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Computer approximation for real numbers
1/3 = 0.3333… is not a floating-point number in base ten with any finite number of digits. In practice, most floating-point systems use base two, though
Floating-point_arithmetic
American computer hardware manufacturer (1970–1991)
Floating Point Systems, Inc. (FPS), was a Beaverton, Oregon vendor of attached array processors and minisupercomputers. The company was founded in 1970
Floating_Point_Systems
64-bit computer number format
Double-precision floating-point format (sometimes called FP64 or float64) is a floating-point number format, usually occupying 64 bits in computer memory;
Double-precision floating-point format
Double-precision_floating-point_format
Part of a computer system
A floating-point unit (FPU), numeric processing unit (NPU), colloquially math coprocessor, is a part of a computer system specially designed to carry
Floating-point_unit
Topics referred to by the same term
refer to: Floating Point, a jazz music album by John McLaughlin Floating Points, a British electronic music DJ and producer Floating Point Systems, an Oregon-based
Floating point (disambiguation)
Floating_point_(disambiguation)
Soviet ternary computer
interpreters—IP-2 (floating-point, 8 decimal digits), IP-3 (floating-point, 6 decimal digits), IP-4 (complex numbers, 8 decimal digits), IP-5 (floating-point, 12 decimal
Setun
Strategies to make sure approximate calculations stay close to accurate
Floating-point error mitigation is the minimization of errors caused by the fact that real numbers cannot, in general, be accurately represented in a fixed
Floating-point error mitigation
Floating-point_error_mitigation
IEEE standard for floating-point arithmetic
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
Variant of floating-point numbers in computers
In computing, tapered floating point (TFP) is a format similar to floating point, but with variable-sized entries for the significand and exponent instead
Tapered_floating_point
Decimal representation of real numbers in computing
Decimal floating-point (DFP) arithmetic refers to both a representation and operations on decimal floating-point numbers. Working directly with decimal
Decimal_floating_point
Measure of computer performance
Floating point operations per second (FLOPS, flops or flop/s) is a measure of computer performance or compute in computing, useful in fields of scientific
Floating point operations per second
Floating_point_operations_per_second
32-bit computer number format
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
Single-precision floating-point format
Single-precision_floating-point_format
128-bit computer number format
In computing, quadruple precision (or quad precision) is a binary floating-point–based computer number format that occupies 16 bytes (128 bits) with precision
Quadruple-precision floating-point format
Quadruple-precision_floating-point_format
Number representation
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
IBM hexadecimal floating-point
IBM_hexadecimal_floating-point
Method in computer arithmetic
Block floating point (BFP) is a method used to provide an arithmetic approaching floating point while using a fixed-point processor. BFP assigns a group
Block_floating_point
16-bit computer number format
Half precision (sometimes called FP16 or float16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers)
Half-precision floating-point format
Half-precision_floating-point_format
perform IEEE 754 binary floating-point operations and increased the number of floating-point registers from 4 to 16. Enterprise Systems Architecture is essentially
IBM Enterprise Systems Architecture
IBM_Enterprise_Systems_Architecture
Floating bridge carrying a freeway in Seattle, Washington
The Evergreen Point Floating Bridge, also known as the 520 Bridge and officially the Governor Albert D. Rosellini Bridge, is a floating bridge that carries
Evergreen Point Floating Bridge
Evergreen_Point_Floating_Bridge
Denormalized floating-point numbers near zero
IEEE binary floating-point formats, but they do exist in some other formats, including the IEEE decimal floating-point formats. Some systems handle subnormal
Subnormal_number
128-bit computer number format
computing, decimal128 is a decimal floating-point number format defined by the IEEE 754 Standard for Floating-Point Arithmetic. It is one of the standard's
Decimal128 floating-point format
Decimal128_floating-point_format
American minisupercomputer manufacturer (1983–1988)
selloffs: Floating Point Systems sold to Cray in 1991; Cray sold to Silicon Graphics in 1996; and Silicon Graphics sold their Cray Business Systems Division
Celerity_Computing
Base-4 numeral system
Retrieved 18 August 2019. [...] Systems such as the [Digital Field System] DFS IV and DFS V were quaternary floating-point systems and used gain steps of 12 dB
Quaternary_numeral_system
64-bit computer number format
In computing, decimal64 is a decimal floating-point computer number format that occupies 8 bytes (64 bits) in computer memory. The format was formally
Decimal64 floating-point format
Decimal64_floating-point_format
peripheral equipment needed and used for full or mostly full operation. Such systems may constitute personal computers (including desktop computers, portable
List of computer system manufacturers
List_of_computer_system_manufacturers
American test and measurement devices company
Graphics, Planar Systems, Floating Point Systems, Cascade Microtech, Merix Corporation, Anthro Corporation and Northwest Instrument Systems (NWIS) – later
Tektronix
Part of a number in scientific notation
(left) part of a number in scientific notation or related concepts in floating-point representation, consisting of its significant digits. For negative numbers
Significand
Computer programming condition
The term arithmetic underflow (also floating-point underflow, or just underflow) is a condition in a computer program where the result of a calculation
Arithmetic_underflow
Short-lived class of computers
Sutherland Flexible Computer Floating Point Systems (founded 1970; acquired by Cray Research in 1991) Guiltech/SAXPY HAL Computer Systems (Closed in 2001) ICL
Minisupercomputer
Value for unrepresentable data
Not a Number, is a particular value of a numeric data type (often a floating-point number) which is undefined as a number, such as the result of 0 0 {\displaystyle
NaN
Floating-point number formats
Extended precision refers to floating-point number formats that provide greater precision than the basic floating-point formats. Extended-precision formats
Extended_precision
Index of articles associated with the same name
Hexadecimal floating point may refer to: IBM hexadecimal floating point in the IBM System 360 and 370 series of computers and others since 1964 Hexadecimal
Hexadecimal_floating_point
Canadian cryptologic agency
S-MP superserver after Cray acquired Floating Point Systems in December 1991 and used the Folklore Operating System supplied by the NSA in the US. These
Communications Security Establishment
Communications_Security_Establishment
Root-finding algorithm
inverse) of 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
Fast_inverse_square_root
American engineer and businessman
in the Portland metropolitan area. He founded or helped to found Floating Point Systems, Lattice Semiconductor, and Thrustmaster. Winningstad and his wife
Norm_Winningstad
Exact floating-point subtraction theorem
In floating-point arithmetic, the Sterbenz lemma or Sterbenz's lemma is a theorem giving conditions under which floating-point differences are computed
Sterbenz_lemma
Computer floating-point unit
The Motorola 68881 and Motorola 68882 are floating-point units (FPUs) used in some computer systems in conjunction with Motorola's 32-bit 68020 or 68030
Motorola_68881
Pipeline-oriented array processor
Floating Point Systems. It was designed to be attached to a host computer such as a DEC PDP-11 as a fast number-cruncher. It used a 38-bit floating point
FPS_AP-120B
American supercomputer manufacturer
Enterprise, it also manufactures systems for data storage and analytics. As of June 2025[update], Cray supercomputer systems held the top three spots in the
Cray
32-bit computer number format
In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory. Like the binary16 and
Decimal32 floating-point format
Decimal32_floating-point_format
64-bit RISC instruction set architecture
Several third-party vendors also produced Alpha systems, including PC form factor motherboards. Operating systems that support Alpha included OpenVMS (formerly
DEC_Alpha
Multiprocessor server computer system
development) superseded the earlier SPARC-based Cray S-MP system, which was designed by Floating Point Systems. However, the CS6400 adopted the XDBus packet-switched
Cray_CS6400
Subset of x86 instruction set architecture for floating-point arithmetic
slow library calls to perform floating-point operations, a method that is still common in (low-cost) embedded systems. The x87 registers form an eight-level
X87
Upper bound on rounding error in floating-point arithmetic
bound on the relative approximation error due to rounding in floating point number systems. This value characterizes computer arithmetic in the field of
Machine_epsilon
Semiconductor company (defunct)
emitter-coupled logic technology. The company was founded in 1983 by former Floating Point Systems, Intel, and Tektronix engineers. The company, which occupied a 46
Bipolar_Integrated_Technology
Nickname for the cluster of high-tech companies near Portland, USA
(defunct) Central Point Software (defunct) ClearEdge Power Etec Systems, Inc. (acquired by Applied Materials) Floating Point Systems (defunct) Fujitsu
Silicon_Forest
Floating-point values coded as few bits
In computing, minifloats are floating-point values represented with very few bits. This reduced precision makes them ill-suited for general-purpose numerical
Minifloat
Series of pioneering microprocessors from the 1980s
transputer-based systems in the late 1980s. These included Meiko Scientific (founded by ex-Inmos employees), Floating Point Systems, Parsytec, and Parsys
Transputer
Topics referred to by the same term
proportionate selection, a genetic operator used in genetic algorithms Floating Point Systems, a defunct American computer hardware company Fear-potentiated startle
FPS
Island (natural or artificial) made of floating plants, mud, and peat
A floating island is a mass of floating aquatic plants, mud, and peat ranging in thickness from several centimeters to a few meters. Sometimes referred
Floating_island
Base-16 numeric representation
notation is required by the IEEE 754-2008 binary floating-point standard and can be used for floating-point literals in the C99 edition of the C programming
Hexadecimal
gate array FPS—Floating Point Systems FPU—Floating-Point Unit FRR—False Rejection Rate FRU—Field-Replaceable Unit FS—File System FS—Forward secrecy
List of computing and IT abbreviations
List_of_computing_and_IT_abbreviations
Computer format for representing real numbers
intervals. Fixed-point number representation is often contrasted to the more complicated and computationally demanding floating-point representation. In
Fixed-point_arithmetic
Floating-point data type in C family languages
In C and related programming languages, long double refers to a floating-point data type that is often more precise than double precision though the language
Long_double
Computer architecture to aid parallelism
difficulty Fisher observed at Yale of compiling for architectures like Floating Point Systems' FPS164, which had a complex instruction set computing (CISC) architecture
Very_long_instruction_word
Type of wind turbine
sub-systems well proven. Inter-array wind farm cabling and mooring systems are shared between the units. The GICON-TLP is a floating substructure system based
Floating_wind_turbine
Topics referred to by the same term
fluorescent protein, a protein Binary floating point, floating point systems based on radix 2 Block floating point, a calculation scheme using a common
BFP
the seeds for Harmony were planted. My friends in school and at Floating Point Systems listened to me ranting about "making music videos with computers"
Harmony_(software)
Floating-point number format by Microsoft
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
Microsoft_Binary_Format
Mechanical device used to change the pitch of guitar strings
named Floyd Rose two-point locking tremolo, the two systems use the words two-point to describe entirely different concepts. The floating bridge featured on
Vibrato_systems_for_guitar
C library for arbitrary-precision floating-point arithmetic
Multiple Precision Floating-Point Reliable Library (GNU MPFR) is a GNU portable C library for arbitrary-precision binary floating-point computation with
GNU_MPFR
Former British company
companies such as Meiko (formed by ex-Inmos employees in 1985), Floating Point Systems, Parsytec and Parsys. It was used in a few workstations, the most
Inmos
Number of bits of information recorded for each digital audio sample
resolution of floating-point samples is less straightforward than integer samples because floating-point values are not evenly spaced. In floating-point representation
Audio_bit_depth
American technology company
1989, using compiler technology developed at and acquired from Floating Point Systems Inc. The first products, pipelining Fortran and C compilers, were
The_Portland_Group
Differentiating positive and negative zero
and in most floating-point number representations. The number 0 is typically expressed as +0. The IEEE 754 standard for floating-point arithmetic (presently
Signed_zero
Data types supported by the C programming language
IEEE 754 binary floating-point formats are used for float and double respectively. The C99 standard includes new real floating-point types float_t and
C_data_types
Quickly accessible working storage available as part of a digital processor
unified so that the GPRs can store floating-point numbers as well. Floating-point registers (FPRs) store floating-point numbers in many architectures. Constant
Processor_register
Family of computers 1970–1990
from the 360 line to be included as standard features of the machines, floating-point support for instance. The 370 also added a small number of new instructions
IBM_System/370
C standard library header file
compatibility feature). Most of the mathematical functions, which use floating-point numbers, are defined in <math.h> (<cmath> header in C++). The functions
C_mathematical_functions
IBM's 64-bit instruction set architecture implemented by its mainframe computers
1 MB page frames, and hardware decimal floating-point unit (HDFU). Most[citation needed] operating systems for the z/Architecture, including z/OS, generally
Z/Architecture
32-bit superminicomputer delivered in 1981 by Norsk Data
available with other floating-point accelerators, such as those from Floating Point Systems, even directly from Digital. Floating Point Systems had itself introduced
ND-500
Algorithm in numerical analysis
error in the total obtained by adding a sequence of finite-precision floating-point numbers, compared to the naive approach. This is done by keeping a separate
Kahan_summation_algorithm
Second edition of the IEEE 754 floating-point standard
(previously 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
IEEE_754-2008_revision
American computer scientist
shared the Gordon Bell Prize in 2001 with colleagues. Seidel was the Floating Point Systems Professor in Louisiana State University LSU's Departments of Physics
Ed_Seidel
Computer processor which works on arrays of several numbers at once
the world record fastest supercomputer in 1990-1991. Oregon-based Floating Point Systems (FPS) built add-on array processors for minicomputers, later building
Vector_processor
consisting of: Frank Bouton - President, who was the cofounder of Floating Point Systems Inc Dr. Michael Mulder - Vice President of Engineering, who was
GemStone/S
Solar panels mounted on a structure that floats
floating objects but it needs to be adapted to the usage with floating PV. Severe storms have caused floating systems to fail and anchoring systems must
Floating_solar
Single board computer
utilizing the hardware floating point libraries. The soft/hard floating point systems are not compatible. The PandaBoard has a real-time clock, but it
PandaBoard
High-end IBM computer model from 1960s
instruction, floating-point, fixed-point, and two storage controllers for the overlapping memory units and the I/O data channels. The floating-point unit made
IBM_System/360_Model_91
Floating-point microprocessor
was the first floating-point coprocessor for the 8086 line of microprocessors. The purpose of the chip was to speed up floating-point arithmetic operations
Intel_8087
Computer architecture bit width
(1968). "Structural aspects of the System/360 Model 85, III: Extensions to floating-point architecture". IBM Systems Journal. 7: 22–29. doi:10.1147/sj
128-bit_computing
Family of mainframe computers by ICT
on any model of the range. The hardware floating-point unit, if fitted, ran autonomously. After a floating-point operation was started, integer instructions
ICT_1900_series
Computer architecture bit width
instructions able to load and store 64-bit (and 32-bit) floating-point values in memory, the internal floating-point data and register format is 80 bits wide, while
64-bit_computing
Bug in the Intel P5 Pentium floating-point unit
the floating-point unit (FPU) of the early Intel Pentium processors. Because of the bug, the processor would return incorrect binary floating point results
Pentium_FDIV_bug
additional $7.1 million contract by Naval Sea Systems Command (NAVSEA) for further repairs and preservation of floating dry dock Shippingport (ARDM-4), with the
Shippingport_(ARDM-4)
Measure of a systems floating point architecture
measure of a system's floating-point computing power. Introduced by Jack Dongarra, they measure how fast a computer solves a dense n × n system of linear
LINPACK_benchmarks
Mathematical software library
Karlsruhe Accurate Arithmetic Approach (KAAA), augments conventional floating-point arithmetic with good error behaviour with new operations to calculate
Karlsruhe_Accurate_Arithmetic
Type of United States Navy drydocks
An auxiliary floating drydock is a type of US Navy auxiliary floating dry dock. Floating dry docks are able to submerge underwater and to be placed under
Auxiliary_floating_drydock
Computer representation of real numbers
published at least three times as an alternative to fixed-point and floating-point number systems. Nicholas Kingsbury and Peter Rayner introduced "logarithmic
Logarithmic_number_system
Model independent architecture for the S/360 line of mainframe computers
Information manuals. The System/360 architecture provides the following features: 16 32-bit general-purpose registers 4 64-bit floating-point registers 64-bit
IBM_System/360_architecture
Metric to measure computing performance in 64-bit processors and above
following steps: Determine how many 64 bit (or better) floating point operations every processor in the system can perform per clock cycle (best case). This is
Adjusted_Peak_Performance
Open-source CPU instruction set architecture
processing. For simple, cost-reduced RISC-V systems, the base ISA's specification proposed to use the floating-point registers' bits to perform parallel single
RISC-V
First edition of the IEEE 754 floating-point standard
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_754-1985
Computer chip instruction set extension
IA-32 operating systems. The first CPU to support SSE, the Pentium III, shared execution resources between SSE and the floating-point unit (FPU). While
Streaming_SIMD_Extensions
Storage facility
An external floating roof tank is a storage tank commonly used to store large quantities of petroleum products such as crude oil or condensate. It consists
External_floating_roof_tank
Measure of supercomputer performance
hypothetical performance barrier. A zettascale computer system could generate more single floating point data in one second than was stored by the total digital
Zettascale_computing
S-MP superserver after Cray acquired Floating Point Systems in December 1991 and used the Folklore Operating System supplied by the NSA in the US. These
Technological and industrial history of 20th-century Canada
Technological_and_industrial_history_of_20th-century_Canada
Computational error due to rounding numbers
80-bit floating-point and then rounds the result to IEEE 754 binary64 floating-point. Compared with the fixed-point number system, the floating-point number
Round-off_error
Number type in floating-point arithmetic
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
Normal_number_(computing)
Order of bytes in a computer word
floating-point numbers as for integers, making the conversion straightforward regardless of data type. Small embedded systems using special floating-point
Endianness
Thought experiment by Ibn Sina
The floating man, flying man, or man suspended in air argument is a thought experiment by the Persian philosopher Ibn Sina (Avicenna) which argues for
Floating_man
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
Boy/Male
Gujarati, Indian
Floating
Girl/Female
Hindu, Indian
Drop Point
Boy/Male
Indian
Point
Boy/Male
Tamil
Floating, Revolution
Girl/Female
Tamil
Bindu Priya | பிஂத௠பà¯à®°à®¿à®¯à®¾Â
Drop, Point
Bindu Priya | பிஂத௠பà¯à®°à®¿à®¯à®¾Â
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Tamil, Telugu
Drop; Point
Girl/Female
Hindu, Indian, Marathi
Point; Intelligent
Girl/Female
Norse
New point.
Girl/Female
Norse
Beautiful point.
Boy/Male
Shakespearean
King Henry IV, Part 1 and 2' Edward Poins, an irregular humorist.
Surname or Lastname
English, Scottish, French, and Catalan
English, Scottish, French, and Catalan : topographic name for
someone who lived near a bridge, Middle English, Old French, Catalan
pont (Latin pons, genitive pontis).Catalan : habitational name from any of the numerous places named
with Pont.Dutch : variant of
Pond 2.A Pont from the Lorraine region of France is documented in Quebec City in
1640; Pont appears to be a secondary surname to
Girl/Female
Norse
Point.
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Drop; Point
Girl/Female
Hindu, Indian
Point
Boy/Male
Norse
Point descendant.
Girl/Female
Indian
Drop, Point
Surname or Lastname
English and French
English and French : probably an altered form of French Pons, a habitational name from places so named in Bourgogne and Franche-Comté.
Girl/Female
Hindu, Indian
Point
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from the medieval personal name Ponc(h)e, Pons (see Ponce).English (of Norman origin) : habitational name from Ponts in La Manche and Seine-Maritime, Normandy, from Latin pontes ‘bridges’ (see Pont).English (of Norman origin) : nickname for a fop or dandy, from points ‘laces for hose’ (see Pointer 1).
Girl/Female
Tamil
Bindushri | பீநà¯à®¤à¯à®·à¯à®°à¯€Â
Point
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
Boy/Male
Hindu, Indian
Universal Soul
Girl/Female
Indian, Irish, Punjabi, Sikh, Telugu
Rocky Hill
Boy/Male
Anglo Saxon English American Shakespearean Irish
Rock.
Boy/Male
Indian, Sanskrit
Permanent; Perpetual
Boy/Male
Egyptian
Rooster.
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
Boy/Male
English
Active.
Boy/Male
American, British, English, French, Irish
Little Rock; Little Peter; Nineteenth-century Irish Nationalist Charles Parnell
Girl/Female
Muslim
Desire, Wish
Boy/Male
Indian, Punjabi, Sikh
Charming Lamp
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
FLOATING POINT-SYSTEMS
a.
Passing swiftly away; not durable; transient; transitory; as, the fleeting hours or moments.
a.
Alt. of Point-devise
n.
Lace wrought the needle; as, point de Venise; Brussels point. See Point lace, below.
n.
One of the points of the compass (see Points of the compass, below); also, the difference between two points of the compass; as, to fall off a point.
n.
A short piece of cordage used in reefing sails. See Reef point, under Reef.
n.
To direct toward an abject; to aim; as, to point a gun at a wolf, or a cannon at a fort.
a.
Buoyed upon or in a fluid; a, the floating timbers of a wreck; floating motes in the air.
n.
The attitude assumed by a pointer dog when he finds game; as, the dog came to a point. See Pointer.
n.
Whatever serves to mark progress, rank, or relative position, or to indicate a transition from one state or position to another, degree; step; stage; hence, position or condition attained; as, a point of elevation, or of depression; the stock fell off five points; he won by tenpoints.
a.
Free or lose from the usual attachment; as, the floating ribs in man and some other animals.
n.
A fixed conventional place for reference, or zero of reckoning, in the heavens, usually the intersection of two or more great circles of the sphere, and named specifically in each case according to the position intended; as, the equinoctial points; the solstitial points; the nodal points; vertical points, etc. See Equinoctial Nodal.
a.
Not funded; not fixed, invested, or determined; as, floating capital; a floating debt.
adv.
In a floating manner.
n.
To mark (as Hebrew) with vowel points.
n.
To give a point to; to sharpen; to cut, forge, grind, or file to an acute end; as, to point a dart, or a pencil. Used also figuratively; as, to point a moral.
adv.
In a point-blank manner.
adv.
Alt. of Point-devise
n.
A movement executed with the saber or foil; as, tierce point.
n.
To supply with punctuation marks; to punctuate; as, to point a composition.
n.
Floating threads. See Floating threads, above.