Vedic Maths in Computer Organisation

Published: 2021-06-29 07:09:59
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CHAPTER 1: INTRODUCTION

In ancient times, Rishis, or the saints had acquired a deep understanding of the subject and regarded Mathematics as fun and not an unavoidable drudgery. They put down their thoughts in form of Sutras, which form a part of the Atharvaveda as appendices.
The formulae as stated in Atharvaveda make calculations simple and fast by utilizing techniques like addition and subtraction accompanied with low level multiplication and division to solve complex problems of mathematics involving higher order multiplication, division, squares, cubes, square roots, cube roots etc.
Vedic mathematics is the name given to the ancient system of mathematics, or, to be precise, a unique technique of calculations based on simple rules and principles with which any mathematical problem can be solved - be it arithmetic, algebra, geometry or trigonometry. The system is based on 16 Vedic sutras or aphorisms, which are actually word formulae describing natural ways of solving a whole range of mathematical problems. Vedic mathematics was rediscovered from the ancient Indian scriptures between 1911 and 1918 by Sri Bharati Krishna Tirthaji (1884-1960), a scholar of Sanskrit, mathematics, history and philosophy [1]. He studied these ancient texts for years and, after careful investigation, was able to reconstruct a series of mathematical formulae called sutras.

Bharati Krishna Tirthaji, who was also the former Shankaracharya (major religious leader) of Puri, India, delved into the ancient Vedic texts and established the techniques of this system in his pioneering work, Vedic Mathematics (1965), which is considered the starting point for all work on Vedic mathematics. Vedic mathematics was immediately hailed as a new alternative system of mathematics when a copy of the book reached London in the late 1960s.

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Some British mathematicians, including Kenneth Williams, Andrew Nicholas and Jeremy Pickles, took interest in this new system. They extended the introductory material of Bharati Krishna's book, and delivered lectures on it in London. In 1981, this was collated into a book entitled Introductory Lectures on Vedic Mathematics [2]. A few successive trips to India by Andrew Nicholas between 1981 and 1987 renewed interest in Vedic mathematics, and scholars and teachers in India started taking it seriously.

According to Mahesh Yogi, The sutras of Vedic Mathematics are the software for the cosmic computer that runs this universe. A great deal of research is also being carried out on how to develop more powerful and easy applications of the Vedic sutras in geometry, calculus and computing.

Conventional mathematics is an integral part of engineering education since most engineering system designs are based on various mathematical approaches. All the leading manufacturers of microprocessors have developed their architectures to be suitable for conventional binary arithmetic methods. The need for faster processing speed is continuously driving major improvements in processor technologies, as well as
the search for new algorithms. The Vedic mathematics approach is totally different and considered very close to the way a human mind works. A large amount of work has so far been done in understanding various methodologies (sutras). However, hardly any meaningful applications of Vedic algorithms have been thought of. In this report, we show how a successful attempt has been made to present two and three-digit multiplication operations and the implementation of these using both conventional, as well as Vedic, mathematical methods in 8085/8086 microprocessor assembling language. We also highlight a comparative study of both approaches in terms of processing times (T states).

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