GANITA SUTRAS PDF

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Log In Sign Up. Implementation and analysis of Veda Ganitha Sutras. Preethu Shenoy. The designers are working on to reduce the size, Vedangas. Veda Ganitha is an ancient technique, which execution time and power consumed by the processor. To simplifies multiplication, divisibility, operation on complex increase the speed of any processor, the speed of ALU arithmetic and logic unit has to be increased.

Arithmetic and numbers, squaring, cubing, and square and cube roots. Even, logic unit is a fundamental building block of CPU which is a recurring decimal and auxiliary fractions can be handled by digital circuit that performs integer arithmetic and logic Vedic Mathematics. The speed of the Arithmetic and logic unit depends to the world by Swami Bharathi Krishna ThirthaJi on multipliers and adders. With the help of Veda ganitha, we Maharaj , Former Jagadguru Sankaracharya of can reduce the execution time, area, complexity and power Govardhan Peeth,Puri.

Veda Ganitha is an ancient technique, from the writings of Stapathya Veda, an Upaveda of which simplifies multiplication, divisibility, operation on Atharvaveda and wrote them in the form of sixteen sutras complex numbers, cubing, squaring, and square and cube aphorisms and thirteen sub- sutras corollaries.

Any roots. Veda ganitha is unique technique of calculations based on sixteen sutras aphorisms and thirteen sub sutras mathematical problems like arithmetic, algebra, corollaries.

In this paper we propose to implement Urdwa trigonometry or geometry can be solved mentally using Veda tiryagbhyam, Nikhilam navatascharamam dasatah, Ganitha sutras. By employing these Veda solving the problems, compared to the present methods. The ganitha sutras in the computation algorithms of the ALU, the application of the Sutras is perfectly logical and rational. The complexity, execution time, area, power etc can be reduced.

Speed grade is Synthesis results are any mathematical problems can be easily solved mentally compared to conventional method.

Vedic Sutras I. Veda Ganitha is A. Veda Ganitha mainly based on sixteen sutras aphorisms and thirteen sub- The Sanskrit word Veda is derived from the root Vid, sutras corollaries. These sutras deals with various branches meaning to know without limit. The word Veda covers all of mathematics like Arithmetic, Geometry, Algebra, Veda-sakhas known to humanity.

These Sutras, along with their brief divided into four. Vedic Mathematics or Veda Ganitha is [1]. The digit 3 is retained and 1 is carried over to left side. Sub-sutra: nur pyena-Proportionately. Now 2 are retained and 1 is carried over to left 36 sides. The carried over 1 of sum of the factors. Above step is added. It is retained. As there is no carried over number from 7 Nikhilam Navata charamam Da atah — All from 9 and the the previous step it is retained.

Method of Urdhva-tiryagbhyam penultimate. Sub-sutra: Gunitha samuchchayah samuchchayah gunitah-The product of sum of the coefficients in the factors is equal to the sum of the coefficients in the product. Sub-sutra: dyam dyenantyamantyena-First by first and last by last. Sub-sutra: samuchchayah gunitah [1] III.

Urdhva-tiryagbhyam sutra Fig. In this fig. To illustrate this multiplication method, let us 8 bit multiplicand A can be decomposed into pair of 4 bits consider the multiplication of two decimal numbers AH-AL.

The conventional methods already known to us BH-BL. This is much more difficult and of no use. Nikhilam navatascharamam dasatah sutra ways. We can solve the problem. Example: 42 X For 95, the deviation can be property of Urdhva tiryagbhyam sutra.

For Sutra is used. The first one is by squaring and the other Column 2 consisting of their compliments. The the second one is by cross multiplication. The RHS right hand side of the product can be obtained by simply multiplying the numbers of the Column 2 i. The LHS left hand side of the product can be found by cross subtracting the second number of Column 2 from the first number of Column 1 or vice versa, i. To find the Duplex, we take twice the product of the outermost pair and then add twice the product of the next outermost pair and so Fig.

Method of Nikhilam Sutra on till no pairs are left. When there are odd numbers of bits in C. Anurupyena sutra the original sequence, there is one bit left by itself in the middle and this enters as its square. Thus for , The upa-Sutra 'Anurupyena' means 'proportionality'. For a 2 bit number D is twice their product. Area and delay Fig. In this 32 bit NO. The Vedic square has all the Urdhva advantages as it is quite faster and smaller than the Booth tiryagbhyam array and Urdhva Vedic multiplier.

Vedic Cube Algorithm Anurupye unsigned bits Urdhva tiryagbhyam The cube of the number is based on the Anurupyena Sutra of Vedic In final stage carry save adders are used to obtain the result. Area and delay NO. Area and Delay 8 bit NO. Logic synthesis and simulation are done in method Xilinx Synthesis results are compared to conventional method.

The comparison of these tables delay in square architecture for 8x8 using conventional is shows the difference in combinational delays and device Also, delay in cube utilization. Thus, proposed method outperforms architecture for 8x8 using conventional is Simulation result for 8-bit squaring using dwanda yoga Fig. Simulation result for 8-bit cubing using Anurupye V.

The number of adder and multiplier are reduced; hence it also reduces the power requirements. Related Papers. Vedic Multiplier. By Krishnaveni Dhulipala. By karpagam masanan. Download pdf. Remember me on this computer. Enter the email address you signed up with and we'll email you a reset link. Need an account? Click here to sign up.

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April 14, by Neelu Soni. As defined by Wiki, Mathematics is the study of quantity, structure, space and change. This knowledge is essential for gaining expertise in various other fields like natural science, engineering, medicine, and the social sciences. Hence it is an essential part of our school curriculum. When I was a student, I was not very good at Mathematics. Especially when it came to quickly solving problems, it was one of my major shortcomings. It was difficult to understand and I was scared of it.

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