Implementing decimal floating-point arithmetic through binary: some suggestions

Nicolas Brisebarre 1, 2 Milos Ercegovac 3 Nicolas Louvet 1, 2 Erik Martin-Dorel 1, 2 Jean-Michel Muller 1, 2 Adrien Panhaleux 1, 2
1 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
2 LIP - Laboratoire de l'Informatique du Parallélisme
3 Digital Arithmetic and Reconfigurable Architecture Laboratory
Abstract : We propose several algorithms and provide some related results that make it possible to implement decimal floating-point arithmetic on a processor that does not have decimal operators, using the available binary floating-point functions. In this preliminary study, we focus on round-to-nearest mode only. We show that several functions in decimal32 and decimal64 arithmetic can be implemented using binary64 and binary128 floating-point arithmetic, respectively. Specifically, we discuss the decimal square root and some transcendental functions. We also consider radix conversion algorithms.
Keywords : Radix conversion Floating-point arithmetic Decimal floating-point arithmetic Square root Transcendental functions Radix conversion.
Type de document :
Communication dans un congrès
21st IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP'2010), Jul 2010, Rennes, France. IEEE, pp.317-320, 2010
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Contributeur : Jean-Michel Muller <>
Soumis le : mardi 21 décembre 2010 - 10:33:18
Dernière modification le : vendredi 20 avril 2018 - 15:44:24
Document(s) archivé(s) le : vendredi 2 décembre 2016 - 17:05:31

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Nicolas Brisebarre, Milos Ercegovac, Nicolas Louvet, Erik Martin-Dorel, Jean-Michel Muller, et al.. Implementing decimal floating-point arithmetic through binary: some suggestions. 21st IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP'2010), Jul 2010, Rennes, France. IEEE, pp.317-320, 2010. 〈ensl-00463353v2〉

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