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A high-speed fixed width floating-point multiplier using residue logarithmic number system algorithm

The International Journal of Electrical Engineering & Education, 2018
The Residue Logarithmic Number System (RLNS) in digital mathematics allows multiplication and division to be performed considerably quickly and more precisely than the extensively used Floating-Point number setups.
J JENCY RUBIA, G. Sathish Kumar
semanticscholar   +1 more source

Optimizing Residue Number System on FPGA

2016 IEEE International Conference on Internet of Things (iThings) and IEEE Green Computing and Communications (GreenCom) and IEEE Cyber, Physical and Social Computing (CPSCom) and IEEE Smart Data (SmartData), 2016
Originated from Chinese Remainder Theorem in the 4th century AD, Residue Number System (RNS) has been regarded as a promising number representation method in the field of digital computer arithmetic. Even though reconfigurable hardware devices such as Field Programmable Gate Arrays (FPGA) have been a popular platform for RNS applications due to its ...
Jiahe Liu, Bangtian Liu, Haohuan Fu
openaire   +1 more source

Applications of Residue Number Systems

2002
In this Chapter, some applications of Residue Number System described in literature are reviewed so as to illustrate the various possibilities. Specifically, Digital to Analog Converters, FIR filters, IIR filters, Adaptive filters, 2-D FIR filters and Digital Frequency Synthesis are considered.
openaire   +1 more source

Reversible watermarking using Residue Number System

2011 7th International Conference on Information Assurance and Security (IAS), 2011
Reversible watermarking is a process in which the watermark is embedded in such a way that when the watermarked image passes through the authentication process, the original image is also recovered exactly along with watermark. Restoring the original image is important for the applications such as medical, military and law-enforcement etc.
null Atta-ur-Rahman   +3 more
openaire   +1 more source

Integrated Photonic Residue Number System Arithmetic

Advanced Photonics 2018 (BGPP, IPR, NP, NOMA, Sensors, Networks, SPPCom, SOF), 2018
Here we show a residue number system (RNS) engine based on integrated nanophotonics. The digit-wise shifting in RNS arithmetic is expressed as spatial routing of an optical signal in 2x2 hybrid photonic-plasmonic switches.
Volker J. Sorger   +4 more
openaire   +1 more source

Residue Number Systems

2021
Antonio Lloris Ruiz   +4 more
openaire   +1 more source

A Method for Implementing the Operation of Modulo Addition of the Residues of Two Numbers in the Residue Number System

Cybernetics and Systems Analysis, 2020
V. Krasnobayev   +3 more
semanticscholar   +1 more source

Modular arithmetic and residue number systems

2010
Introduction In many applications integer computations are to be performed modulo some given constant. One such area is cryptology, where often multiplications, inversions, and exponentiations are to be performed modulo some very large integer. Hence we shall here investigate algorithms for such operations in their own right, but also because these ...
openaire   +1 more source

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