fixed-point

(programming)

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.

This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

Mentioned in

References in periodicals archive

Using the partial ordering "[less than or equal to]" on [A.sub.sa], Ma introduced the notion of [C.sup.*] -algebra-valued metric spaces and gave the fixed-point theory for contractive or expansion mapping on such a space [30, 31].

[C.sup.*]-Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems

The basic fixed-point index of f/p was constructed in [8], and called there the homotopy Lefschetz index, as an element

Nielsen-Reidemeister indices for multivalued maps

We consider the problem of finding the roots of a given real-valued equation f (x) = 0 on a closed interval D = [a, b], which we write as a fixed-point equation x = g(x).

Maps for global separation of roots

Until recently for contact temperature measurements, the maximum defined fixed-point temperature was that at the freezing point of copper (at 1084.62[degrees]C).

Taking the heat: thermocouples that can compensate for their own drift makes their use at high temperatures more reliable

This paper proposes hardware implementation of a simple conversion method for converting 16-bit fixed-point numbers to 64-bit IEEE 754 standard number and vice versa in Cyclone II from Altera, where, current dq PI controller uses 16-bit I/O bus.

Hardware approach of two way conversion of floating point to fixed point for current dq PI controller of FOC PMSM drive/Aparatinis slankiojo kablelio konvertavimo i fiksuota kableli sprendimas, skirtas FOC-PMSM variklio sroves dq PI valdikliui

The new fixed-point 8000-F web-gauging system is described as a cost-effective, entry-level version of the TDi family of distributed measurement and control systems from NDC, Irwindale, Calif.

Entry-level, fixed-point web gauging

For example, multiple fixed-point sensors can be positioned across the web for either cross-axis or dual gap calendering applications.

Web gauging system

Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets & Systems, 125(2002), No.

Fixed points of occasionally weakly compatible mappings in fuzzy metric spaces

To see how we can transform this problem into a fixed-point problem, we consider the following equations:

Brouwer fixed point theorem and applications

Capability: Simulink Fixed Point version six is used to design and simulate fixed-point systems and to generate codes.

Fixed-point design