª ¨á So far, we have learned how to convert between decimal, binary, octal and hexadecimal numbering systems and have performed non-decimal arithmetic. |
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http://people.senecac.on.ca/henry.helou/data1.ppt
(327 words)
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| | BIT - Binary digIT |
| | Sometimes abbreviated as "b", a bit is short for Binary digIT and is a single unit of information that can have a value of either ON or OFF. | | | Were you able to locate the answer to your questions? |
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http://www.computerhope.com/jargon/b/bit.htm
(84 words)
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| | Bit -- (Binary DigIT) Web Design Melbourne Australia Webmelon |
| | Bit -- (Binary DigIT) Web Design Melbourne Australia Webmelon | | | A single digit number in base-2, in other words, either a 1 or a zero. | | | The internet is the most cost effective means of advertising and promoting your business, products and or services. |
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http://media.webmelon.com/index.php?action=viewcategory&categoryid=2&postid=25
(152 words)
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| | Viruslist.com - Bit |
| | A bit is a base-2 number; two digits where both can be either 1 or 0. |
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http://www.viruslist.com/en/viruses/glossary?glossid=153595785
(90 words)
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