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.

Document type :

Conference papers

Domain :

Computer Science [cs] / Other [cs.OH]

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Submitted on : Tuesday, December 21, 2010 - 10:33:18 AM
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