High Performance Adder Using Residue Number System

The Residue Number System based on 2 n 2 k -1 moduli set is used in the proposed model. There are more number of moduli sets among them the above mentioned one is having high performance than the other. Adder is one of the key components for the application of Residue number system (RNS). Moduli set 2 n -2 k -1 where n=16 and k=14 with the form can offer excellent balance among the RNS channels for multi-channels RNS processing. In this paper, a novel algorithm and its VLSI implementation are proposed for modular adder, where parallel prefix operation and carry correction techniques are used to eliminate re-computation of carries which reduces delay and area. Key Words—Carry correction, modular adder, parallel prefix, residue number system (RNS), VLSI.