Low power and high speed multiplication design through mixed number representation


Apeksha Reddy, VI Sem, SDMCET, Dharwad
Ashroo M Das, VI Sem, SDMCET, Dharwad



Contents

INTRODUCTION
THE ALGORITHM AND ITS VLSI ARCHITECTURE
CONVERSION FROM TWO’S COMPLEMENT TO SM NOTATION
RADIX-4 BOOTH’S ALGORITHM
SPEEDING UP THE PP ACCUMULATION
CONVERTING THE RB NUMBER INTO TWO’S COMPLEMENT NUMBER
CONCLUSION
REFRENCES
ACKNOWLEDGEMENT


What is a multiplication ?
How is multiplication done?
With what s ....etc

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Presented by:B.V.PhaniSekhar
Survey of Matrix Multiplication Algorithms

Abstract
Matrix multiplication is one of the most fundamental operations in linear algebra and serves as the main building block in many different algorithms, including the solution of systems of linear equations, matrix inversion, evaluation of the matrix determinant, in signal processing, and the transitive closure of a graph. In several cases the ....etc

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Toom Cook Multiplication Algorithm
B.Tech Seminar Report
by
Fayyas Manzoor M
Department of Computer Science And Engineering
Government Engineering College, Thrissur
December 2010



Abstract
There are a number algorithms used for multiplication of large integers, Toom Cook
Multiplication Algorithm is one of them. What this algorithm does is that it divides
large numbers into smaller parts and perform operations on the parts. Multiplication
operations on smalle ....etc

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Montgomery Multiplication

Duncan A. Buell

abstract
Montgomery Multiplication Peter Montgomery has devised a way to speed up arithmetic in a context in which a single modulus is used for a long-running computation . This method has also been explored as a hardware operation . The basic idea goes back to a standard trick that has been used for arithmetic modulo Mersenne numbers.


Let Mn = 2n
−1 be the n-th Mersenne number. Assume that we are doing
arithmetic modulo Mn. Th ....etc

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Fast Redundant Binary Partial Product Generators for Booth Multiplication
Bijoy Jose and Damu Radhakrishnan
Department of Electrical and Computer Engineering
State University of New York
New Paltz, New York, USA 12561
[email protected], [email protected]
Abstract” The use of signed-digit number systems in
arithmetic circuits has the advantage of constant time addition
irrespective of word length. In this paper, we present the
design of a binary signed-digit partial product generator,
which expresses each normal binary opera ....etc

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An Introduction to Various Multiplication Strategies



Multiplication is one of the four basic operations of elementary arithmetic and is commonly defined as repeated addition. However, while this definition applies to whole number multiplication, some math researchers argue that it falls short for multiplication of fractions and other kinds of numbers. These mathematicians prefer to define multiplication as the scaling of one number by another, or as the process by which the product of two numbers is computed (Princ ....etc

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Abstract
In this paper we report on the development of an ecient and portable implementation
of Strassen's matrix multiplication algorithm. Our implementation is designed to be used in
place of DGEMM, the Level 3 BLAS matrix multiplication routine. Ecient performance
will be obtained for all matrix sizes and shapes and the additional memory needed for tem-
porary variables has been minimized. Replacing DGEMM with our routine should provide
a signicant performance gain for large matrices while providing the same performance for
....etc

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Veda, by definition, is ‘knowledge’. Hence
Vedic Math has a much ancient origin though attributed
to the techniques rediscovered between 1911-1918 (see
January 2003 column in Lotus). Mathematicians from
across the spectrum from Hindu, Buddha and Jaina subcultures
have contributed immensely to this body of
knowledge. To learn about Vedic Math in these columns,
I have two objectives.
I. First is to give a sense of the extent of
accomplishments of these scholars and rishis to
the readers. This I will do so by discussing
known works ....etc

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Hey
i am a b-tech 4th yr student and i am looking for project in grid computing.
Specially middle-ware if possible.
And as i am at dead line if its possible reply fast...
Thank you.... ....etc

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Many cryptography arithmetic operations employ the method of modular multiplication. The underlying binary adders in modular multipliers is targeted in this development. The carry-save adder, carry-lookahead adder and carry-skip adder have been studied and compared. They showed interesting features and trade-offs.improved crypto designs are promised by the beneficial details that the design shows.

MODULAR MULTIPLICATION
Modular multiplication is defined as the computation of P=A×B mod M, which are represented using n bits. ....etc

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