AffiliationDepartment of Electrical and Computer engineering, Shahid Beheshti University, G.C., Tehran, Tehran 1983963113, Iran
Faculty of Department of Computer engineering, University of Isfahan, Isfahan, Isfahan 8174673440, Iran
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DescriptionMultipliers are used in most arithmetic computing systems such as 3D graphics, signal processing, and etc. It is inherently a slow operation as a large number of partial products are added to produce the result. There has been much work done on designing multipliers -. In first stage, Multiplication is implemented by accumulation of partial products, each of which is conceptually produced via multiplying the whole multi-digit multiplicand by a weighted digit of multiplier. To compute partial products, most of the approaches employ the Modified Booth Encoding (MBE) approach -, , for the first step because of its ability to cut the number of partial products rows in half. In next step the partial products are reduced to a row of sums and a row of caries which is called reduction stage.
AbstractMultiplication is one of the major bottlenecks in most digital computing and signal processing systems, which depends on the word size to be executed. This paper presents three deferent designs for three-operand 4-bit multiplier for positive integer multiplication, and compares them in regard to timing, dynamic power, and area with classical method of multiplication performed on today architects. The three-operand 4-bit multipliers structure introduced, serves as a building block for three-operand multipliers in general
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Specification of economic base multipliers in small Arizona communitiesMulligan, Gordon F.; Vias, Alexander Carl, 1959- (The University of Arizona., 1995)Despite a wide assortment of problems that cover a broad range of topics, from questions and doubts about its theoretical underpinnings, to a host of application difficulties, economic base analysis still figures prominently in the geographic literature. This thesis uses the Arizona Community Data Set to examine two important issues that remain unresolved or inadequately addressed in the literature. The results presented support Tiebout's hypothesis that the Keynesian macroeconomic approach, emphasizing the role of all the sectors in an economy produces more reliable multipliers estimates than Hoyt's traditional approach. Additionally, it is shown that, through disaggregation, it is possible to use the relationships between sectoral basic and nonbasic employment to produce multipliers that resemble those obtained through input-output analysis. Overall the results suggest that with the use of reliable survey data the economic base concept can still produce valuable information on the effects of an impact in a small community.
THE APPLICATION OF BOUNDARY INTEGRAL TECHNIQUES TO MULTIPLY CONNECTED DOMAINS (VORTEX METHODS, EULER EQUATIONS, FLUID MECHANICS).Baker, Gregory R.; SHELLEY, MICHAEL JOHN.; Newell, Alan; Chen, C. F.; Burke, James (The University of Arizona., 1985)Very accurate methods, based on boundary integral techniques, are developed for the study of multiple, interacting fluid interfaces in an Eulerian fluid. These methods are applied to the evolution of a thin, periodic layer of constant vorticity embedded in irrotational fluid. Numerical regularity experiments are conducted and suggest that the interfaces of the layer develop a curvature singularity in infinite time. This is to be contrasted with the more singular vorticity distribution of a vortex sheet developing such a singularity in a finite time.