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arXiv · 1312.0455

Radix Conversion for IEEE754-2008 Mixed Radix Floating-Point Arithmetic

O. Kupriianova·Ch. Lauter·J. -M. Muller
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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.

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O. Kupriianova, Ch. Lauter, J. -M. Muller. 2013-12-02. Radix Conversion for IEEE754-2008 Mixed Radix Floating-Point Arithmetic. https://doi.org/10.1109/acssc.2013.6810471

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