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Fixed-point arithmetic

Index Fixed-point arithmetic

In computing, a fixed-point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point (after the decimal point '.' in English decimal notation). [1]

132 relations: Adaptive Transform Acoustic Coding, AN/GYK-12, Apollo Abort Guidance System, Apollo Guidance Computer, Arbitrary-precision arithmetic, Arithmetic shift, Atanasoff–Berry computer, Atlas (computer), Au file format, Audio bit depth, Binary scaling, Binary-coded decimal, Bit Rate Reduction, Bit-reversal permutation, Block floating-point, Block sort, Box2D, BRLESC, C (programming language), Cascaded integrator–comb filter, CDC 7600, CEVA, Inc., Cg (programming language), Computer number format, Coral 66, CORDIC, Data type, Decimal data type, Decimal floating point, DF-224, Digital differential analyzer (graphics algorithm), Digital filter, Digital signal (signal processing), Digital signal processor, Digital-to-analog converter, Dingoo A320 SDK, Division algorithm, Division by zero, Double-precision floating-point format, Dyadic rational, Electronic delay storage automatic calculator, Embedded C, Endace, Fast Artificial Neural Network, Fast Fourier transform, Features new to Windows Vista, Fixed point, Fixed point (mathematics), FLAC, Floating-point arithmetic, ..., Floating-point unit, Fractint, Fraunhofer FDK AAC, G.728, GE-200 series, Glossary of computer graphics, GnuCash, High-dynamic-range imaging, HITAC, HP 2100, HRS-100, IBM 1620, IBM 305 RAMAC, IBM 604, IBM 700/7000 series, IBM 7030 Stretch, IBM 7090, IEEE 754, IEEE 754-1985, ILLIAC IV, Inverse iteration, Knapsack problem, LGP-30, Libfixmath, List of ARM Cortex-M development tools, List of data structures, List of Sega arcade system boards, Logarithmic number system, Logluv TIFF, MDSP, Mercenary (video game), Minifloat, Motorola 56000, MPEG Audio Decoder, NAR 2, NEC µPD7720, OpenGL ES, Opus (audio format), Outcast (video game), Outline of computing, PEARL (programming language), PL/I, Primitive data type, Printf format string, Pro Tools, Project Gemini, Q (number format), QuickDraw GX, R4600, Radix point, Real data type, Rounding, Saffron Type System, Scale factor (computer science), Scanf format string, SEAC (computer), Signal processing, Single-precision floating-point format, Super Harvard Architecture Single-Chip Computer, TeX, TeX font metric, Texas Instruments TMS320, Texture mapping, TI DSK 6416, TI MSP430, Top (software), Tremor (software), UNIVAC 1100/2200 series, UNIVAC 1103, UNIVAC 1105, Unix time, Vision processing unit, VisSim, Vorbis, WavPack, WebP, Word (computer architecture), YUV, Z-buffering, Z-fighting, Z2 (computer), 128-bit. Expand index (82 more) »

Adaptive Transform Acoustic Coding

Adaptive Transform Acoustic Coding (ATRAC) is a family of proprietary audio compression algorithms developed by Sony.

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AN/GYK-12

The AN/GYK-12 is an obsolete 32-bit minicomputer developed by Litton Industries for the United States Army.

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Apollo Abort Guidance System

The Apollo Abort Guidance System (AGS, also known as Abort Guidance Section) was a backup computer system providing an abort capability in the event of failure of the Lunar Module's primary guidance system (Apollo PGNCS) during descent, ascent or rendezvous.

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Apollo Guidance Computer

The Apollo Guidance Computer (AGC) was a digital computer produced for the Apollo program that was installed on board each Apollo Command Module (CM) and Lunar Module (LM).

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Arbitrary-precision arithmetic

In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system.

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Arithmetic shift

In computer programming, an arithmetic shift is a shift operator, sometimes termed a signed shift (though it is not restricted to signed operands).

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Atanasoff–Berry computer

The Atanasoff–Berry Computer (ABC) was the first automatic electronic digital computer, an early electronic digital computing device that has remained somewhat obscure.

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Atlas (computer)

The Atlas Computer was a joint development between the University of Manchester, Ferranti, and Plessey.

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Au file format

The Au file format is a simple audio file format introduced by Sun Microsystems.

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Audio bit depth

In digital audio using pulse-code modulation (PCM), bit depth is the number of bits of information in each sample, and it directly corresponds to the resolution of each sample.

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Binary scaling

Binary scaling is a computer programming technique used typically in embedded C, DSP and assembler programs to implement floating point operations by using the native integer arithmetic of the processor.

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Binary-coded decimal

In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight.

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Bit Rate Reduction

Bit Rate Reduction, or BRR, also called Bit Rate Reduced, is a name given to an audio compression method used on the SPC700 sound coprocessor used in the SNES, as well as the audio processors of the Philips CD-i and the PlayStation.

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Bit-reversal permutation

In applied mathematics, a bit-reversal permutation is a permutation of a sequence of n items, where n.

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Block floating-point

Block Floating-Point (BFP) algorithms are a kind of algorithm used to emulate floating point while using a fixed point processor.

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Block sort

Block sort, or block merge sort, is a sorting algorithm combining at least two merge operations with an insertion sort to arrive at in-place stable sorting.

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Box2D

Box2D is a free open source 2-dimensional physics simulator engine written in C++ by Erin Catto and published under the zlib license.

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BRLESC

The BRLESC I (Ballistic Research Laboratories Electronic Scientific Computer) was a first-generation electronic computer built by the United States Army's Ballistic Research Laboratory (BRL) at Aberdeen Proving Ground with assistance from the National Bureau of Standards (now the National Institute of Standards and Technology), and was designed to take over the computational workload of EDVAC and ORDVAC, which themselves were successors of ENIAC.

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C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

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Cascaded integrator–comb filter

In digital signal processing, a cascaded integrator–comb (CIC) is an optimized class of finite impulse response (FIR) filter combined with an interpolator or decimator.

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CDC 7600

The CDC 7600 was the Seymour Cray-designed successor to the CDC 6600, extending Control Data's dominance of the supercomputer field into the 1970s.

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CEVA, Inc.

CEVA is a publicly listed semiconductor intellectual property (IP) company, headquartered in Mountain View, California and specializes in digital signal processor (DSP) technology.

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Cg (programming language)

Cg (short for C for Graphics) is a high-level shading language developed by Nvidia in close collaboration with Microsoft for programming vertex and pixel shaders.

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Computer number format

A computer number format is the internal representation of numeric values in digital computer and calculator hardware and software.

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Coral 66

CORAL (Computer On-line Real-time Applications Language) is a programming language originally developed in 1964 at the Royal Radar Establishment (RRE), Malvern, UK, as a subset of JOVIAL.

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CORDIC

CORDIC (for COordinate Rotation DIgital Computer), also known as Volder's algorithm, is a simple and efficient algorithm to calculate hyperbolic and trigonometric functions, typically converging with one digit (or bit) per iteration.

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Data type

In computer science and computer programming, a data type or simply type is a classification of data which tells the compiler or interpreter how the programmer intends to use the data.

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Decimal data type

Fractional numbers are supported on most programming languages as floating-point numbers or fixed-point numbers.

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Decimal floating point

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

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DF-224

The DF-224 is a space-qualified computer used in space missions from the 1980s.

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Digital differential analyzer (graphics algorithm)

In computer graphics, a digital differential analyzer (DDA) is hardware or software used for interpolation of variables over an interval between start and end point.

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Digital filter

In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal.

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Digital signal (signal processing)

In the context of digital signal processing (DSP), a digital signal is a discrete-time signal for which not only the time but also the amplitude has discrete values; in other words, its samples take on only values from a discrete set (a countable set that can be mapped one-to-one to a subset of integers).

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Digital signal processor

A digital signal processor (DSP) is a specialized microprocessor (or a SIP block), with its architecture optimized for the operational needs of digital signal processing.

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Digital-to-analog converter

In electronics, a digital-to-analog converter (DAC, D/A, D2A, or D-to-A) is a system that converts a digital signal into an analog signal.

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Dingoo A320 SDK

The Dingoo SDK is a software development kit for the Dingoo A320 video game console and other compatible devices, such as the Gemei x760+ and Dingoo Technology A330.

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Division algorithm

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of division.

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Division by zero

In mathematics, division by zero is division where the divisor (denominator) is zero.

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Double-precision floating-point format

Double-precision floating-point format is a computer number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.

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Dyadic rational

In mathematics, a dyadic fraction or dyadic rational is a rational number whose denominator, when the ratio is in minimal (coprime) terms, is a power of two, i.e., a number of the form \frac where a is an integer and b is a natural number; for example, 1/2 or 3/8, but not 1/3.

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Electronic delay storage automatic calculator

The electronic delay storage automatic calculator (EDSAC) was an early British computer.

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Embedded C

Embedded C is a set of language extensions for the C programming language by the C Standards Committee to address commonality issues that exist between C extensions for different embedded systems.

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Endace

Endace Ltd is a privately-owned network monitoring company, based in New Zealand and founded in 2001.

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Fast Artificial Neural Network

Fast Artificial Neural Network (FANN) is cross-platform open source programming library for developing multilayer feedforward Artificial Neural Networks.

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Fast Fourier transform

A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.

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Features new to Windows Vista

Compared with previous versions of Microsoft Windows, new features of Windows Vista are numerous, covering most aspects of the operating system.

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Fixed point

"Fixed point" has many meanings in science, most of them mathematical.

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Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.

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FLAC

FLAC (Free Lossless Audio Codec) is an audio coding format for lossless compression of digital audio, and is also the name of the free software project producing the FLAC tools, the reference software package that includes a codec implementation.

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Floating-point arithmetic

In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.

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Floating-point unit

A floating-point unit (FPU, colloquially a math coprocessor) is a part of a computer system specially designed to carry out operations on floating point numbers.

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Fractint

Fractint is a freeware computer program that can render and display many kinds of fractals.

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Fraunhofer FDK AAC

Fraunhofer FDK AAC (Full title Fraunhofer FDK AAC Codec Library for Android) is an open-source software library for encoding and decoding Advanced Audio Coding (AAC) format audio, developed by Fraunhofer IIS, and included as part of Android.

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G.728

G.728 is an ITU-T standard for speech coding operating at 16 kbit/s.

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GE-200 series

GE 210 advertisement from 1960 The GE-200 series was a family of small mainframe computers of the 1960s, built by General Electric (GE).

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Glossary of computer graphics

This is a glossary of terms relating computer graphics.

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GnuCash

GnuCash is an accounting program that implements a double-entry bookkeeping system.

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High-dynamic-range imaging

High-dynamic-range imaging (HDRI) is a high dynamic range (HDR) technique used in imaging and photography to reproduce a greater dynamic range of luminosity than is possible with standard digital imaging or photographic techniques.

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HITAC

HITAC (HItachi Transistor Automatic Computer) is the designation for the majority of Hitachi large and midrange computer models spanning several decades.

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HP 2100

The HP 2100 was a series of minicomputers produced by Hewlett-Packard (HP) from the mid-1960s to early 1990s.

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HRS-100

HRS-100, ХРС-100, GVS-100 or ГВС-100, (see Ref.#1, #2, #3 and #4) (Hibridni Računarski Sistem, Гибридная Вычислительная Система, Hybrid Computer System) was a third generation hybrid computer developed by Mihajlo Pupin Institute (Serbia, then SFR Yugoslavia) and engineers from USSR in the period from 1968.

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IBM 1620

The IBM 1620 was announced by IBM on October 21, 1959, and marketed as an inexpensive "scientific computer".

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IBM 305 RAMAC

The IBM 305 RAMAC was the first commercial computer that used a moving-head hard disk drive (magnetic disk storage) for secondary storage.

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IBM 604

The IBM 604 was a control panel programmable Electronic Calculating Punch introduced in 1948, and was "a machine on which considerable expectations for the future of the business were pinned and in which a corresponding amount of planning talent was invested."Charles J. Bashe, Lyle R. Johnson, John H. Palmer, and Emerson W. Pugh, IBM's Early Computers, MIT Press, 1986,, p. 61 Most of the circuitry was based on modifications of circuit designs used in the earlier 603 Electronic Multiplier and was packaged in small one-tube-replaceable pluggable units, which made the product more easily manufactured and serviced.

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IBM 700/7000 series

The IBM 700/7000 series is a series of large-scale (mainframe) computer systems that were made by IBM through the 1950s and early 1960s.

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IBM 7030 Stretch

The IBM 7030, also known as Stretch, was IBM's first transistorized supercomputer.

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IBM 7090

The IBM 7090 is a second-generation transistorized version of the earlier IBM 709 vacuum tube mainframe computers that was designed for "large-scale scientific and technological applications".

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IEEE 754

The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE).

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IEEE 754-1985

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

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ILLIAC IV

The ILLIAC IV was the first massively parallel computer.

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Inverse iteration

In numerical analysis, inverse iteration (also known as the inverse power method) is an iterative eigenvalue algorithm.

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Knapsack problem

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

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LGP-30

The LGP-30, standing for Librascope General Purpose and then Librascope General Precision, was an early off-the-shelf computer.

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Libfixmath

libfixmath is a platform-independent fixed point maths library aimed at developers wanting to perform fast non-integer maths on platforms lacking a (or with a low performance) FPU.

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List of ARM Cortex-M development tools

This is a list of development tools for 32-bit ARM Cortex-M-based microcontrollers, which consists of Cortex-M0, Cortex-M0+, Cortex-M1, Cortex-M3, Cortex-M4, Cortex-M7, Cortex-M23, Cortex-M33 cores.

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List of data structures

This is a list of data structures.

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List of Sega arcade system boards

The following is a list of arcade system boards released by Sega.

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Logarithmic number system

A logarithmic number system (LNS) is an arithmetic system used for representing real numbers in computer and digital hardware, especially for digital signal processing.

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Logluv TIFF

Logluv TIFF is an encoding used for storing high dynamic range imaging data inside a TIFF image.

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MDSP

MDSP is a multiprocessor DSP family from Cradle Technologies.

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Mercenary (video game)

Mercenary is the first in a series of computer games, published on a number of 8-bit and 16-bit platforms from the mid-1980s to the early 1990s, by Novagen Software.

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Minifloat

In computing, minifloats are floating-point values represented with very few bits.

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Motorola 56000

The Motorola DSP56000 (also known as 56K) is a family of digital signal processor (DSP) chips produced by Motorola Semiconductor (later known as Freescale Semiconductor, now acquired by NXP) starting in 1986 and is still being produced in more advanced models in the 2010s.

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MPEG Audio Decoder

MPEG Audio Decoder (MAD) is a GPL library for decoding files that have been encoded with an MPEG audio codec.

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NAR 2

NAR 2 (Serbian Nastavni Računar 2, en. Educational Computer 2) is a theoretical model of a 32-bit word computer created by Faculty of Mathematics of University of Belgrade professor Nedeljko Parezanović as an enhancement to its predecessor, NAR 1.

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NEC µPD7720

The NEC µPD7720 is the name of fixed point digital signal processors from NEC (currently Renesas Electronics).

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OpenGL ES

OpenGL for Embedded Systems (OpenGL ES or GLES) is a subset of the OpenGL computer graphics rendering application programming interface (API) for rendering 2D and 3D computer graphics such as those used by video games, typically hardware-accelerated using a graphics processing unit (GPU).

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Opus (audio format)

Opus is a lossy audio coding format developed by the Xiph.Org Foundation and standardized by the Internet Engineering Task Force, designed to efficiently code speech and general audio in a single format, while remaining low-latency enough for real-time interactive communication and low-complexity enough for low-end embedded processors.

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Outcast (video game)

Outcast is an action-adventure video game developed by Belgian developer Appeal and released by Infogrames for Windows in 1999.

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Outline of computing

The following outline is provided as an overview of and topical guide to computing: Computing – activity of using and improving computer hardware and software.

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PEARL (programming language)

PEARL, or Process and experiment automation realtime language, is a computer programming language designed for multitasking and real-time programming.

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PL/I

PL/I (Programming Language One, pronounced) is a procedural, imperative computer programming language designed for scientific, engineering, business and system programming uses.

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Primitive data type

In computer science, primitive data type is either of the following.

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Printf format string

Printf format string refers to a control parameter used by a class of functions in the input/output libraries of C and many other programming languages.

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Pro Tools

Pro Tools is a digital audio workstation developed and released by Avid Technology for Microsoft Windows and macOS which can be used for a wide range of sound recording and sound production purposes.

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Project Gemini

Project Gemini was NASA's second human spaceflight program.

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Q (number format)

Q is a fixed point number format where the number of fractional bits (and optionally the number of integer bits) is specified.

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QuickDraw GX

QuickDraw GX was a replacement for the QuickDraw (QD) 2D graphics engine and Printing Manager inside the classic Mac OS.

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R4600

The R4600, code-named "Orion", is a microprocessor developed by Quantum Effect Design (QED) that implemented the MIPS III instruction set architecture (ISA).

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Radix point

In mathematics and computing, a radix point (or radix character) is the symbol used in numerical representations to separate the integer part of a number (to the left of the radix point) from its fractional part (to the right of the radix point).

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Real data type

A real data type is a data type used in a computer program to represent an approximation of a real number.

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Rounding

Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing $ with $, or the fraction 312/937 with 1/3, or the expression with.

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Saffron Type System

The Saffron Type System is a system for rendering high-quality scalable type on digital displays.

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Scale factor (computer science)

A scale factor is used in computer science when a real world set of numbers needs to be represented on a different scale in order to fit a specific number format.

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Scanf format string

Scanf format string (which stands for "scan formatted") refers to a control parameter used by a class of functions in the string-processing libraries of various programming languages.

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SEAC (computer)

SEAC (Standards Eastern Automatic Computer or Standards Electronic Automatic Computer) was a first-generation electronic computer, built in 1950 by the U.S. National Bureau of Standards (NBS) and was initially called the National Bureau of Standards Interim Computer, because it was a small-scale computer designed to be built quickly and put into operation while the NBS waited for more powerful computers to be completed (the DYSEAC).

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Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

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Single-precision floating-point format

Single-precision floating-point format is a computer number format, usually occupying 32 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.

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Super Harvard Architecture Single-Chip Computer

The Super Harvard Architecture Single-Chip Computer (SHARC) is a high performance floating-point and fixed-point DSP from Analog Devices.

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TeX

TeX (see below), stylized within the system as TeX, is a typesetting system (or "formatting system") designed and mostly written by Donald Knuth and released in 1978.

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TeX font metric

TeX font metric (TFM) is a font file format used by the TeX typesetting system.

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Texas Instruments TMS320

Texas Instruments TMS320 is a blanket name for a series of digital signal processors (DSPs) from Texas Instruments.

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Texture mapping

Texture mapping is a method for defining high frequency detail, surface texture, or color information on a computer-generated graphic or 3D model.

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TI DSK 6416

DSK 6416 is a DSP Starter Kit by Texas Instruments.

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TI MSP430

The MSP430 is a mixed-signal microcontroller family from Texas Instruments.

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Top (software)

top (table of processes) is a task manager program found in many Unix-like operating systems that displays information about CPU and memory utilization.

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Tremor (software)

Tremor by the Xiph.Org Foundation is a fixed-point version of the Vorbis decoder for those platforms without floating point operations.

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UNIVAC 1100/2200 series

The UNIVAC 1100/2200 series is a series of compatible 36-bit computer systems, beginning with the UNIVAC 1107 in 1962, initially made by Sperry Rand.

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UNIVAC 1103

The UNIVAC 1103 or ERA 1103, a successor to the UNIVAC 1101, was a computer system designed by Engineering Research Associates and built by the Remington Rand corporation in October 1953.

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UNIVAC 1105

The UNIVAC 1105 was a follow-on computer to the UNIVAC 1103A introduced by Sperry Rand in September 1958.

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Unix time

Unix time (also known as POSIX time or UNIX Epoch time) is a system for describing a point in time, defined as the number of seconds that have elapsed since 00:00:00 Coordinated Universal Time (UTC), Thursday, 1 January 1970,.

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Vision processing unit

A vision processing unit (VPU) is (as of 2016) an emerging class of microprocessor; it is a specific type of AI accelerator, designed to accelerate machine vision tasks.

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VisSim

VisSim is a visual block diagram language for simulation of dynamical systems and model based design of embedded systems.

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Vorbis

Vorbis is a free and open-source software project headed by the Xiph.Org Foundation.

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WavPack

WavPack is a free and open-source lossless audio compression format.

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WebP

WebP is an image format employing both lossy and lossless compression.

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Word (computer architecture)

In computing, a word is the natural unit of data used by a particular processor design.

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YUV

YUV is a color encoding system typically used as part of a color image pipeline.

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Z-buffering

In computer graphics, z-buffering, also known as depth buffering, is the management of image depth coordinates in 3D graphics, usually done in hardware, sometimes in software.

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Z-fighting

Demonstration of z-fighting with multiple colors and textures over a grey background Z-fighting, also called stitching, is a phenomenon in 3D rendering that occurs when two or more primitives have similar or identical values in the z-buffer.

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Z2 (computer)

The Z2 was a mechanical and relay computer completed by Konrad Zuse in 1940.

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128-bit

While there are currently no mainstream general-purpose processors built to operate on 128-bit integers or addresses, a number of processors do have specialized ways to operate on 128-bit chunks of data.

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Redirects here:

Fixed Precision, Fixed point (computing), Fixed point arithmetic, Fixed point number, Fixed point numbers, Fixed precision, Fixed-point math, Fixed-point number.

References

[1] https://en.wikipedia.org/wiki/Fixed-point_arithmetic

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