An area-time-efficient residue-to-binary converter

In this paper, a new residue-to-binary conversion algorithm, that reduces the size of modulo operation required by the Chinese remainder theorem, is introduced. Based on this algorithm, an efficient residue-to-binary converter is proposed for a general residue number system. The proposed converter achieves a significantly better performance in terms of area, time, and power consumption than existing devices. For the case of the 28-bit dynamic range, the proposed converter is about 20% faster while requiring only 70% of the area, compared to the best existing converter (Srikanthan et al, IEE Proc. Comput. Digit. Tech., vol. 145, no. 3, pp. 229-235, 1998). Also, the power consumption is reduced by 16% in high speed situations and 50% in low voltage situations.