Radix Conversion for IEEE754-2008 Mixed Radix Floating-Point Arithmetic
Mathematical Software
2014-07-21 v1
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
Cite
@article{arxiv.1312.0455,
title = {Radix Conversion for IEEE754-2008 Mixed Radix Floating-Point Arithmetic},
author = {O. Kupriianova and Ch. Lauter and J. -M. Muller},
journal= {arXiv preprint arXiv:1312.0455},
year = {2014}
}