A 4x4 and 8x8 bit multiplier is demonstrated based on the Chinese abacus. As comparing the simulation result of this work with the speed of the 4x4 and 8x8 bits Braun array multiplier, the delays of the 8-bit abacus multiplier are 14% and 7.5% less than that of Braun array multiplier with 0.35μm and 0.18μm technologies, respectively. Meanwhile, the power consumption of the 8-bit abacus multipli...

Two’s complement multipliers are important for a wide range of applications. Paper describes a technique to reduce by one row the maximum height of the partial product array generated by Radix-4 Booth’s multiplier, without any increase in the delay of the partial product generation stage. The design of 8 bit and 16 bit multiplication scheme using different types of multiplier like Array multipl...

Multiplier is one of the essential element for all digital systems such as digital signal processors, microprocessors etc. In this paper, a new high speed multiplier using booth recoding technique is presented. This algorithm can be implemented by using the radix-8 booth recoding process. The proposed multiplier reduces the partial product array by almost 3/4 th the size of the bits. This reduc...

the present paper is an attempt to: 1- demonstrate how money is created (by the nature of the system), and to estimate the inflation resulting from monetary factors in both usurious and non-usurious systems. operational aspects of islamic and non-islamic banking systems are compared. 2- introduce a corrective term to be added to the multiplier of the supply of money, in order to prevent the und...

in this paper, we introduce the notion of multiplier in -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and ( -derivations in -algebras. we introduce the concept of idempotent multipliers in bl-algebra and weak congruence and obtain an interconnection between idempotent multipliers and weak congruences. also, we introduce...

N-gram indexing is used in many practical applications. Spam detection, plagiarism detection or comparison of DNA reads. There are many data structures that can be used for this purpose, each with different characteristics. In this article the ternary search tree data structure is used. One improvement of ternary tree that can save up to 43% of required memory is introduced. In the second part ...

In this paper we investigate some properties of congruences on ternary semigroups. We also define the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a relation R on T. Furthermore we study the lattice of congruences on a ternary semigroup and we show that this lattice is not generally modular...

Physical limitations of Complementary Metal-Oxide-Semiconductors (CMOS) technology at nanoscale and high cost of lithography have provided the platform for creating Quantum-dot Cellular Automata (QCA)-based hardware. The QCA is a new technology that promises smaller, cheaper and faster electronic circuits, and has been regarded as an effective solution for scalability problems in CMOS technolog...

Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...