The paper presents the concepts behind the "Urdhva Tiryagbhyam Sutra" and "Nikhilam Sutra" multiplication techniques. It then shows the architecture for a 16×16 Vedic multiplier module using Urdhva Tiryagbhyam Sutra. The paper then extends multiplication to 16×16 Vedic multiplier using "Nikhilam Sutra" technique. The 16×16 Vedic multiplier module using Urdhva Tiryagbhyam Sutra uses four 8×8 Ved...

Vedic mathematics is the system of mathematics followed in ancient Indian and it is applied in various mathematical branches. The word “Vedic” represents the storehouse of all knowledge. Because using Vedic Mathematics, the arithmetical problems are solved easily. The mathematical algorithms are formed from 16 sutras and 13 up-sutras. But there are some limitations in each sutra. Here, two sutr...

In this paper VHDL implementation of complex number multiplier using ancient Vedic mathematics and conventional modified Booth algorithm is presented and compared. The idea for designing the multiplier unit is adopted from ancient Indian mathematics "Vedas". The Urdhva Tiryakbhyam sutra (method) was selected for implementation since it is applicable to all cases of multiplication. Multiplicatio...

this paper portrays for the design of an area efficient 4×4 Vedic Multiplier by using Vedic Mathematics algorithms. Out of the 16 sutras the Urdhva -Tiryakbhyam sutra is being discussed and implemented because this sutra is applicable to all cases of algorithm for n×n bit numbers and gives minimum delay for multiplication of all types of numbers. The complete multiplier is designed using VHDL l...

In this Paper, Urdhva tiryakbhyam Sutra is first applied to the binary number system and is used to develop digital multiplier architecture. This is shown to be very similar to the popular array multiplier architecture. This Sutra also shows the effectiveness of to reduce the NXN multiplier structure into an efficient 4X4 multiplier structures. Nikhilam Sutra is then discussed and is shown to b...

In this paper, the authors have compared the efficiency of the Karatsuba multiplier using polynomial multiplication with the multiplier implementing Vedic mathematics formulae (sutras), specifically the Nikhilam sutra. The multipliers have been implemented using Spartan 2 xc2s200 pq208 FPGA device having speed grade of -6. The proposed Karatsuba multiplier has been found to have better efficien...

This paper proposed the design of high speed Vedic Multiplier using the techniques of Ancient Indian Vedic Mathematics that have been modified to improve performance. Vedic Mathematics is the ancient system of mathematics which has a unique technique of calculations based on 16 Sutras. The work has proved the efficiency of Urdhva Triyagbhyam– Vedic method for multiplication which strikes a diff...

Digital signal processor, image signal processor and FIR filters have multipliers as an important part of their design. On the basis of Vedic mathematics, Vedic multipliers have come out to be very fast multipliers. One of the image processing applications is edge detection. This research presents a small area and high speed 8 bit Vedic multiplier system comprising of compressor based adders. T...

Knowingly or unknowingly we always use Vedic Sutras in everyday world of technology. As an example, whenever we use i<-i+1 or i<--i−1 in software routines, we use ‘EkadhikinaPurvena’ and ‘EkanyunenaPurvena’ Sutras respectively. Likewise, many Vedic sutras are used in multiplier unit of computer. It will give faster results, which is very much required in various applications like cryptographic ...

ABSTRACT: Several new generation wideband data communication systems nowadays, have adopted Orthogonal Frequency division Multiplexing technique. FFT/IFFT is one of the main kernel in the OFDM system, therefore, special attention needs to be given to optimize the FFT block. Hence, utilizing low power, area efficient as well as high speed multipliers and adders in Fast Fourier Transform will ens...