Quadruple-precision floating-point format: Difference between revisions

Revision as of 05:36, 2 January 2025

Revision as of 05:53, 2 January 2025

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{{Floating-point}}

{{Computer architecture bit widths}}

In [[computing]], '''quadruple precision''' (or '''quad precision''') is a binary [[Floating-point arithmetic|floating-point]]–based [[computer number format]] that occupies 16 bytes (128 bits) in memory and mostly provides 113 bits ~34 decimal digits of precision and an enormous range from 'denormal' 6.E-4966 over min-normal 3.3621031431120935062626778173217526E-4932 with full precision up to max 1.189731495357231765085759326628007E+4932.

InThe [[IEEEquadruple 754(base-2008]] the2, 128-bit base-2) format isin officiallythe referredstandard to[[IEEE 754]] is asnamed '''binary128'''.

== Purpose and use ==

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Beware: on nowadays common 64-bit hardware 128-bit computations are often '''significantly slower''' than smaller datatypes.

== Range and precision ==

binary128 mostly provides 113 bits ~34 decimal digits of precision and an enormous range from 'denormal' ±6.E-4966 over min-normal ±3.3621031431120935062626778173217526E-4932 with full precision up to max ±1.189731495357231765085759326628007E+4932.

== IEEE 754 quadruple-precision binary floating-point format: binary128 ==