residue number system (rns) is a carry-free and non-weighed integer system. in this paper an improved three-moduli set  in reverse converter based on crt algorithm is proposed. crt algorithm can perform a better delay and hardware implementation in modules via other algorithms. this moduli is based on p that covers a wide range on modules and supports the whole range of its modules in dynamic r...

In this paper, a new reverse converter for the moduli set {2n, 2n–1, 2n–1–1} is presented. We improved a previously introduced conversion algorithm for deriving an efficient hardware design for reverse converter. Hardware architecture of the proposed converter is based on carry-save adders and regular binary adders, without the requirement for modular adders. The presented design is faster than...

In this paper, we propose two novel memoryless reverse converters for the moduli set {2 − 1, 2, 2 − 1}. The first proposed converter does not entirely cover the dynamic range while the second proposed converter covers the entire dynamic range. First, we simplify the Chinese Remainder Theorem in order to obtain a reverse converter that utilizes mod-(2 − 1) operation. Second, we further reduce th...

Residue Number System is a kind of numerical systems that uses the remainder of division in several different moduli. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers will increase the speed of the arithmetic operations in this system. However, the main factor that affects performance of system is hardware complexity of reverse converter. Reverse co...

The useful feature of residue number system (RNS) to peform addition, subtraction and multiplication without carry-chain between residue digits, has made RNS suitble for using in special-purpose digital computing systems. The total efficiency of an RNS system depends on the performance of reverse converter as well as arithmetic unit. Due to this, many researches have been done on designing reve...

Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...

Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...

In this paper an efficient high step-up converter with a coupled- inductor with soft- switching operation is presented. The proposed topology includes a coupled-inductor boost converter for raising the voltage gain. Moreover, a simple auxiliary resonant circuit composed of an auxiliary switch, a clamping diode and a resonant tank (inductor, capacitor), is adopted in this paper. The coupled-indu...

In this paper, we propose a new efficient reverse converter for the 4-moduli set { 2, 2 + 1, 2 − 1, 2 − 1 } based on a modified Chinese Remainder Theorem and Mixed Radix Conversion. Additionally, the resulting architecture is further reduced to obtain a reverse converter that utilizes only carry save adders, a multiplexer and carry propagate adders. The proposed converter has an area cost of (1...

This paper presents low-power implementation of residue number system (RNS) reverse converter based on an improved ripple carry adder (RCA) with end-around carry (EAC). The presented RCA with EAC uses modified full adders to achieve the ability of correcting double-representation of zero. The implementation results shows that the reverse converter with the modified RCAs with EAC achieves better...