ScholarLens Back to search
2016•arXiv (Cornell University)Open access

A New Algorithm to Compare the Magnitude of Two RNS Numbers

Parham Ghayour

Open full text 0 citations

Abstract

Comparison of two numbers in RNS systems is a challenging task. In this paper, a new algorithm to compare the magnitude of two RNS numbers, using a clustering method has been proposed. In the clustering process, each inputted number is assigned to a cluster. To compare the magnitude of two numbers, first the clusters of these numbers and their differences are obtained. Then by comparing these clusters, the relative magnitude of two numbers is determined. All of these processes are performed in RNS system without converting numbers to the binary system.

Open-access reader

About this research paper

What this paper is about

Comparison of two numbers in RNS systems is a challenging task. In this paper, a new algorithm to compare the magnitude of two RNS numbers, using a clustering method has been proposed. In the clustering process, each inputted number is assigned to a cluster. To compare the magnitude of two numbers, first the clusters of these numbers and their differences are obtained. Then by comparing these clusters, the relative magnitude of two numbers is determined. All of these processes are performed in RNS system without converting numbers to the binary system.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Comparison of two numbers in RNS systems is a challenging task. In this paper, a new algorithm to compare the magnitude of two RNS numbers, using a clustering method has been proposed. In the clustering process, each inputted number is assigned to a cluster. To compare the magnitude of two numbers, first the clusters of these numbers and their differences are obtained. Then by comparing these clusters, the relative magnitude of two numbers is determined. All of these processes are performed in RNS system without converting numbers to the binary system.

Key concepts: Magnitude (astronomy), Algorithm, Computer science, Physics, Astronomy

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A New Algorithm to Compare the Magnitude of Two RNS Numbers — Research Paper | ScholarLens