Modular adder is one of the key components for the application of residue number system
(RNS). Moduli set with the form of 2 n-2 k-1 (1≤ k≤ n-2) can offer excellent balance among …

Residue number system (RNS) parameterized moduli sets almost always contain a power-of-
two modulo (eg 2 iq), where the corresponding computation channel and residue generator …

Modular adders are very crucial components in the performance of residue number system‐
based applications. Most of the work published so far has been restricted to modulo adders …

Two algorithms, both based around multiplication, one defined by Andrew Donald Booth in
1950 and the other defined by Anatoly Alexeevitch Karatsuba in 1960 can be applied to …

The residue number system t={2n--1, 2n, 2n+ 1} has been extensively studied towards
perfection in realization of efficient parallel prefix modular adders, with (3+ 2log n? G) …

We propose a balanced 5-moduli set P={2 q, 2 q− 1, 2 q+ 1− 1, 2 q+ 1+ 1, 2 q+ 2− 1}, for odd
q≥ 3. Our reverse conversion scheme is based on a multi-stage new Chinese remainder …

The most popular modulus in residue number systems (RNS), next to power-of-two modulus,
are those of the form (2 n-1). However, in RNS applications that require a larger dynamic …

Modular adders are employed in the implementation of multipliers, reverse converters,
digital signal processors, cryptography and other various residue number system …

The modular adder, a critical arithmetic component for residue calculations, is explored in
this study through its implementation on a field programmable gate array (FPGA) …

The residue numeral system (RNS) is a numerical representation of integers based on
modulo values. The RNS makes computing systems more efficient in terms of speed, power …