Results 241 to 250 of about 4,738,552 (279)

Floating-point on-line arithmetic: Algorithms

1981 IEEE 5th Symposium on Computer Arithmetic (ARITH), 1981
For effective application of on-line arithmetic to practical numerical problems, floating-point algorithms for on-line addition/subtraction and multiplication have been implemented by introducing the notion of quasi-normalization. Those proposed are normalized fixed-precision FLPOL (floating-point on-line) algorithms.
Osaaki Watanuki, Milos D. Ercegovac
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Floating Point Arithmetic

2012
There are many data processing applications (e.g. image and voice processing), which use a large range of values and that need a relatively high precision. In such cases, instead of encoding the information in the form of integers or fixed-point numbers, an alternative solution is a floating-point representation.
Jean-Pierre Deschamps, Gustavo D. Sutter, Enrique Cantó   +2 more
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Parameterised floating-point arithmetic on FPGAs

2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), 2002
This paper describes the parameterisation, implementation and evaluation of floating-point adders and multipliers for FPGAs. We have developed a method, based on the Handel-C language, for producing technology-independent pipelined designs that allow compile-time parameterisation of design precision and range, and optional inclusion of features such as
Allan Jaenicke, Wayne Luk
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Formalization and implementation of floating-point arithmetics

Computing, 1975
The paper is intended to show that floating-point arithmetic can be implemented in a way which leads to reasonable mathematical structures as described in chapters 5 and 6. It turns out for instance that all the rules of the minus-operator of the real numbers can be saved and that with respect to ≦ and ≧ inequalities can be manipulated as if they were ...
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An IEEE floating point arithmetic implementation

1983 IEEE 6th Symposium on Computer Arithmetic (ARITH), 1983
This article describes some of the methods and algorithms used in an implementation of floating point arithmetic following (almost) the IEEE standard defined in (1). The description is more directly algorithm-oriented than the ‘Implementation Guide’ for this standard (2), since the latter does not treat an actual implementation.
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Floating point arithmetic and digital filters

IEEE Transactions on Signal Processing, 1992
The roundoff noise properties of floating point digital filters are examined. To make the analysis tractable, a high level model to deal with the errors in the inner product operation is developed. This model establishes a broad connection between coefficient sensitivity and roundoff noise.
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On Local Roundoff Errors in Floating-Point Arithmetic

Journal of the ACM, 1973
A bound on the relative error in floating-point addition using a single-precision accumulator with guard digits is derived. It is shown that even with a single guard digit, the accuracy can be almost as good as that using a double-precision accumulator.
Toyohisa Kaneko, Bede Liu
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Floating-Point Arithmetic

2019
You already know about integer arithmetic; now we will introduce some floating-point computations. There is nothing difficult here; a floating-point value has a decimal point in it and zero or more decimals. We have two kinds of floating-point numbers: single precision and double precision.
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Unum: Adaptive Floating-Point Arithmetic

2016 Euromicro Conference on Digital System Design (DSD), 2016
Usually, arithmetic units represent numeric data-types employing fixed-length representations. For instance, hardware representations of real numbers usually employ fixed-length formats defined by the IEEE Standard 754 (32-bit single-precision, 64-bit double-precision, , floating-point numbers).
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Required scientific floating point arithmetic

1978 IEEE 4th Symposium onomputer Arithmetic (ARITH), 1978
Previous papers in computer arithmetic have shown that correct rounded floating point with good arithmetic properties can be attained using guard digits and careful algorithms on the floating point fractions. This paper combines that body of knowledge with proposed exponent forms that are closed with respect to inversion and detection and recovery of ...
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