# floating point

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## floating point

A method for storing and calculating numbers in which the decimal points do not line up as in fixed point numbers. The significant digits are stored as a unit called the "mantissa," and the location of the radix point (decimal point in base 10) is stored in a separate unit called the "exponent." Floating point methods are used for calculating a large range of numbers quickly.

Floating point operations can be implemented in software or in a floating point unit (FPU), which may be a separate "math coprocessor" chip or a circuit in the CPU. See math coprocessor, numbers and NaN.

```FLOATING POINT EXAMPLESMantissa  Exponent  Value

71        0           71
71        1          710
71        2         7100
71        -1           7.1
```

How Numbers Are Stored Floating point is one of four primary ways numbers are stored in the computer.

## Floating Point

a form of representation of numbers in a digital computer, with variable position of the point that separates the whole part of the number from the fraction. A floating point corresponds to the normal or semilogarithmic form of representation of numbers. For example, the numbers 5671.31 (a decimal number) and 1101.1 (a binary number) are represented in normalized form as follows: 0.567131 x 10+4 and 0.11011 x 10+100. The range of numbers that can be represented is much broader in a digital computer with a floating point than in one with a fixed point.

A floating point improves the accuracy of calculations and excludes large coefficients for most problems, thus facilitating the process of programming and problem preparation, but operations involving numbers with a floating point are more labor-intensive and digital computers with a floating point are structurally more intricate than are digital computers with a fixed point. The representation of numbers with a floating point is used in most Soviet digital computers, such as the Minsk-22, Ural-14, BESM-4, BESM-6, and M-220.

References in periodicals archive ?
Thus proposed FPU has to be standardized for generalized use, since there are lot of standards for floating point numbers including single precision style, double precision style, etc.
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Super FinSim uses IEEE std 1364 - 2001 attributes in order to specify variable precision (VP) fixed point and IEEE 754/854 floating point objects, as well as descriptors associated to them.
The Floating Point ToolKit is being deployed into high-performance computing (HPC) application areas such as the automated trading of equities and related financial derivatives, oil and gas exploration and embedded applications including audio and video DSP filtering.
New Floating Point Core Enables Adaptive Beam Forming Antenna System and Radar Signal Processing
Employing an innovative design, the AMD Duron processor features a sophisticated cache architecture with 192KB of total on-chip cache; a high-speed 200MHz front-side bus, and a superscalar floating point unit with enhanced 3DNow
The ClearSpeed CSX600, the world's fastest and most power efficient 64-bit floating point processor, is an embedded parallel processor with 96 cores that executes up to 25 billion 64-bit floating-point operations per second (Flops) while averaging less than 10 Watts of energy.
Atmel (Nasdaq: ATML) today introduced its AT572D740 Diopsis(TM) a dual processor system-on-chip, with an ARM7, peripherals and a complex domain, 40-bit precision, VLIW, floating point DSP.
At the heart of ClearSpeed's products lies the CSX600, an embedded parallel processor with 96 cores that executes up to 25 billion 64-bit floating point operations per second (Flops) while consuming less than 10 Watts of energy.
SAN FRANCISCO, electronicaUSA, March 29 /PRNewswire/ -- Atmel today introduced its AT572D740 Diopsis(TM) a dual processor system-on-chip, with an ARM7, peripherals and a complex domain, 40-bit precision, VLIW, floating point DSP.

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