
related topics 
{math, number, function} 
{system, computer, user} 
{rate, high, increase} 
{@card@, make, design} 

The first IEEE Standard for Binary FloatingPoint Arithmetic (IEEE 7541985) set the standard for floatingpoint computation for 23 years. It became the most widelyused standard for floatingpoint computation, and is followed by many CPU and FPU implementations. Its binary floatingpoint formats and arithmetic are preserved in the new IEEE 7542008 standard which replaced it.
The 7541985 standard defines formats for representing floatingpoint numbers (including negative zero and denormal numbers) and special values (infinities and NaNs) together with a set of floatingpoint operations that operate on these values. It also specifies four rounding modes and five exceptions (including when the exceptions occur, and what happens when they do occur).
Contents
Summary
IEEE 7541985 specifies four formats for representing floatingpoint values: singleprecision (32bit), doubleprecision (64bit), singleextended precision (≥ 43bit, not commonly used) and doubleextended precision (≥ 79bit, usually implemented with 80 bits). Only 32bit values are required by the standard; the others are optional. Many languages specify that IEEE formats and arithmetic be implemented, although sometimes it is optional. For example, the C programming language, which predated IEEE 754, now allows but does not require IEEE arithmetic (the C float typically is used for IEEE singleprecision and double uses IEEE doubleprecision).
Full article ▸


related documents 
Sequence 
Ideal class group 
Elliptic curve 
Gaussian quadrature 
Natural transformation 
Linear combination 
Algebraic structure 
Absolute convergence 
Partition (number theory) 
E (mathematical constant) 
Ultrafilter 
Galois theory 
Random variable 
Complex analysis 
Abstract interpretation 
Exclusive or 
Database normalization 
Countable set 
Binary relation 
Fuzzy logic 
Filter (mathematics) 
Pushdown automaton 
Modular arithmetic 
Axiom schema of replacement 
Presentation of a group 
Heine–Borel theorem 
Semigroup 
XPath 1.0 
Euclidean algorithm 
Glossary of topology 
