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

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

half precision floating point data as NNP-Data-Type 1 (16-bit). bfloat16 floating-point format: Alternative 16-bit floating-point format with 8 bits of...

quadruple precision (or quad precision) is a binary floating-point–based computer number format that occupies 16 bytes (128 bits) with precision at least...

Single-precision floating-point format (sometimes called FP32 or float32) is a computer number format, usually occupying 32 bits in computer memory; it...

1/256. bfloat16 floating-point format Binade Coprocessor C99 for code examples demonstrating access and use of IEEE 754 features Floating-point arithmetic...

decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and binary32 formats, decimal32...

floating-point number formats that provide greater precision than the basic floating-point formats. Extended-precision formats support a basic format...

In computing, octuple precision is a binary floating-point-based computer number format that occupies 32 bytes (256 bits) in computer memory. This 256-bit...

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

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

In computing, Microsoft Binary Format (MBF) is a format for floating-point numbers which was used in Microsoft's BASIC languages, including MBASIC, GW-BASIC...

In computing, decimal128 is a decimal floating-point number format that occupies 128 bits in memory. Formally introduced in IEEE 754-2008, it is intended...

decimal floating-point computer number format that occupies 8 bytes (64 bits) in computer memory. Decimal64 is a decimal floating-point format, formally...

Microscaling (MX) formats are a type of Block Floating Point (BFP) data format specifically designed for AI and machine learning workloads. The MX format, endorsed...

Hexadecimal floating point (now called HFP by IBM) is a format for encoding floating-point numbers first introduced on the IBM System/360 computers, and...

a floating-point number) which is undefined as a number, such as the result of 0/0. Systematic use of NaNs was introduced by the IEEE 754 floating-point...

of peak performance, while TPU v5p claims over 4 exaflops in Bfloat16 floating-point format, however these units are highly specialized to run machine learning...

just be a signed number). Fixed-point arithmetic Half-precision floating-point format bfloat16 floating-point format G.711 A-Law Mocerino, Luca; Calimera...

least as precise as double. As with C's other floating-point types, it may not necessarily map to an IEEE format. The long double type was present in the original...

operating on the Bfloat16 numbers. An extension of the earlier F16C instruction set, adding comprehensive support for the binary16 floating-point numbers (also...

in the IEEE binary floating-point formats, but they do exist in some other formats, including the IEEE decimal floating-point formats. Some systems handle...

enhancements fell into these categories: General Matrix Multiply (GEMM). Bfloat16 format support. SIMD matrix manipulation instructions, BFDOT, BFMMLA, BFMLAL...

number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that...

delimited the value. Numbers can be stored in a fixed-point format, or in a floating-point format as a significand multiplied by an arbitrary exponent...

integer types; common floating-point data formats such as float32, float16, and bfloat16; and 1.56 bit quantization. This file format contains information...

The IEEE 754-2008 standard includes decimal floating-point number formats in which the significand and the exponent (and the payloads of NaNs) can be...

seen as a floating-point number with 4 bits of mantissa m (equivalent to a 5-bit precision), 3 bits of exponent e and 1 sign bit s, formatted as seeemmmm...

accurate representation. For example, two half-precision or bfloat16 (16-bit) floating-point numbers may be multiplied together to result in a more accurate...

the second-generation TPUs can also calculate in floating point, introducing the bfloat16 format invented by Google Brain. This makes the second-generation...