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- Floating_point abstract "In computing, floating point describes a method of representing an approximation of a real number in a way that can support a wide range of values. The numbers are, in general, represented approximately to a fixed number of significant digits (the significand) and scaled using an exponent. The base for the scaling is normally 2, 10 or 16. The typical number that can be represented exactly is of the form:Significant digits × baseexponentThe idea of floating-point representation over intrinsically integer fixed-point numbers, which consist purely of significand, is that expanding it with the exponent component achieves greater range. For instance, to represent large values, e.g. distances between galaxies, there is no need to keep all 39 decimal places down to femtometre-resolution (employed in particle physics). Assuming that the best resolution is in light years, only the 9 most significant decimal digits matter, whereas the remaining 30 digits carry pure noise, and thus can be safely dropped. This represents a savings of 100 bits of computer data storage. Instead of these 100 bits, much fewer are used to represent the scale (the exponent), e.g. 8 bits or 2 decimal digits. Given that one number can encode both astronomic and subatomic distances with the same nine digits of accuracy, but because a 9-digit number is 100 times less accurate than the 11 digits reserved for scale, this is considered a trade-off exchanging range for precision. The example of using scaling to extend the dynamic range reveals another contrast with fixed-point numbers: Floating-point values are not uniformly spaced. Small values, close to zero, can be represented with much higher resolution (e.g. one femtometre) than large ones because a greater scale (e.g. light years) must be selected for encoding significantly larger values. That is, floating-point numbers cannot represent point coordinates with atomic accuracy at galactic distances, only close to the origin.The term floating point refers to the fact that a number's radix point (decimal point, or, more commonly in computers, binary point) can "float"; that is, it can be placed anywhere relative to the significant digits of the number. This position is indicated as the exponent component in the internal representation, and floating point can thus be thought of as a computer realization of scientific notation.Over the years, a variety of floating-point representations have been used in computers. However, since the 1990s, the most commonly encountered representation is that defined by the IEEE 754 Standard.The speed of floating-point operations, commonly referred to in performance measurements as FLOPS, is an important characteristic of a computer system, especially in software that performs large-scale mathematical calculations.".
- Floating_point thumbnail Z3_Deutsches_Museum.JPG?width=300.
- Floating_point wikiPageExternalLink ncg_goldberg.html.
- Floating_point wikiPageExternalLink en.
- Floating_point wikiPageExternalLink aa289157(v=vs.71).aspx.
- Floating_point wikiPageExternalLink JAVAhurt.pdf.
- Floating_point wikiPageExternalLink floatformats.html.
- Floating_point wikiPageExternalLink www.opencores.org.
- Floating_point wikiPageID "11376".
- Floating_point wikiPageRevisionID "606590199".
- Floating_point hasPhotoCollection Floating_point.
- Floating_point subject Category:Computer_arithmetic.
- Floating_point subject Category:Data_types.
- Floating_point subject Category:Primitive_types.
- Floating_point comment "In computing, floating point describes a method of representing an approximation of a real number in a way that can support a wide range of values. The numbers are, in general, represented approximately to a fixed number of significant digits (the significand) and scaled using an exponent. The base for the scaling is normally 2, 10 or 16.".
- Floating_point label "Coma flotante".
- Floating_point label "Floating point".
- Floating_point label "Gleitkommazahl".
- Floating_point label "Liczba zmiennoprzecinkowa".
- Floating_point label "Numero in virgola mobile".
- Floating_point label "Ponto flutuante".
- Floating_point label "Virgule flottante".
- Floating_point label "Zwevendekommagetal".
- Floating_point label "Число с плавающей запятой".
- Floating_point label "عدد فاصل عائم".
- Floating_point label "浮動小数点数".
- Floating_point label "浮点数".
- Floating_point sameAs Pohyblivá_řádová_čárka.
- Floating_point sameAs Gleitkommazahl.
- Floating_point sameAs Coma_flotante.
- Floating_point sameAs Virgule_flottante.
- Floating_point sameAs Floating-point.
- Floating_point sameAs Numero_in_virgola_mobile.
- Floating_point sameAs 浮動小数点数.
- Floating_point sameAs 부동소수점.
- Floating_point sameAs Zwevendekommagetal.
- Floating_point sameAs Liczba_zmiennoprzecinkowa.
- Floating_point sameAs Ponto_flutuante.
- Floating_point sameAs m.030r7.
- Floating_point sameAs Q117879.
- Floating_point sameAs Q117879.
- Floating_point wasDerivedFrom Floating_point?oldid=606590199.
- Floating_point depiction Z3_Deutsches_Museum.JPG.
- Floating_point isPrimaryTopicOf Floating_point.
