fixed-point

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(programming)

fixed-point - A number representation scheme where a number, F is represented by an integer I such that F=I*R^-P, where R is the (assumed) radix of the representation and P is the (fixed) number of digits after the radix point.

On computers with no floating-point unit, fixed-point calculations are significantly faster than floating-point as all the operations are basically integer operations. Fixed-point representation also has the advantage of having uniform density, i.e., the smallest resolvable difference of the representation is R^-P throughout the representable range, in contrast to floating-point representations.

For example, in PL/I, FIXED data has both a precision and a scale-factor (P above). So a number declared as 'FIXED DECIMAL(7,2)' has a precision of seven and a scale-factor of two, indicating five integer and two fractional decimal digits. The smallest difference between numbers will be 0.01.

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No references found			11) Shigeru Itoh and Wataru Takahashi, Single-valued mappings, multivalued mappings and fixed-point theorems, J. Coincidences and fixed points of hybrid contractions by Singh, Shyam Lal; Czerwik, Stefan; Krol, Krzysztof; Singh, Abha / Tamsui Oxford Journal of Mathematical Sciences A town has become the first to abolish fixed-point speed cameras, officials said Thursday. Town becomes first to scrap speed cameras by AFP / AFP European Edition This came after a change to the way fixed-point cameras were funded. Speed cameras banned by town by Daily Post (Liverpool, England)			fixed-bed hydroforming fixed-bed operation fixed-bias transistor circuit fixed-block fixed-charge problem fixed-cost contract fixed-cycle operation fixed-electrode method fixed-end beam fixed-end column fixed-ended fixed-feed grinding fixed-field accelerator fixed-field method fixed-focus lens fixed-frequency monitor fixed-head disk fixed-length field fixed-length operation fixed-length record fixed-level chart fixed-line Fixed-Matte Method fixed-needle traverse fixed-passive tooling fixed-point fixed-point arithmetic fixed-point attractor fixed-point calculation fixed-point computer fixed-point part fixed-point representation fixed-point system fixed-point theorem fixed-position addressing fixed-position welding fixed-price contract fixed-product area fixed-program computer fixed-satellite service fixed-sequence robot fixed-stop robot fixed-width Fixer fixer network fixer system Fixing fixing agent fixing block fixing brick fixing compound			Fixed-Lag Kalman Gain Fixed-Lag Kalman Smoother Fixed-Lag Smoothing Fixed-Length Capacity Fixed-Length Coding for Slepian-Wolf System with Linkage fixed-length field Fixed-Length Information Block fixed-length operation fixed-length record Fixed-Length Subnet Mask Fixed-Length Vector fixed-level chart Fixed-line Fixed-line Fixed-Line Short Message Service Fixed-Line Short Messaging Service Fixed-Matte Method Fixed-Mobile Convergence Alliance fixed-needle traverse Fixed-Object-Attachment fixed-passive tooling Fixed-Path Least Congestion Fixed-Path Least Congestion-Second Shortest Path fixed-performance oxygen delivery system Fixed-pixel fixed-point Fixed-point arithmetic fixed-point attractor fixed-point calculation Fixed-point combinator fixed-point computer Fixed-Point Linearly-Scaled Permutations Fixed-point math fixed-point notation fixed-point number fixed-point part fixed-point part Fixed-Point Pre-Distorter fixed-point representation fixed-point representation fixed-point representation fixed-point representation system fixed-point system Fixed-point theorem fixed-position addressing fixed-position welding fixed-price Fixed-Price Based on Priority Fixed-Price Based on Priority and Time of Day Fixed-Price Based on Time of Day Fixed-Price Contract Fixed-Price Contract Fixed-price dining Fixed-Price Economic Adjustment

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