floating-point representation


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Related to floating-point representation: Floating point number

floating-point representation

n
(Computer Science) computing the representation of numbers by two sets of digits (a, b), the set a indicating the significant digits, the set b giving the position of the radix point. The number is the product arb, where r is the base of the number system used. Compare fixed-point representation
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The floating-point representation of any number consists of three fields known as Sign, Exponent and Significant or Mantissa part.
A reasonable upper bound p = 27 resembles the equality of the number of fractional bits [p.sub.f] = 23 to the number of bits in the fractional part f of the single-precision binary floating-point representation, which is the smallest precision used in most software implementations.
Section 3, presents a detailed description of our algorithm and a brief discussion about the floating-point representation. The statistical analysis is given in Sec.
Among the topics are mathematical preliminaries and floating-point representation, numerical integration, least squares methods and Fourier series, boundary-value problems, and linear programming problems.
If students are not aware of 64-bit floating-point representation at this point in their study, then the next step usually involves the default 32-bit floating-point representation.
* Floating-point representation of data has a smaller amount of probable error and noise.
One could imagine a hypothetical machine that used IEEE floating-point representation, but to save transistors sometimes mangled the low-order bits of the mantissa.
The concern is about scientific applications using floating-point representation, and justifiably so.
The floating-point representation is used for encoding individuals in such system with every gene represents the value of one variable.
2 A common definition of the relative machine precision, or unit roundoff, is the smallest positive floating-point value, [Epsilon], such that fl(1 + [Epsilon]) [greater than] 1, where fl(x) is the floating-point representation of x.
If you are not a floating-point expert, Micromega provides a utility that converts back and forth between hexadecimal and floating-point representations. You also can download an IDE that lets you enter equations and produce [mu]M-FPU V2 op codes as well as instructions for various microcontrollers.

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