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	Binary System
		Everywhere, except for computer-related operations, the main system of mathematical notation today is the decimal system, which is a base-10 system.
		As in other number systems, the position of a symbol in a base-10 number denotes the value of that symbol in terms of exponential values of the base.
		That is, in the decimal system, the quantity represented by any of the ten symbols used - 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 - depends on its position in the number.
	www.usbyte.com /common/binary_system.htm (351 words)

	Binary numeral system - Wikipedia, the free encyclopedia
		Owing to its relatively straightforward implementation in electronic circuitry, the binary system is used internally by virtually all modern computers.
		An ordered binary arrangement of the hexagrams of the I Ching, representing the decimal sequence from 0 to 63, and a method for generating the same, was developed by the Chinese scholar and philosopher Shao Yong in the 11th century.
		This is due to the fact that the radix of the hexadecimal system (16) is a power of the radix of the binary system (2).
	en.wikipedia.org /wiki/Binary_numeral_system (3140 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		The first known description of a binary numeral system was made by Pingala in his Chhandah-shastra, placed variously in the 5th century BC or the 2nd century BC.
		In the binary system, however, it is customary to use the two's complement notation for performing subtraction.
		Binary multiplication and division are also similar to their decimal counterparts, and in some respects are considerably simpler to perform by hand.
	www.wikiwhat.com /encyclopedia/b/bi/binary_numeral_system.html (1712 words)

	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.
		Thus, the first ten numbers in binary notation, corresponding to the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in decimal notation, are 0, 1, 10, 11, 100, 101, 110, 111, 1000, and 1001.
		) = 64 + 0 + 16 + 8 + 0 + 2 + 0 = 90 in the decimal system.
	reference.allrefer.com /encyclopedia/B/binarysy.html (390 words)

	Binary numeral system - Biocrawler (Site not responding. Last check: 2007-11-05)
		The binary or base-two numeral system is a system for representing numbers in which a radix of two is used; that is, each digit in a binary numeral may have either of two different values.
		The first known description of a binary numeral system was made by Indian mathematician Pingala in his Chhandah-shastra, placed variously in the 5th century BC or the 2nd century BC.
		Although the British philosopher Francis Bacon had earlier described a developed system of concealed binary encoding for encryption, the modern binary number system was first fully documented by Gottfried Leibniz in the 17th century in his article Explication de l'Arithmétique Binaire.
	www.biocrawler.com /encyclopedia/Binary_numeral_system (2814 words)

	Binary system (astronomy) - Wikipedia, the free encyclopedia
		It has been suggested that Contact binary, Binary star be merged into this article or section.
		A binary system is an astronomic term referring to two objects in space (usually stars, but also planets or asteroids) which are so close that their gravitational interaction causes them to orbit about a common center of mass.
		that of double planet, but not that of binary star) require that this center of mass is not located within the interior of either object.
	en.wikipedia.org /wiki/Binary_system_(astronomy) (142 words)

	binary system - HighBeam Encyclopedia (Site not responding. Last check: 2007-11-05)
		BINARY SYSTEM [binary system] numeration system based on powers of 2, in contrast to the familiar decimal system, which is based on powers of 10.
		Thus, the first ten numbers in binary notation, corresponding to the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in decimal notation, are 0, 1, 10, 11, 100, 101, 110, 111, 1000, and 1001.
		Ambiguities in powder indexing: conjunction of a ternary and binary lattice metric singularity in the cubic system.
	www.encyclopedia.com /doc/1E1-binarysy.html (451 words)

	The Binary System
		The binary notation signifies the presence/absence of either a one (1) or a zero (0), which represents the presence/absence of its corresponding figure on the previous progression of constant numbers.
		The binary system of assigning either a 1 or a 0 to a given progression of numbers, essentially, follows the design of the ancient maya long count system.
		By analyzing the functioning of the ancient reckoning systems, we have seen that the ancient system is essentially based on a similar system of notation as that of the binary notation.
	www.earthmatrix.com /binary/system.htm (2706 words)

	Binary System
		The Binary System of numeration is the simplest of all positional number systems.
		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.
		To represent numbers, the decimal system uses the powers of 10, whereas the binary system uses in a similar manner the powers of 2.
	www.cut-the-knot.org /do_you_know/BinaryHistory.shtml (1590 words)

	Graphics Definitions (Site not responding. Last check: 2007-11-05)
		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).
		Binary digits are also very simple to work with mathematically, in fact, the computer can only do calculations on binary digits.
	www.bergen.org /AAST/ComputerAnimation/Graph_BinarySystem.html (316 words)

	Binary numeral system - Facts, Information, and Encyclopedia Reference article
		The binary numeral system represents numeric values using two symbols, typically 0 and 1.
		The modern binary number system was first fully documented by Gottfried Leibniz in the 17th century in his article Explication de l'Arithmétique Binaire.
		Another way, perhaps quicker and more efficient than the previous, of converting from binary to decimal, is to do so indirectly- first converting (x binary) or (x decimal) to (x hexidecimal) and then converting (x hexidecimal) to the opposite of the former, respectively.
	www.startsurfing.com /encyclopedia/b/i/n/Binary_arithmetic.html (2692 words)

	Binary Math - number systems, decimal converter, arithmetic
		Whether it be from math class or computer science class, eventually we will need to learn about number systems, and the mathematics that is involved.
		Let's take a look at the decimal system first, since it is simple and easier to think about.
		The decimal system, as with decimal math, operates in "base 10" (dec being the Latin prefix for ten) using the digits 0-9 to represent numbers, whereas the binary system, as well as its math, operates in "base 2" (bi being the Latin prefix for two) using the digits 0-1 to represent numbers.
	www.binarymath.info (304 words)

	Binary Stars (Site not responding. Last check: 2007-11-05)
		Spectroscopic binaries are systems in which the stars are so close together that they appear as a single star even in a telescope.
		The binary nature of the system is deduced from the periodic doppler shifts of the wavelengths of lines seen in the spectrum, as the stars move through their orbits around the center of mass.
		Eclipsing binaries are systems in which the orbital plane is oriented exactly edgewise to the plane of the sky so that the one star passes directly in front of the other, blocking out its light during the eclipse.
	astrosun2.astro.cornell.edu /academics/courses/astro201/binstar.htm (307 words)

	What is binary? - A Word Definition From the Webopedia Computer Dictionary
		Computers are based on the binary numbering system, which consists of just two unique numbers, 0 and 1.
		All operations that are possible in the decimal system (addition, subtraction, multiplication, division) are equally possible in the binary system.
		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.
	www.webopedia.com /TERM/B/binary.html (418 words)

	Binary Research Institute (Site not responding. Last check: 2007-11-05)
		Indeed, BRI has established that data recording precession of the equinox fits better with their hypothesis that the Sun is part of a binary star system, with the Sun currently in an accelerating phase in an elliptical orbit of about 24,000 years duration around the gravitational center of the binary system.
		Although available data cannot pinpoint the exact location of a possible binary companion to the Sun, evidence indicates that it is generally in the direction of the galactic center, in the constellation Sagittarius, he said.
		The orbital plane of the binary star system is estimated to be approximately parallel to the solar plane.
	www.binaryresearchinstitute.org /news/news05302002.shtml (1234 words)

	Binary Number System
		Since there is a correspondence between the logic levels used by the computer and the two digits used in the binary numbering system, it should come as no surprise that computers employ the binary system.
		When performing the division, the remainders which will represent the binary equivalent of the decimal number are written beginning at the least significant digit (right) and each new digit is written to more significant digit (the left) of the previous digit.
		When performing the subtraction, the digits which will represent the binary equivalent of the decimal number are written beginning at the most significant digit (the left) and each new digit is written to the next lesser significant digit (on the right) of the previous digit.
	www.danbbs.dk /~erikoest/binary.htm (2085 words)

	Binary - So Simple a Computer Can Do It
		Gottfried Leibniz laid the modern foundation of the movement from decimal to binary as far back as 1666, while John Atanasoff, a physics professor at Iowa State College, had built a prototype binary computer by 1939.
		Today, of course, and in almost every computer built since the 1950s, the binary system has replaced the decimal (which really only came about because it was handy to be able to count on your fingers) and advanced digital computer capabilities to an incredible degree.
		The reduction of decimal to binary does increase the length of the number, a lot, but this is more than made up for in the increase in speed, memory and utilisation.
	www.kerryr.net /pioneers/binary.htm (623 words)

	SPACE.com -- Supernova Nearly Split Binary Star System
		LS 5039 was among a number of possible new massive X-ray binary systems found with the ROSAT X-ray satellite by astronomers from France, Germany, and Brazil.
		X-ray binary systems consist of a star that is losing mass to its partner, which is the remnant of a supernova, either a neutron star or a fl hole.
		McSwain's observations confirm that LS 5039 is a close X-ray binary system: one extremely bright, massive star and a companion that is nearly invisible to human eyes, which marks the remains of the stellar explosion.
	www.space.com /scienceastronomy/astronomy/xray_binary_010828.html (878 words)

	binary - Wiktionary
		Binary states are often abstracted as 1 and 0 in computer science.
		Concerning logic whose subject matter concerns binary states.
		A binary distribution is a statistical distribution with only two categories.
	en.wiktionary.org /wiki/binary (224 words)

	Homeschool Study Guide Numbers - The Binary System
		The Binary System is based on two numbers (base 2) and you probably know that digital computers use the binary system.
		These systems are the Octal System (base 8) and the Hexadecimal System (base 16).
		You already know something about the binary system because its rules are just like the rules for the decimal system.
	www.teach-at-home.com /fastfacts/numbers/Binary.asp (712 words)

	What is the binary system?
		You use the decimal system every day, it comes naturally, we all have 10 fingers and 10 toes (unless your family tree doesn't fork, but let's not go there), and some of us use those 10 fingers and toes extensively to help with every day addition and subtraction.
		The binary system works essentially the same way, with the only difference that it only has two digits.
		Every number expressed in the binary system is a combination of these two digits.
	www.pcnineoneone.com /howto/binary1.html (342 words)

	Number System
		In the binary system, there can be only two choices for this number -- either a "0" or a "1".
		As demonstrated by the following table, there is a direct correspondence between the binary system and the octal system, with three binary digits corresponding to one octal digit.
		Note how simple the addition and multiplication tables are for the binary system; addition operation is simply the bit-wise XOR operation with carry, and multiplication is simply the logical AND operation.
	www.engr.umd.edu /~nsw/ench250/number.htm (2509 words)

	The Binary Number System
		A number system based on ten is called a decimal system.
		The binary system works in exactly the same way, except that its place value is based on the number two.
		In the binary system, we have the one's place, the two's place, the four's place, the eight's place, the sixteen's place, and so on.
	schoolscience.rice.edu /duker/robots/binarynumber.html (496 words)

	A tutorial on binary numbers
		The binary system works under the exact same principles as the decimal system, only it operates in base 2 rather than base 10.
		Binary addition works on the same principle, but the numerals are different.
		To convert the decimal number 75 to binary, we would find the largest power of 2 less than 75, which is 64.
	www.math.grin.edu /~rebelsky/Courses/152/97F/Readings/student-binary.html (2115 words)

	Binary starsystems space art: Cataclysmic, Eclipsing, X-Ray binaries
		An example of an optical binary is the star Mizar, which is the second star from the left in the handle of the constellation The Big Dipper, or more precisely: Ursae Majoris, The Big Bear.
		Mizar is actually a binary system which can be distinguished with the naked eye, and is a fine target for amateur astronomer who wish to test their eyesight.
		Systems containing a white dwarf can display a nova, which is an energetic explosion, which can be been at great distances.
	www.novacelestia.com /space_art_binary.html (417 words)

	Binary, Octal, Hexadecimal Systems, Base Convertion
		Atkinson addresses specifics of the conversion between binary, decimal and hexadecimal systems in his Elementary Numerical Analysis, John Wiley & Sons, 1985.) Elsewhere I explain how to implement this procedure in both recursive and iterative manners.
		Representation of a number in a system with base (radix) N may only consist of digits that are less than N. (The converter works this way: first type a number in the base you wish to convert from.
		Once you know how to do that in the decimal system, you are supposed to know how to handle the same thing in other bases.
	www.cut-the-knot.org /binary.shtml (604 words)

	Howstuffworks "How Bits and Bytes Work"
		The neat thing about number systems is that there is nothing that forces you to have 10 different values in a digit.
		Our base-10 number system likely grew up because we have 10 fingers, but if we happened to evolve to have eight fingers instead, we would probably have a base-8 number system.
		Computers happen to operate using the base-2 number system, also known as the binary number system (just like the base-10 number system is known as the decimal number system).
	computer.howstuffworks.com /bytes.htm (1392 words)

	An Intermediate Polar Binary System « Space Photos
		Some stars are members of close binary systems where material from one star swirls around the other in an accretion disk.
		Only a handful of stars, however, are members of an intermediate polar, a system featuring a white dwarf star with a magnetic field that significantly pushes out the inner accretion disk, only allowing material to fall down its magnetic poles.
		The name intermediate polar derives from observations of emitted light polarized at a level intermediate to non-disk binary systems known as polars.
	jtintle.wordpress.com /2006/05/21/an-intermediate-polar-binary-system (180 words)

	Binary System
		For Binary System, rhythm and melody are so tightly intertwined that they become one.
		Binary System offers a unique approach to groove-based improv on Invention Box--far enough off the beaten track to offer general interest, yet so thoroughly rooted in its rhythmic foundations that listeners will never find themselves lost in its swirl.
		An archive of all the Binary System reviews I've found, from 1996 to present...
	members.tripod.com /~dersch/binary_index.html (357 words)

	X-ray Binary
		One of the two is a normal star; but the other is a collapsed star, such as a neutron star or a fl hole, which has about the same mass as our Sun but has shrunk to ten kilometers or less in radius.
		Intense X-ray emission is released from the inner region of the accretion disk where it falls onto the collapsed star.
		The set of small GIF images used to create the X-ray binary inline animation is available.
	heasarc.gsfc.nasa.gov /docs/binary.html (127 words)

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