The residue number system (RNS) is a non-positional number system that allows one to
perform addition and multiplication operations fast and in parallel. However, because the …

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 …

Hardware realization of FIR filters that are based on residue number systems leads to
increased speed and reduced power, where besides the popular Mersenne numbers …

Given the efficiency of the residue number system in high-speed and low-power
applications, a wide variety of moduli sets have been introduced in the literature. Selecting …

Diminished-1 representation of modulo-residues provides for delay-balanced adders for the
popular moduli set. Besides, conjugacy of moduli leads to efficient multiple-residue to binary …

Numerous contributions on reverse conversion methods based on the Chinese Remainder
Theorem (CRT), for residue number systems (RNS), have been regularly appearing in …

Abstract Diminished-1 (D1) encoding, recodes each modulo-(2 n+ 1) residue r∈[1, 2 n] with
(n+ 1)-bit normal encoding (NE) to n-bit codes r′= r− 1∈[0, 2 n− 1], where an exclusive …

Moduli-set is often the base of choice for realization of digital computations via residue
number systems. The optimum arithmetic performance in parallel residue channels, is …

Modulo-$(2^ q+ 2^{q-1}\pm 1) $ adders have recently been implemented using the regular
parallel prefix (RPP) architecture, matching the speed of the widely used modulo-$(2^ q\pm …