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Implementation of N-Bit Binary Multiplication Using N - 1 Bit Multiplication Based on Nikhilam Sutra and Karatsuba Principles Using Complement Method

引用

Circuits and Systems 2016年第9期7卷 2332-2338页

作者： M. Nisha Angeline S. Valarmathy Department of ECE Velalar College of Engineering and Technology Erode India Department of ECE Bannari Amman Institute of Technology Sathyamangalam Indi

This paper is designed to introduce new hybrid Vedic algorithm to increase the speed of the multiplier. This work combines the principles of Nikhilam sutra and Karatsuba algorithm. Vedic Mathematics is the mathematical system to solve the complex computations in an easier manner. There are specific sutras to perform multiplication. Nikhilam sutra is one of the sutra. But this has some limitations. To overcome the limitations, this sutra is combined with Karatsuba algorithm. High speed devices are required for high speed applications with compact size. Normally multipliers require more power for its computation. In this paper, new multiplication algorithm for the multiplication of binary numbers is proposed based on Vedic Mathematics. The novel portion in the algorithm is found to be in the calculation of remainder using complement method. The size of the remainder is always set as N - 1 bit for any combination of input. The multiplier structure is designed based on Karatsuba algorithm. Therefore, N × N bit multiplication is done by (N - 1) bit multiplication. numerical strength reduction is done through Karatsuba algorithm. The results show that the reduction in hardware leads to reduction in the delay.

关键词： Nikhilam Sutra numerical strength reduction Karatsuba Vedic Multiplier Weight reduction

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