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RNS to Binary Conversion

In: Residue Number Systems

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  • P. V. Ananda Mohan

    (CDAC, R&D)

Abstract

This important topic has received extensive attention in literature. The choice of the moduli set in RNS is decided by the speed of RNS to binary conversion for performing efficiently operations such as comparison, scaling, sign detection and error correction. Both ROM-based and non-ROM-based designs will be of interest. The number of moduli to be chosen is decided by the desired dynamic range, word length of the moduli and ease of RNS to binary conversion. There are two basic classical approaches to converting a number from RNS to binary form. These are based on Chinese Remainder Theorem (CRT) and Mixed Radix Conversion (MRC) [1]. Several new techniques have been introduced recently such as New CRT-I, New CRT-II, Mixed-Radix CRT, quotient function, core function and diagonal function. All these will be presented in some detail.

Suggested Citation

  • P. V. Ananda Mohan, 2016. "RNS to Binary Conversion," Springer Books, in: Residue Number Systems, chapter 0, pages 81-132, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-41385-3_5
    DOI: 10.1007/978-3-319-41385-3_5
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