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High-performance computing based on residue number system: a review
V Balajishanmugam - 2023 9th International Conference on …, 2023 - ieeexplore.ieee.org
The speed of arithmetic operation is associated with the quantity of the numbers involved.
Residue Number System (RNS) is used to characterize a more significant numeral using a …
Residue Number System (RNS) is used to characterize a more significant numeral using a …
Residue-to-binary converters based on new Chinese remainder theorems
The speed of arithmetic operations depends on the size of the numbers involved. Smaller
numbers have faster operations. That is exactly the reason why residue number systems are …
numbers have faster operations. That is exactly the reason why residue number systems are …
High-speed and reduced-area modular adder structures for RNS
A modular adder is a very instrumental arithmetic component in implementing online residue-
based computations for many digital signal processing applications. It is also a basic …
based computations for many digital signal processing applications. It is also a basic …
RNS-to-Binary Converters for Two Four-Moduli Sets and
In this paper, reverse converters for two recently proposed four-moduli sets {2 n-1, 2 n, 2 n+
1, 2 n+ 1-1} and {2 n-1, 2 n, 2 n+ 1, 2 n+ 1+ 1} are described. The reverse conversion in the …
1, 2 n+ 1-1} and {2 n-1, 2 n, 2 n+ 1, 2 n+ 1+ 1} are described. The reverse conversion in the …
Residue-to-binary arithmetic converter for the moduli set (2/sup k/, 2/sup k/-1, 2/sup k-1/-1)
This paper presents a new algorithm which converts moduli (2/sup k/, 2/sup k/-1, 2/sup k-1/-
1) residue numbers to their binary equivalents; it is the first converter which has been …
1) residue numbers to their binary equivalents; it is the first converter which has been …
New Chinese remainder theorems
The residue-to-binary conversion is the crucial step for residue arithmetic. The traditional
methods are the Chinese remainder theorem (CRT) and the mixed radix conversion. This …
methods are the Chinese remainder theorem (CRT) and the mixed radix conversion. This …
A study of the residue-to-binary converters for the three-moduli sets
In this paper, a detailed study on the four three-moduli sets reported in the literature is
carried out from the point of view of the hardware complexity and speed of their residue-to …
carried out from the point of view of the hardware complexity and speed of their residue-to …
A high-speed residue-to-binary converter for three-moduli (2/sup k/, 2/sup k/-1, 2/sup k-1/-1) RNS and a scheme for its VLSI implementation
In this paper, a high-speed residue-to-binary converter for the moduli set (2/sup k/, 2/sup k/-
1, 2/sup k-1/-1) is proposed. Compared to the previous converter based on this moduli set …
1, 2/sup k-1/-1) is proposed. Compared to the previous converter based on this moduli set …
A new class of monotone functions of the residue number system
This paper presents a new class of monotone functions that can be computed from the
Residue Number System (RNS) to the integers. On the basis of these functions new …
Residue Number System (RNS) to the integers. On the basis of these functions new …
New reverse converters for the moduli set {2n-3, 2n-1, 2n+ 1, 2n+ 3}
PVA Mohan - AEU-International Journal of Electronics and …, 2008 - Elsevier
In this paper, three reverse converters for a recently proposed balanced moduli set {2n-3,
2n+ 1, 2n-1, 2n+ 3} are presented. The first proposed converter is based on mixed radix …
2n+ 1, 2n-1, 2n+ 3} are presented. The first proposed converter is based on mixed radix …