# 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, binary 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 ?
These steps can be repeated to get floating point value of desired length.
The floating point numerals are different from the normal integer numbers.
The operations involved in floating point addition/subtraction are (a) aligning the binary point, (b) addition/subtraction of aligned significand and (c) normalization of the result.
The responses of the 32-bit fixed-point simulation and the floating point simulation results are nearly identical.
With a theoretical speed of 42 teraFLOPS (trillion floating point operations per second), the Earth Simulator will have a sustained performance 1,000 times greater than that of existing super-computers operating in meteorological and environmental fields, says NEC.
In the past, both AMD and Cyrix's floating point processing performance had been sluggish.
Floating Point Science Theatre, which is linked to the national Theatre in Education Company, dropped in on Southam Primary School during a tour of the region.
These systems are known as teraflops (for trillion floating point, or real number, operations).
Alex Computer is a floating point digital signal processing company.
In 1994, an Intel Paragon supercomputer made of about 1,024 Pentium microprocessors became the world's fastest computer, achieving more than 280 billion floating point operations (gigaflops) per second.

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