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- Denormal_number abstract "In computer science, denormal numbers or denormalized numbers (now often called subnormal numbers) fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest normal number is 'subnormal'.In a normal floating-point value, there are no leading zeros in the significand; instead leading zeros are moved to the exponent. So 0.0123 would be written as 1.23 × 10−2. Denormal numbers are numbers where this representation would result in an exponent that is below the minimum exponent (the exponent usually having a limited range).Such numbers are represented using leading zeros in the significand.The significand (or mantissa) of an IEEE floating point number is the part of a floating-point number that represents the significant digits. For a positive normalised number it can be represented as m0.m1m2m3...mp-2mp-1 (where m represents a significant digit and p is the precision, and m0 is non-zero). Notice that for a binary radix, the leading binary digit is always 1. In a denormal number, since the exponent is the least that it can be, zero is the leading significand digit (0.m1m2m3...mp-2mp-1), allowing the representation of numbers closer to zero than the smallest normal number.By filling the underflow gap like this, significant digits are lost, but not as abruptly as when using the flush to zero on underflow approach (discarding all significant digits when underflow is reached). Hence the production of a denormal number is sometimes called gradual underflow because it allows a calculation to lose precision slowly when the result is small.In IEEE 754-2008, denormal numbers are renamed subnormal numbers, and are supported in both binary and decimal formats. In binary interchange formats, subnormal numbers are encoded with a biased exponent of 0, but are interpreted with the value of the smallest allowed exponent, which is one greater (i.e., as if it were encoded as a 1). In decimal interchange formats they require no special encoding because the format supports unnormalized numbers directly.Mathematically speaking, the normalized floating point numbers of a given sign are roughly logarithmically spaced, and as such any finite-sized normal float cannot include zero. The denormal floats are a linearly-spaced set of values which span the gap between the negative and positive normal floats.".
- Denormal_number thumbnail Denormalized_numbers_on_a_line.svg?width=300.
- Denormal_number wikiPageExternalLink ~wkahan.
- Denormal_number wikiPageExternalLink arith16.
- Denormal_number wikiPageExternalLink ARITH16_Schwarz.pdf.
- Denormal_number wikiPageID "141163".
- Denormal_number wikiPageLength "11882".
- Denormal_number wikiPageOutDegree "33".
- Denormal_number wikiPageRevisionID "705882387".
- Denormal_number wikiPageWikiLink 0_(number).
- Denormal_number wikiPageWikiLink Arithmetic_underflow.
- Denormal_number wikiPageWikiLink Asymptote.
- Denormal_number wikiPageWikiLink C99.
- Denormal_number wikiPageWikiLink Category:Computer_arithmetic.
- Denormal_number wikiPageWikiLink Clang.
- Denormal_number wikiPageWikiLink Computer_science.
- Denormal_number wikiPageWikiLink Division_by_zero.
- Denormal_number wikiPageWikiLink Exponent_bias.
- Denormal_number wikiPageWikiLink File:Denormalized_numbers_on_a_line.svg.
- Denormal_number wikiPageWikiLink Floating-point_unit.
- Denormal_number wikiPageWikiLink Floating_point.
- Denormal_number wikiPageWikiLink GNU_Compiler_Collection.
- Denormal_number wikiPageWikiLink Grand_Central_Dispatch.
- Denormal_number wikiPageWikiLink IEEE_Computer_Society.
- Denormal_number wikiPageWikiLink IEEE_floating_point.
- Denormal_number wikiPageWikiLink Instruction_set.
- Denormal_number wikiPageWikiLink Intel.
- Denormal_number wikiPageWikiLink Intel_8087.
- Denormal_number wikiPageWikiLink Logarithm.
- Denormal_number wikiPageWikiLink Logarithmic_number_system.
- Denormal_number wikiPageWikiLink Magnitude_(mathematics).
- Denormal_number wikiPageWikiLink Normal_number_(computing).
- Denormal_number wikiPageWikiLink OS_X.
- Denormal_number wikiPageWikiLink Radix.
- Denormal_number wikiPageWikiLink Side-channel_attack.
- Denormal_number wikiPageWikiLink Sign_(mathematics).
- Denormal_number wikiPageWikiLink Significand.
- Denormal_number wikiPageWikiLink Streaming_SIMD_Extensions.
- Denormal_number wikiPageWikiLink William_Kahan.
- Denormal_number wikiPageWikiLinkText "Denormal number".
- Denormal_number wikiPageWikiLinkText "Denormal_number".
- Denormal_number wikiPageWikiLinkText "Subnormals".
- Denormal_number wikiPageWikiLinkText "denormal number".
- Denormal_number wikiPageWikiLinkText "denormal".
- Denormal_number wikiPageWikiLinkText "denormalization".
- Denormal_number wikiPageWikiLinkText "denormalized number".
- Denormal_number wikiPageWikiLinkText "denormalized".
- Denormal_number wikiPageWikiLinkText "denorms".
- Denormal_number wikiPageWikiLinkText "subnormal floating point numbers".
- Denormal_number wikiPageWikiLinkText "subnormals".
- Denormal_number wikiPageUsesTemplate Template:Cite_conference.
- Denormal_number wikiPageUsesTemplate Template:Floating-point.
- Denormal_number wikiPageUsesTemplate Template:Reflist.
- Denormal_number subject Category:Computer_arithmetic.
- Denormal_number comment "In computer science, denormal numbers or denormalized numbers (now often called subnormal numbers) fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest normal number is 'subnormal'.In a normal floating-point value, there are no leading zeros in the significand; instead leading zeros are moved to the exponent. So 0.0123 would be written as 1.23 × 10−2.".
- Denormal_number label "Denormal number".
- Denormal_number sameAs Q1070094.
- Denormal_number sameAs Número_subnormal.
- Denormal_number sameAs Nombre_dénormalisé.
- Denormal_number sameAs Numeri_denormalizzati.
- Denormal_number sameAs 非正規化数.
- Denormal_number sameAs 비정상_값.
- Denormal_number sameAs m.011nc0.
- Denormal_number sameAs Денормализованные_числа.
- Denormal_number sameAs Денормалізовані_числа.
- Denormal_number sameAs Q1070094.
- Denormal_number wasDerivedFrom Denormal_number?oldid=705882387.
- Denormal_number depiction Denormalized_numbers_on_a_line.svg.
- Denormal_number isPrimaryTopicOf Denormal_number.