Complexity of silicon integrated circuits (IC) in very large scale of integration (VLSI) using binary logic is reaching a point where most of the silicon area is occupied with interconnecting lines among devices on the chip, which represents a drawback of the approach. First implication of the high wiring complexity is increased packing complexity with increased number of pins (in today's VLSI ...

Abstract With the development of information age, there is an increasing trend towards mixed precision and vector operations in floating point arithmetic. Traditional floating-point arithmetic usually implemented using multiple modules to ensure required speed. Still, this approach significantly increases area reduces efficiency, resulting wastage hardware resources. This paper focuses on optim...

Infimum-supremum interval arithmetic is widely used because of ease of implementation and narrow results. In this note we show that the overestimation of midpoint-radius interval arithmetic compared to power set operations is uniformly bounded by a factor 1.5 in radius. This is true for the four basic operations as well as for vector and matrix operations, over real and over complex numbers. Mo...

Arithmetic coding provides an e ective mechanism for removing redundancy in the encoding of data. We show how arithmetic coding works and describe an e cient implementation that uses table lookup as a fast alternative to arithmetic operations. The reduced-precision arithmetic has a provably negligible e ect on the amount of compression achieved. We can speed up the implementation further by use...

Residue Number System (RNS) has computational advantages for large integer arithmetic. It provides the benefits of parallel, carry-free, and high-speed arithmetic in addition, subtraction, and multiplication. However, overflow detection, sign detection, magnitude detection, and division are time-consuming operations in RNS. The most interesting one of the above operations is division, and many ...

The Residue Number System (RNS) is an efficient alternative number system which has been attracted researchers for over three decades. In RNS, arithmetic operations such as addition and multiplication can be performed on residues without carry-propagation between them; resulting in parallel arithmetic and high-speed hardware implementations (Parhami, 2000; Mohan, 2002; Omondi & Premkumar, 2007)...

Present era of the mobile computing and multimedia technology demands high performance and low power Very Large Scale Integrated Circuit (VLSI) digital signal processing (DSP) systems. The availability of larger Field Programmable Gate Array (FPGA) devices has started a shift of System-on-Chip (SoC) designs towards using reprogrammable FPGAs, thereby starting a new era of System-on-a-reprogramm...

in this paper, a new method is introduced for improving the efficiency of the residue number system, which uses both binary and residue representations in order to represent a number. a residue number system uses the remainder of the division in several different modules. conversion of a number to smaller ones and carrying out parallel calculations on these numbers greatly increase the speed of...