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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MODELS OF ANALOG VLSI LOW-NOISE MULTIPLIERSDalloul, Nizar M.; Baghdady, Elie J.; Boston University, College of Engineering Boston (International Foundation for Telemetering, 1986-10)The class of Steerable Localized Injection Multipliers (SLIM) is known to be of high speed with least self-noise among all known analog multiplication techniques, and to be highly suited for VLSI implementation. SLIM design with predictable bounds on multiplication error due to intrinsic circuit noise requires valid noise generation modeling. Two models of SLIM noise sourcing are formulated: a small-signal model and a largesignal model. These noise models were simulated using SPICE to determine the power spectral density of SLIM output noise. The output power spectral density was shown to be flat over the frequency range up to 100MHZ, in agreement with prior experimental results.
A Nahuatl method of compound word structure: Addition and multiplier juncturesZepeda, Ofelia; Amador, Tomas Gonzales Xocotl (The University of Arizona., 2001)This work intends to analyze Nahuatl mathematical structures and a minimal relationship to text, speech and literal ideographic writing. In section I there will be a historical background of language concepts in compound nouns and verbs. In section II questions will be listed concerning multiplier junctures, and section III the methods that will be used to obtain data and create a list of literal roots and stems of ideographic-image compound elements. Section IV will list the ideographic categories of the roots and stems of compound words. Section V through XII is the body of this work, compound number structures, singular and dual compound expressions with compound word trees, translation applications and cross reference matching. Mathematical structures and graphic representations of compound words will include literal morphological glosses. Translation applications will show the results of the juncture root or stem method of analysis. Multiplier structure with plurals will be addressed.