Implementing decimal floating-point arithmetic through binary: some suggestions

Nicolas Brisebarre; Milos Ercegovac; Nicolas Louvet; Erik Martin-Dorel; Jean-Michel Muller; Adrien Panhaleux

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

Domaine :

Informatique [cs] / Autre [cs.OH]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00463353
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

Brisebarreetal2010.pdf

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