Division-Free Binary-to-Decimal Conversion

作者：Bouvier Cyril^*; Zimmermann Paul

来源：IEEE Transactions on Computers, 2014, 63(8): 1895-1901.

DOI：10.1109/TC.2014.2315621

• Binary-to-decimal conversion
• scaled remainder tree
• GMP

This article presents algorithms that convert multiple precision integer or floating-point numbers from radix 2 to radix 10 (or to any radix b %26gt; 2). Those algorithms, based on the %26quot;scaled remainder tree%26quot; technique, use multiplications instead of divisions in their critical part. Both quadratic and subquadratic algorithms are detailed, with proofs of correctness. Experimental results show that our implementation of those algorithms outperforms the GMP library by up to 50 percent (using the same low-level routines).

• 出版日期2014-8
• 单位INRIA