of or pertaining to a system of numerical notation to the base 2, in which each place of a number, expressed as 0 or 1, corresponds to a power of 2. The decimal number 58 appears as 111010 in binary notation, since 58 = 1 × 25 + 1 × 24 + 1 × 23 + 0 × 22 + 1 × 21 + 0 × 20.
b.
of or pertaining to the digits or numbers used in binary notation.
c.
of or pertaining to a binary system.
d.
(of an operation) assigning a third quantity to two given quantities, as in the addition of two numbers.
3.
Chemistry. noting a compound containing only two elements or groups, as sodium chloride, methyl bromide, or methyl hydroxide.
4.
Metallurgy. (of an alloy) having two principal constituents.
of or pertaining to a number system have 2 as its base; "a binary digit"
2.
consisting of two (units or components or elements or terms); "a binary star is a system in which two stars revolve around each other"; "a binary compound"; "the binary number system has two as its base"
noun
1.
a system of two stars that revolve around each other under their mutual gravitation [syn: binary star]
2.
a pre-compiled, pre-linked program that is ready to run under a given operating system; a binary for one operating system will not run on a different operating system; "the same source code can be compiled to produce different binaries for different operating systems"
Anything composed of two parts. In modern computers, information is stored in banks of components that act like switches. Since switches can be either on or off, they have a binary character, and we say that the computer uses “binary arithmetic” to do its work.
Main Entry: bi·na·ry Pronunciation: 'bI-n&-rE, -"ner-E Function: adjective 1: compounded or consisting of or marked by two things
or parts 2 a: composed of two chemical elements, an element and a radical that acts as an element, or two such radicals b: utilizing two harmless ingredients
that upon combining form a lethal substance (as a gas)
binary 1. Base two. A number representation consisting of zeros and ones used by practically all computers because of its ease of implementation using digital electronics and Boolean algebra. 2. binary file. 3. A description of an operator which takes two arguments. See also unary, ternary. (2005-02-21)
Bi"na*ry\, a. [L. binarius, fr. bini two by two, two at a time, fr. root of bis twice; akin to E. two: cf. F. binaire.] Compounded or consisting of two things or parts; characterized by two (things). Binary arithmetic, that in which numbers are expressed according to the binary scale, or in which two figures only, 0 and 1, are used, in lieu of ten; the cipher multiplying everything by two, as in common arithmetic by ten. Thus, 1 is one; 10 is two; 11 is three; 100 is four, etc. --Davies & Peck. Binary compound (Chem.), a compound of two elements, or of an element and a compound performing the function of an element, or of two compounds performing the function of elements. Binary logarithms, a system of logarithms devised by Euler for facilitating musical calculations, in which 1 is the logarithm of 2, instead of 10, as in the common logarithms, and the modulus 1.442695 instead of .43429448. Binary measure (Mus.), measure divisible by two or four; common time. Binary nomenclature (Nat. Hist.), nomenclature in which the names designate both genus and species. Binary scale (Arith.), a uniform scale of notation whose ratio is two. Binary star (Astron.), a double star whose members have a revolution round their common center of gravity. Binary theory (Chem.), the theory that all chemical compounds consist of two constituents of opposite and unlike qualities.
Com*bine"\, v. t. [imp. & p. p. Combined; p. pr. & vb. n. Combining.] [LL. combinare, combinatum; L. com- + binus, pl. bini, two and two, double: cf. F. combiner. See Binary.]1. To unite or join; to link closely together; to bring into harmonious union; to cause or unite so as to form a homogeneous substance, as by chemical union. So fitly them in pairs thou hast combined. --Milton. Friendship is the cement which really combines mankind. --Dr. H. More. And all combined, save what thou must combine By holy marriage. --Shak. Earthly sounds, though sweet and well combined. --Cowper. 2. To bind; to hold by a moral tie. [Obs.] I am combined by a sacred vow. --Shak.
Com"pound\, n. 1. That which is compounded or formed by the union or mixture of elements ingredients, or parts; a combination of simples; a compound word; the result of composition. --Shak. Rare compound of oddity, frolic, and fun. --Goldsmith. When the word "bishopric" was first made, it was made as a compound. --Earle. 2. (Chem.) A union of two or more ingredients in definite proportions by weight, so combined as to form a distinct substance; as, water is a compound of oxygen and hydrogen. Note: Every definite chemical compound always contains the same elements, united in the same proportions by weight, and with the same internal arrangement. Binary compound (Chem.). See under Binary. Carbon compounds (Chem.). See under Carbon.
Log"a*rithm\ (l[o^]g"[.a]*r[i^][th]'m), n. [Gr. lo`gos word, account, proportion + 'ariqmo`s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division. Note: The relation of logarithms to common numbers is that of numbers in an arithmetical series to corresponding numbers in a geometrical series, so that sums and differences of the former indicate respectively products and quotients of the latter; thus, 0 1 2 3 4 Indices or logarithms 1 10 100 1000 10,000 Numbers in geometrical progression Hence, the logarithm of any given number is the exponent of a power to which another given invariable number, called the base, must be raised in order to produce that given number. Thus, let 10 be the base, then 2 is the logarithm of 100, because 10^2 = 100, and 3 is the logarithm of 1,000, because 10^3 = 1,000. Arithmetical complement of a logarithm, the difference between a logarithm and the number ten. Binary logarithms. See under Binary. Common logarithms, or Brigg's logarithms, logarithms of which the base is 10; -- so called from Henry Briggs, who invented them. Gauss's logarithms, tables of logarithms constructed for facilitating the operation of finding the logarithm of the sum of difference of two quantities from the logarithms of the quantities, one entry of those tables and two additions or subtractions answering the purpose of three entries of the common tables and one addition or subtraction. They were suggested by the celebrated German mathematician Karl Friedrich Gauss (died in 1855), and are of great service in many astronomical computations. Hyperbolic, or Napierian, logarithms , those logarithms (devised by John Speidell, 1619) of which the base is 2.7182818; -- so called from Napier, the inventor of
The"o*ry\, n.; pl. Theories. [F. th['e]orie, L. theoria, Gr. ? a beholding, spectacle, contemplation, speculation, fr. ? a spectator, ? to see, view. See Theater.]1. A doctrine, or scheme of things, which terminates in speculation or contemplation, without a view to practice; hypothesis; speculation. Note: "This word is employed by English writers in a very loose and improper sense. It is with them usually convertible into hypothesis, and hypothesis is commonly used as another term for conjecture. The terms theory and theoretical are properly used in opposition to the terms practice and practical. In this sense, they were exclusively employed by the ancients; and in this sense, they are almost exclusively employed by the Continental philosophers." --Sir W. Hamilton. 2. An exposition of the general or abstract principles of any science; as, the theory of music. 3. The science, as distinguished from the art; as, the theory and practice of medicine. 4. The philosophical explanation of phenomena, either physical or moral; as, Lavoisier's theory of combustion; Adam Smith's theory of moral sentiments. Atomic theory, Binary theory, etc. See under Atomic, Binary, etc. Syn: Hypothesis, speculation. Usage: Theory, Hypothesis. A theory is a scheme of the relations subsisting between the parts of a systematic whole; an hypothesis is a tentative conjecture respecting a cause of phenomena.