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.