Residue Number System (RNS) is a carry-free and non-weighed integer system. In this paper an improved three-moduli set  in reverse converter based on CRT algorithm is proposed. CRT algorithm can perform a better delay and hardware implementation in modules via other algorithms. This moduli is based on p that covers a wide range on modules and supports the whole range of its modules in dynamic r...

residue number system (rns) is a carry-free and non-weighed integer system. in this paper an improved three-moduli set  in reverse converter based on crt algorithm is proposed. crt algorithm can perform a better delay and hardware implementation in modules via other algorithms. this moduli is based on p that covers a wide range on modules and supports the whole range of its modules in dynamic r...

residue number system (rns) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called module set. the main characteristics and advantage of residue number system is reducing carry propagation in calculations. the elimination of carry propagation leads to the possibility of maximizing parallel processing and reduc...

Residue Number System (RNS) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called module set. The main characteristics and advantage of residue number system is reducing carry propagation in calculations. The elimination of carry propagation leads to the possibility of maximizing parallel processing and reduc...

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...

This doctoral thesis deals with designing residue number system based building blocks to enhance the performance of digital signal processing applications. The residue number system (RNS) is a non-weighted number system that provides carry-free, parallel, high speed, secure and fault tolerant arithmetic operations. These features make it very attractive to be used in high-performance and fault ...

Abstract In this paper, we deal with the critical problem of performing non-modular operations in Residue Number System (RNS). The Chinese Remainder Theorem (CRT) is widely used many modern computer applications. Throughout article, an efficient approach for implementing CRT algorithm described. structure rank RNS number, a principal positional characteristic residue code, investigated. It show...

Residue Number System (RNS) is a method for representing an integer as an n-tuple of its residues with respect to a given base. Since RNS has inherent parallelism, it is actively researched to implement fast public-key cryptography using RNS. This paper derives the exact error bound of approximation on the Cox-Rower architecture which was proposed for RNS modular multiplication. This is the tig...

In this paper, the design of a Finite Impulse Response (FIR) filter based on the residue number system (RNS) is presented. We chose to implement it in the (RNS), because the RNS offers high speed and low power dissipation. This architecture is based on the single RNS multiplier-accumulator (MAC) unit. The three moduli set 1 {2 ,2 ,2 1} n n n + − , which avoids 2 1 n + modulus, is used to design...

The residue number system (RNS) is a carry-free number system which can support high-speed and parallel arithmetic. Two major issues in efficient design of RNS systems are the moduli set selection and the residue to binary conversion. In this paper, we present two efficient residue to binary converters for the new three-moduli set {2, 2 + 1, 2 – 1}. This moduli set consists of pairwise relative...