In this paper, we introduce two new 4-moduli sets {2 n-1, 2 n, 2 n+ 1, 2 2n+ 1-1} and {2 n-1, 2
n+ 1, 2 2n, 2 2n+ 1} for developing efficient large dynamic range (DR) residue number …

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 …

Residue number systems (RNSs) are efficient alternatives to positional number systems,
providing fast and power-efficient computational systems. The key feature of the RNS …

2's complement number system imposes a fundamental limitation on the power and
performance of arithmetic circuits, due to the fundamental need of cross-datapath carry …

Inter-modulo operations are the most time consuming and costly operations of the residue
number system (RNS), and one of the main obstacles to applying RNS in practice to the …

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 …

In this paper, we propose an efficient hardware implementation of the reverse converter for
the new five-moduli set {2 n, 2 n/2− 1, 2 n/2+ 1, 2 n+ 1, 2 2n− 1− 1} for even n. The converter …

The application of residue number system (RNS) to digital signal processing lies in the
ability to operate on signed numbers. However, the available RNS-to-binary (reverse) …

In this paper, a new reverse converter for the moduli set {2 n− 1, 2 n, 2 n+ 1, 2 n+ 1− 1} is
presented. We improved a previously introduced reverse converter architecture for deriving …

Efficient modulo 2n+ 1 adders are important for several applications including residue
number system, digital signal processors and cryptography algorithms. In this paper we …