The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally established in 1985 by the...

IEEE 754-1985 is a historic industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by...

IEEE 754-2008 (previously known as IEEE 754r) is a revision of the IEEE 754 standard for floating-point arithmetic. It was published in August 2008 and...

"trap" in IEEE 754 terminology.) Here, the required default method of handling exceptions according to IEEE 754 is discussed (the IEEE 754 optional trapping...

n ≤ 127, can be converted exactly into an IEEE 754 single-precision floating-point value. In the IEEE 754 standard, the 32-bit base-2 format is officially...

insufficient. In the IEEE 754 standard, the 64-bit base-2 format is officially referred to as binary64; it was called double in IEEE 754-1985. IEEE 754 specifies...

such as the result of 0/0. Systematic use of NaNs was introduced by the IEEE 754 floating-point standard in 1985, along with the representation of other...

condition, saves state, and switches control. Exception handling in the IEEE 754 floating-point standard refers in general to exceptional conditions and...

image processing and neural networks. Almost all modern uses follow the IEEE 754-2008 standard, where the 16-bit base-2 format is referred to as binary16...

wider precision was already in view when IEEE Standard 754 for Floating-Point Arithmetic was framed." In IEEE 754-2008 the 128-bit base-2 format is officially...

implementations make better use of available computer hardware, such as IEEE 754-1985 floating-point arithmetic, and compiler technology. The C11 version...

of IEEE 754. In casual discussions the terms subnormal and denormal are often used interchangeably, in part because there are no denormalized IEEE binary...

Motorola 68881 80-bit formats meet the requirements of the IEEE 754-1985 double extended format, as does the IEEE 754 128-bit binary format. The x86 extended-precision...

radix point. This format is a shortened (16-bit) version of the 32-bit IEEE 754 single-precision floating-point format (binary32) with the intent of accelerating...

DFP coprocessor. IEEE 754-2008 defines this in more detail. Fujitsu also has 64-bit Sparc processors with DFP in hardware. The IEEE 754-2008 standard defines...

usually encoded as +0, but can still be represented by +0, −0, or 0. The IEEE 754 standard for floating-point arithmetic (presently used by most computers...

universe or precisions better than planck units. In its 2008 revision, the IEEE 754 standard specifies a binary256 format among the interchange formats (it...

10. IEEE 854 did not specify any data formats, whereas IEEE 754-1985 did specify formats for binary (radix 2) floating point. IEEE 754-1985 and IEEE 854-1987...

creating the original IEEE 754 specification. Kahan continued his contributions to the IEEE 754 revision that led to the current IEEE 754 standard. In the...

intended to be application-compatible with System/360. In comparison to IEEE 754 floating point, the HFP format has a longer significand, and a shorter...

the other names mentioned are common, significand is the word used by IEEE 754, an important technical standard for floating-point arithmetic. In mathematics...

included on the 1981 IBM PC motherboard. Development of the 8087 led to the IEEE 754-1985 standard for floating-point arithmetic. The available speed version...

normal 32 bit IEEE 754 floating point number, provides much faster computation, up to 8 times on a A100 (compared to a V100 using FP32). IEEE 754 https://deeprec...

the power functions for the revision of the IEEE 754 standard, May 2007.) "Re: A vague specification". IEEE. Archived from the original on 2017-11-14....

was used as a modifier that restricted floating-point calculations to IEEE 754 semantics to ensure portability. The strictfp keyword was introduced into...

Electrical and Electronics Engineers Standards Association (IEEE SA) is an operating unit within IEEE that develops global standards in a broad range of industries...

demonstrate the properties and structures of floating-point arithmetic and IEEE 754 numbers. Minifloats with 16 bits are half-precision numbers (opposed to...

using channel commands and, in later models, added instructions to perform IEEE 754 floating-point operations and increased the number of floating-point registers...

the square root of a 32-bit floating-point number x {\displaystyle x} in IEEE 754 floating-point format. The algorithm is best known for its implementation...

rounding, or bankers' rounding. This is the default rounding mode used in IEEE 754 operations for results in binary floating-point formats. By eliminating...