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Numbering format in Nvidia hardware
TensorFloat-32 (TF32) is a numeric floating point format designed for Tensor Core running on certain Nvidia GPUs. It was first implemented in the Ampere
TensorFloat-32
GPU microarchitecture designed by Nvidia
instructions, including the Smith–Waterman algorithm. Like Ampere, TensorFloat-32 (TF-32) arithmetic is supported. The mapping pattern for both architectures
Hopper_(microarchitecture)
GPU microarchitecture by Nvidia
GeForce 30 series Third-generation Tensor Cores with FP16, bfloat16, TensorFloat-32 (TF32) and FP64 support and sparsity acceleration. The individual Tensor
Ampere_(microarchitecture)
32-bit computer number format
called FP32, float32, or float) is a computer number format, usually occupying 32 bits in computer memory; it represents a wide range of numeric values by using
Single-precision floating-point format
Single-precision_floating-point_format
Floating-point number format used in computer processors
floating 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
Bfloat16 floating-point format
Bfloat16_floating-point_format
Computer approximation for real numbers
learning accelerators provide hardware support for this format. The TensorFloat-32 format combines the 8 bits of exponent of the bfloat16 with the 10 bits
Floating-point_arithmetic
IEEE standard for floating-point arithmetic
floating-point numbers, interchange formats of length 16 bits, 32 bits, 64 bits, and any multiple of 32 bits ≥ 128 are defined. The 16-bit format is intended for
IEEE_754
16-bit computer number format
DSP of 1982 (a 4-bit exponent and a 12-bit mantissa), the top 16 bits of a 32-bit float (8 exponent and 7 mantissa bits) called a bfloat16, and Thomas J
Half-precision floating-point format
Half-precision_floating-point_format
64-bit computer number format
754-1985. IEEE 754 specifies additional floating-point formats, including 32-bit base-2 single precision and, more recently, base-10 representations (decimal
Double-precision floating-point format
Double-precision_floating-point_format
GPU microarchitecture by Nvidia
regular N4 node 4th-generation Tensor Cores with FP8, FP16, bfloat16, TensorFloat-32 (TF32) and sparsity acceleration 3rd-generation Ray Tracing Cores, plus
Ada Lovelace (microarchitecture)
Ada_Lovelace_(microarchitecture)
Method in computer arithmetic
data formats for AI. The MX format contains a block of k (usually set to 32) elements, each being d bits long. These elements share a scaling factor of
Block_floating_point
GPU microarchitecture by Nvidia
cores per SM; Kepler had 192, Fermi 32 and Tesla 8. The GP100 SM is partitioned into two processing blocks, each having 32 single-precision CUDA cores, an
Pascal_(microarchitecture)
High-performance computing socket
dense tensor FP16 (TFLOPS) FP16 dense tensor bfloat16 dense tensor TensorFloat-32 (TF32) dense tensor FP64 dense tensor Interconnect (NVLink; TB/sec)
SXM_(socket)
Floating-point data type in C family languages
arithmetic (Annex F)). An exception is Microsoft Visual C++ for x86 (starting at 32-bit versions), which makes long double a synonym for double. The Intel C++
Long_double
The bits shown in parentheses are implicit: they are not included in the 32 bits of the Decimal32 encoding, but are implied by the two bits after the
Binary_integer_decimal
Series of GPUs by Nvidia
SM on Ampere GPUs Third-generation Tensor Cores with FP16, bfloat16, TensorFloat-32 (TF32) and sparsity acceleration Second-generation Ray Tracing Cores
GeForce_RTX_30_series
Series of GPUs by Nvidia
confused with N4 Fourth-generation Tensor Cores with FP8, FP16, bfloat16, TensorFloat-32 (TF32) and sparsity acceleration Third-generation Ray Tracing Cores
GeForce_RTX_40_series
256-bit computer number format
precision is a binary floating-point-based computer number format that occupies 32 bytes (256 bits) in computer memory. This 256-bit octuple precision is for
Octuple-precision floating-point format
Octuple-precision_floating-point_format
GPU microarchitecture by Nvidia
dense tensor FP16 (TFLOPS) FP16 dense tensor bfloat16 dense tensor TensorFloat-32 (TF32) dense tensor FP64 dense tensor Interconnect (NVLink; TB/sec)
Volta_(microarchitecture)
Value for unrepresentable data
for those distinct NaN values). For example, an IEEE 754 single precision (32-bit) NaN would be encoded as s111 1111 1xxx xxxx xxxx xxxx xxxx xxxx where
NaN
128-bit computer number format
instruction set, operating on a separate register file that provides 32 single-precision (32-bit), 32 double-precision (64-bit), 16 quad-precision (128-bit) registers
Quadruple-precision floating-point format
Quadruple-precision_floating-point_format
ITU-T recommendation
256-bit: Octuple (binary256) Extended precision Other Minifloat bfloat16 TensorFloat-32 Microsoft Binary Format IBM hexadecimal floating-point PMBus Linear-11
G.711
Denormalized floating-point numbers near zero
Casey, Shawn (16 October 2008). "x87 and SSE Floating Point Assists in IA-32: Flush-To-Zero (FTZ) and Denormals-Are-Zero (DAZ)". Retrieved 3 September
Subnormal_number
Floating-point values coded as few bits
IEEE 754 numbers. Depending on context minifloat may mean any size less than 32, any size less or equal to 16, or any size less than 16. The term microfloat
Minifloat
IEEE standard for radix-independent floating-point arithmetic
256-bit: Octuple (binary256) Extended precision Other Minifloat bfloat16 TensorFloat-32 Microsoft Binary Format IBM hexadecimal floating-point PMBus Linear-11
IEEE_854-1987
Calculations where numbers' precision is only limited by computer memory
process for output), or, with sufficiently wide computer variables (such as 32-bit integers) we could use larger bases, such as 10000. Working in a power-of-2
Arbitrary-precision arithmetic
Arbitrary-precision_arithmetic
Floating-point number format by Microsoft
version was designed for memory-constrained systems and stored numbers in 32 bits (4 bytes), with a 23-bit mantissa, 1-bit sign, and an 8-bit exponent
Microsoft_Binary_Format
128-bit computer number format
most significant 2 bits of the exponent (3 possible values) to use 30 of the 32 possible values of 5 bits in the combination field. The remaining combinations
Decimal128 floating-point format
Decimal128_floating-point_format
Floating-point number formats
while extended-precision utilizes a 32-bit two's complement significand. The latter format makes full use of the CPU's 32-bit integer operations. The characteristic
Extended_precision
Number type in floating-point arithmetic
256-bit: Octuple (binary256) Extended precision Other Minifloat bfloat16 TensorFloat-32 Microsoft Binary Format IBM hexadecimal floating-point PMBus Linear-11
Normal_number_(computing)
Number representation
16exponent−64. A single-precision HFP number (called "short" by IBM) is stored in a 32-bit word: In this format the initial bit is not suppressed, and the radix
IBM hexadecimal floating-point
IBM_hexadecimal_floating-point
64-bit computer number format
combined with two bits of the exponent (3 possible values) to use 30 of the 32 possible values of a 5-bit field. The remaining combinations encode infinities
Decimal64 floating-point format
Decimal64_floating-point_format
32-bit computer number format
a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and binary32 formats, decimal32
Decimal32 floating-point format
Decimal32_floating-point_format
Decimal representation of real numbers in computing
SPARC processors with DFP in hardware. The IEEE 754-2008 standard defines 32-, 64- and 128-bit decimal floating-point representations. Like the binary
Decimal_floating_point
TENSORFLOAT 32
TENSORFLOAT 32
Surname or Lastname
English
English : from a personal name that was popular throughout Christendom in the Middle Ages. The Greek original, Grēgorios, is a derivative of grēgorein ‘to be awake’, ‘to be watchful’. However, the Latin form, Gregorius, came to be associated by folk etymology with grex, gregis, ‘flock’, ‘herd’, under the influence of the Christian image of the good shepherd. The Greek name was borne in the early Christian centuries by two fathers of the Orthodox Church, St. Gregory Nazianzene (c. 325–390) and St. Gregory of Nyssa (c. 331–395), and later by sixteen popes, starting with Gregory the Great (c. 540–604). It was also the name of 3rd- and 4th-century apostles of Armenia. In North America the English form of the name has absorbed many cognates from other European languages. (For forms, see Hanks and Hodges 1988).
TENSORFLOAT 32
TENSORFLOAT 32
Boy/Male
Indian, Telugu
Lord Vishnu
Female
Hebrew
(× Ö´×¡Ö¸×”) Variant spelling of Hebrew Nisa, NISSA means "to test."
Male
Italian
Italian form of Roman Latin Attilius, possibly ATTILIO means "father."
Girl/Female
Arabic, Muslim
Beauty; Pretty
Girl/Female
African, Arabic, Bengali, Indian, Kannada, Muslim, Sindhi
Witty; One who has Pleasant Dreams; Imaginative; She with the Beauty of Dreams; Dreams
Female
English
 English variant spelling of Hebrew Leah, LEIA means "weary." Compare with another form of Leia.
Surname or Lastname
English
English : unexplained.South German : variant of Walli, from a short form of any Germanic personal name formed with Old High German waltan ‘to rule’ as a first part, as in Walter.
Boy/Male
Hindu, Indian
Leader
Girl/Female
American, Australian, British, English, German, Hebrew
God is Gracious; Female Version of John
Boy/Male
Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit, Telugu, Traditional
Fragrance; S a Light of Success; Gentle Smell; Sweet Fragrance
TENSORFLOAT 32
TENSORFLOAT 32
TENSORFLOAT 32
TENSORFLOAT 32
TENSORFLOAT 32
n.
A certain measure of distance, being equivalent in England and the United States to 320 poles or rods, or 5,280 feet.
n.
The fringe of teeth around the orifice of the capsule of mosses. It consists of 4, 8, 16, 32, or 64 teeth, and may be either single or double.
n.
The fifth power of a number; as, a/ is the sursolid of a, or 32 that of 2.
n.
A measure of length, equal to a hundred meters. It is equivalent to 328.09 feet.
a.
Of or pertaining to Nice, a town of Asia Minor, or to the ecumenial council held there A. D. 325.
n.
That comparative quantity by weight of an element which possesses the same chemical value as other elements, as determined by actual experiment and reference to the same standard. Specifically: (a) The comparative proportions by which one element replaces another in any particular compound; thus, as zinc replaces hydrogen in hydrochloric acid, their equivalents are 32.5 and 1. (b) The combining proportion by weight of a substance, or the number expressing this proportion, in any particular compound; as, the equivalents of hydrogen and oxygen in water are respectively 1 and 8, and in hydric dioxide 1 and 16.
n.
A measure of capacity equal to a cubic meter, or a thousand liters. It is equivalent to 35.315 cubic feet, and to 220.04 imperial gallons, or 264.18 American gallons of 321 cubic inches.
n.
A Spanish weight used in Mexico and South America = 25.36 lbs. avoir.; also, an old Portuguese weight, used in Brazil = 32.38 lbs. avoir.
n.
A Greek Cynic philosopher (412?-323 B. C.) who lived much in Athens and was distinguished for contempt of the common aims and conditions of life, and for sharp, caustic sayings.
n.
A book composed of sheets so folded that each one makes thirty-two leaves; hence, indicating, more or less definitely, a size of book; -- usually written 32mo, or 32¡, and called thirty-twomo.
a.
Of or pertaining to Aristotle, the famous Greek philosopher (384-322 b. c.).
n.
An instrument used to illustrate the freezing of water by its own evaporation. The ordinary form consists of two glass bulbs, connected by a tube of the same material, and containing only a quantity of water and its vapor, devoid of air. The water is in one of the bulbs, and freezes when the other is cooled below 32¡ Fahr.
a.
Of or in the Christian church or era, anterior to the first council of Nice, held a. d. 325; as, antenicene faith.
n.
A nonmetallic element occurring naturally in large quantities, either combined as in the sulphides (as pyrites) and sulphates (as gypsum), or native in volcanic regions, in vast beds mixed with gypsum and various earthy materials, from which it is melted out. Symbol S. Atomic weight 32. The specific gravity of ordinary octohedral sulphur is 2.05; of prismatic sulphur, 1.96.