Results 151 to 160 of about 41,732 (190)

Fully Redundant Decimal Arithmetic

2009 19th IEEE Symposium on Computer Arithmetic, 2009
Hardware implementation of all the basic radix-10 arithmetic operations is evolving as a new trend in the design and implementation of general purpose digital processors. Redundant representation of partial products and remainders is common in the multiplication and division hardware algorithms, respectively.
Saeid Gorgin, Ghassem Jaberipur
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Accurate arithmetic results for decimal data on non-decimal computers

Computing, 1985
Recently, techniques have been devised and implemented which permit the computation of smallest enclosing machine number interval for the exact results of a good number of highly composite operations. These exact results refer, however, to the data as they are represented in the computer.
Auzinger, W., Stetter, H. J.
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The IBM z900 decimal arithmetic unit

Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
As the cost for adding functions to a processor continues to decline, processor designs are including many additional features. An example of this trend is the appearance of graphics engines and compression engines on midrange and even low end microprocessors.
F.Y. Busaba, C.A. Krygowski, W.H. Li, E.M. Schwarz, S.R. Carlough   +4 more
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Error-Correcting Codes in Binary-Coded-Decimal Arithmetic

IEEE Transactions on Computers, 1978
Error-correcting coding schemes devised for binary arithmetic are not in general applicable to BCD arithmetic. In this paper, we investigate the new problem of using such coding schemes in BCD systems. We first discuss the general characteristics of arithmetic errors and define the arithmetic weight and distance in BCD systems.
Liu, Chao-Kai, Wang, Tse Lin
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Formal Design of Decimal Arithmetic Circuits Using Arithmetic Description Language

2006 International Symposium on Intelligent Signal Processing and Communications, 2006
This paper presents a formal design of decimal arithmetic circuits using an arithmetic description language called ARITH. The use of ARITH makes possible (i) formal description of arithmetic algorithms including those using unconventional number systems, (ii) formal verification of described arithmetic algorithms, and (iii) translation of arithmetic ...
Yuki Watanabe, Naofumi Homma, Takafumi Aoki, Tatsuo Higuchi   +3 more
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A Binary Integer Decimal-based Multiplier for Decimal Floating-Point Arithmetic

2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers, 2007
Demand for decimal floating-point (DFP) arithmetic is increasing because global business, e-commerce, financial applications, and the standards and laws that govern them require it. The IEEE P754 draft standard for floating-point arithmetic specifies formats and operations for DFP numbers.
Sonia Gonzalez-Navarro, Charles Tsen, Michael Schulte   +2 more
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Parameterizing Individual Differences in Fraction and Decimal Arithmetic

Cognitive Science
AbstractMath problem solving frequently involves choices among alternative strategies. Strategy choices, and effects of problem features on strategy choices, both vary among individuals. We propose that individual differences in strategy choices can be well characterized in terms of parametric variation in three types of influence: global bias ...
David W. Braithwaite, Anna N. Rafferty
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The Arithmetic of Infinite Decimals

1982
To end our protracted encounter with infinite decimals we should at least answer the question which started it all off: Given that the familiar arithmetical procedures for addition, subtraction, multiplication and division simply do not work for infinite decimals, how can we possibly calculate $$ \alpha + \beta ,\alpha - \beta ,\alpha \cdot \beta ,
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Fractions without Quotients: Arithmetic of Repeating Decimals

The Two-Year College Mathematics Journal, 1978
It is well known (and repeatedly taught) that a real number is rational if and only if it can be written as an infinite repeating decimal. That the decimal representation is not necessarily unique is also well known. However, if we do not allow those representations with repeating zeroes (often called terminating), the representations are unique. It is
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Performance Characterization of Decimal Arithmetic in Commercial Java Workloads

2007 IEEE International Symposium on Performance Analysis of Systems & Software, 2007
Binary floating-point numbers with finite precision cannot represent all decimal numbers with complete accuracy. This can often lead to errors while performing calculations involving floating point numbers. For this reason many commercial applications use special decimal representations for performing these calculations, but their use carries ...
M. Bhat, J. Crawford, R. Morin, K. Shiv
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