This page describes subnormal numbers in general. For the details of IEEE subnormal and denormal numbers, see the IEEE section below.
Denormalized floating-point numbers near zero
An unaugmented floating-point system would contain only normalized numbers (indicated in red). Allowing denormalized numbers (blue) extends the system's range.
In computer science, subnormal numbers are the subset of denormalized numbers (sometimes called denormals) that fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest positive normal number is subnormal, while denormal can also refer to numbers outside that range.
describes subnormal numbers in general. For the details of IEEE subnormal and denormal numbers, see the IEEE section below. In computer science, subnormal numbers...
mathematics Subnormalnumber, another name for a denormal number in floating point arithmetic Subnormal profit, which is negative profit (economics) Subnormal series...
of finite numbers (including signed zeros and subnormal numbers), infinities, and special "not a number" values (NaNs) interchange formats: encodings...
largest finite number in magnitude) or an arithmetic underflow (which would return the smallest normal number in magnitude, a subnormalnumber, or zero)....
the number of strict inclusions Ai < Ai +1. If the series has no repetition then the length is n. For a subnormal series, the length is the number of non-trivial...
Educationally subnormal was a term used historically in the United Kingdom to refer to children with very limited intellectual abilities. Throughout much...
the result is not a subnormalnumber). Many programming languages provide functions that can be used to divide a floating point number by a power of two...
most arithmetic operations are multiplication or division. Decibel Subnormalnumber Tapered floating point (TFP) Level-index arithmetic (LI) and symmetric...
Subnormality is a satirical and often absurdist webcomic by a cartoonist who uses the pseudonym Winston Rowntree. Rowntree is a former resident of Regina...
the underflow level (assuming subnormal numbers), it is closely related. The machine epsilon is dependent on the number of bits which make up the significand...
distinct concept is a chief series: a composition series is a maximal subnormal series, while a chief series is a maximal normal series. If a group G...
blood pressure and potential cardiac arrest. Rewarming can be done with a number of methods including passive external rewarming, active external rewarming...
tttttttttt tttttttttt s 10eeeeee (0)ttt tttttttttt tttttttttt This includes subnormal numbers where the leading significand digit is 0. If the 2 bits after...
_{4}} is not a normal subgroup. A group G is called solvable if it has a subnormal series whose factor groups (quotient groups) are all abelian, that is...
point numbers, which the standard float16 cannot do (without resorting to subnormal numbers) as it only has five bits for the exponent. In a 2023 court filing...
being Gilbert's daughter. Lennox, John C.; Stonehewer, Stewart E. (1987). Subnormal subgroups of groups. Oxford: Clarendon. ISBN 978-0-19-853552-2. ———; Gooding...
September 2012 at the Wayback Machine Subnormal Agglomerates 2010 Census: 11.4 million Brazilians (6.0%) live in subnormal Article Archived 11 October 2011...
− p + 1 {\displaystyle \operatorname {ulp} (x)=b^{e_{\min }-p+1}} for subnormals. Another definition, suggested by John Harrison, is slightly different:...
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