How to teach residue number system to computer scientists and engineers

K Navi, AS Molahosseini… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
The residue number system (RNS) has been an important research field in computer
arithmetic for many decades, mainly because of its carry-free nature, which can provide high …

An improved RNS reverse converter for the {22n+1−1, 2n, 2n−1} moduli set

KA Gbolagade, R Chaves, L Sousa… - Proceedings of 2010 …, 2010 - ieeexplore.ieee.org
In this paper, we propose a novel high speed memoryless reverse converter for the moduli
set {2 2n+ 1-1, 2 n, 2 n-1}. First, we simplify the traditional Chinese Remainder Theorem in …

A comparative study on different moduli sets in residue number system

D Younes, P Steffan - 2012 International Conference on …, 2012 - ieeexplore.ieee.org
This paper presents a comparative study on different moduli sets that are used in the
Residue Number System (RNS). Choosing a proper moduli set is one of the most important …

An effective New CRT based reverse converter for a novel moduli set {22n+1 − 1, 22n+1, 22n − 1}

EK Bankas, KA Gbolagade… - 2013 IEEE 24th …, 2013 - ieeexplore.ieee.org
In this paper, a novel 3-moduli set {2 2n+ 1− 1, 2 2n+ 1, 2 2n− 1}, which has larger dynamic
range when compared to other existing 3-moduli sets is proposed. After providing a proof …

Efficient MRC-Based Residue to Binary Converters for the New Moduli Sets {22n, 2n -1, 2n+1 -1} and {22n, 2n -1, 2n-1 -1}

AS Molahosseini, C Dadkhah, K Navi… - IEICE transactions on …, 2009 - search.ieice.org
In this paper, the new residue number system (RNS) moduli sets {2 2n, 2 n-1, 2 n+ 1-1} and
{2 2n, 2 n-1, 2 n-1-1} are introduced. These moduli sets have 4n-bit dynamic range and well …

Analysis and design of residue number system based building blocks

S Akhter, G Raturi, S Khan - 2018 5th International Conference …, 2018 - ieeexplore.ieee.org
This paper deals with designing of RNS (Residue Number System) based building blocks
for applications in digital signal processing. RNS provides parallel, carry free operations and …

Efficient RNS converter via two-part RNS

S TaghipourEivazi, M Hosseinzadeh… - Journal of Circuits …, 2015 - World Scientific
In this paper, a high speed residue to binary converter for three moduli set {2n-1, 2n+ 1, 2n}
is presented in this paper, which uses two-part RNS and is based on mixed radix conversion …

AN EFFICIENT REVERSE CONVERTER FOR THE NEW FOUR-MODULI SET {22n, 2n+1 - 1, 2n/2 + 1, 2n/2 - 1}

M Noorimehr, M Hosseinzadeh… - Journal of Circuits …, 2011 - World Scientific
In this paper, the new four-moduli set {22n, 2n+ 1-1, 2n/2+ 1, 2n/2-1} for even n is
introduced. This moduli set has 4n-bit dynamic range and well-formed moduli which result in …

Residue-to-binary converters for the moduli set {22n+1-1,22n,2n-1}

KA Gbolagade, R Chaves, L Sousa… - … on Adaptive Science …, 2009 - ieeexplore.ieee.org
In this paper, we propose two memoryless converters for the moduli set {2 2n+ 1-1, 2 2n, 2 n-
1}. First, we propose a novel reverse converter, which is purely adder based, using the …

A new design of reverse converter for a three-moduli set

AS Molahosseini, S Sezavar… - … Symposium on Intelligent …, 2009 - ieeexplore.ieee.org
The residue number system (RNS) is a non-weighted number system which can result in
high-speed and low-power implementation of digital signal processing (DSP) computation …