Radix conversion for IEEE754-2008 mixed radix floating-point arithmetic

Author

Kupriianova, Olga ; Lauter, C. ; Muller, J.-M.

Author_Institution

LIP6, UPMC Paris 6, Paris, France

fYear

2013

fDate

3-6 Nov. 2013

Firstpage

1134

Lastpage

1138

Abstract

Conversion between binary and decimal floating-point representations is ubiquitous. Floating-point radix conversion means converting both the exponent and the mantissa. We develop an atomic operation for FP radix conversion with simple straight-line algorithm, suitable for hardware design. Exponent conversion is performed with a small multiplication and a lookup table. It yields the correct result without error. Mantissa conversion uses a few multiplications and a small lookup table that is shared amongst all types of conversions. The accuracy changes by adjusting the computing precision.

Keywords

floating point arithmetic; table lookup; FP radix conversion; IEEE754-2008; binary floating-point representations; decimal floating-point representations; floating-point radix conversion; lookup table; mantissa conversion; mixed radix floating-point arithmetic; multiplications; simple straight-line algorithm; Accuracy; Algorithm design and analysis; Approximation methods; Electronic mail; Floating-point arithmetic; Hardware; IEEE standards;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 2013 Asilomar Conference on

Conference_Location

Pacific Grove, CA

Print_ISBN

978-1-4799-2388-5

Type

conf

DOI

10.1109/ACSSC.2013.6810471

Filename

6810471