15-01-2014, 03:00 PM
Vedic Mathematics for Faster Mental Calculations and High Speed VLSI Arithmetic
Vedic Mathematics.ppt (Size: 730.5 KB / Downloads: 99)
Introduction
Vedic Mathematics is introduced by Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaja (1884-1960).
Vedic means derived from Vedas or another definition by Sri Sankaracharya is “the fountain head and illimitable store house of all knowledge”.
Based on Sixteen Simple Mathematical formulae from the Vedas accumulated in a book ‘Vedic Mathematics’ by Swamiji
Prof. Kenneth Williams from U.K and many other researchers have done significant study on Vedic Maths.
Many books on Vedic Maths and its application are written by Prof. Kenneth Williams and other researchers.
Duplex for Binary Number
In order to calculate the square of a number “Duplex” D property of binary numbers has been taken advantage of. In the Duplex, we take twice the product of the outermost pair, and then add twice the product of the next outermost pair, and so on till no pairs are left. When there are odd number of bits in the original sequence, there is one bit left by itself in the middle, and this enters as such.
Proposed Square
The proposed square architecture is an improvement over partition multipliers in which the NXN bit multiplication can be performed by decomposing the multiplicand and multiplier bits into M partitions where M=N/K ( here N is the width of multiplicand and multiplier(divisible by 4 ) and K is a multiple of 4 such as 4, 8 , 12 ,16……….. 4* n). The partition multipliers are the fastest multipliers implemented in the commercial processors and are much faster than conventional multipliers.
Conclusions
Vedic Maths algorithms leads to faster mental calculation.
High speed VLSI arithmetic architectures can be derived from Vedic Maths
Due to its parallel and regular structure the Vedic algorithms can be easily laid out on silicon chip .
This presentation is a tribute to a great scholar and mathematician Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaja.
Vedic maths India forum lead by Gaurav Tekriwal is doing a great job in promoting the Vedic Maths among the students.