In computing, floating-point arithmetic (FP) is arithmetic on subsets of real numbers formed by a signed string of a fixed number of digits in some base...

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

Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory;...

hardware Integrated FPU (in hardware) In 1954, the IBM 704 had floating-point arithmetic as a standard feature, one of its major improvements over its...

754 floating-point standard noted, "For now the 10-byte Extended format is a tolerable compromise between the value of extra-precise arithmetic and the...

Zuse in 1936, was the first computer with floating-point arithmetic and was thus susceptible to floating-point error. Early computers, however, with operation...

computing, half precision (sometimes called FP16 or float16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers)...

Language-independent arithmetic Primitive data type Scientific notation Crandall, Richard E.; Papadopoulos, Jason S. (2002-05-08). "Octuple-precision floating point on...

Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal...

included IEEE binary floating-point units which conform to the IEEE 754 Standard for Floating-Point Arithmetic. IEEE decimal floating-point was added to IBM...

the word used by IEEE 754, an important technical standard for floating-point arithmetic. In mathematics, the term "argument" may also be ambiguous, since...

numeric values by using a floating radix point. A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit...

Floating-point arithmetic is needed for very large or very small real numbers, or computations that require a large dynamic range. Floating-point representation...

design that incorporate a floating-point unit (FPU). The Intel 8087 was the first x86 device which supported floating-point arithmetic in hardware. It was designed...

performs arithmetic in x86 80-bit floating-point and then rounds the result to IEEE 754 binary64 floating-point. Compared with the fixed-point number system...

The term arithmetic underflow (also floating point underflow, or just underflow) is a condition in a computer program where the result of a calculation...

and symbolic computation or other extensions to basic floating-point arithmetic. In floating-point calculations, NaN is not the same as infinity, although...

fixed-point arithmetic, as the systems lack hardware floating-point units. The PlayStation transformation coprocessor supports 16-bit fixed point with...

two). However, floating-point numbers have only a certain amount of mathematical precision. That is, digital floating-point arithmetic is generally not...

Single precision (4FMAPS) – vector instructions for deep learning, floating point, single precision. VPOPCNTDQ:  Vector population count instruction....

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

exponent = all 1 bits. fraction = all 0 bits. Some operations of floating-point arithmetic are invalid, such as taking the square root of a negative number...

The bfloat16 (brain floating point) floating-point format is a computer number format occupying 16 bits in computer memory; it represents a wide dynamic...

arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations...

Mixed-precision arithmetic is a form of floating-point arithmetic that uses numbers with varying widths in a single operation. A common usage of mixed-precision...

Radix-Independent Floating-Point Arithmetic (IEEE 854), was the first Institute of Electrical and Electronics Engineers (IEEE) international standard for floating-point...

behavior is that certain laws of arithmetic are violated by floating-point arithmetic. For example, floating-point addition is not associative since...

754 standard for floating-point arithmetic (presently used by most computers and programming languages that support floating-point numbers) requires...

Gustafson proposed the Unum number system, a variant of tapered floating-point arithmetic with an exact bit added to the representation and some interval...

In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and...