# Synthesis Comparison of Karatsuba Multiplierusing Polynomial Multiplication, Vedic Multiplier and Classical Multiplier

@article{Mishra2012SynthesisCO, title={Synthesis Comparison of Karatsuba Multiplierusing Polynomial Multiplication, Vedic Multiplier and Classical Multiplier}, author={Sudhanshu K. Mishra and Manoranjan Pradhan}, journal={International Journal of Computer Applications}, year={2012}, volume={41}, pages={13-17} }

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 efficiency than the multipliers involving Vedic mathematics formulae. General Terms Karatsuba algorithm, Vedic…

## 6 Citations

### Performance Analysis of Karatsuba Multiplication Algorithm for Different Bit Lengths

- Computer Science
- 2015

### High speed vedic multiplier for image processing using FPGA

- Computer Science2016 10th International Conference on Intelligent Systems and Control (ISCO)
- 2016

An approach for image filtering using Vedic Mathematic which performs faster multiplication compared to the conventional algorithms namely Booth and Array Multiplication Algorithm thus reducing the time required for filtering of images.

### SQUARE OPERATION IMPLEMENTATION ON RECONFIGURABLE HARDWARE LOGIC TO ATTAIN HIGH SPEED, AREA OPTIMIZATION AND LOW POWER CONSUMPTION

- Computer ScienceJOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
- 2020

The results were compared with 4-bit as well as 8-bit operation using both algorithms for a square operation are it is observed that the speed of operation is improved by 20 % whereas the hardware resources utilized were reduced by 66 %.

### Vedic Mathematics for Digital Signal Processing Operations: A Review

- Computer Science
- 2015

Vedic mathematical algorithms can be proved efficient over traditional methods in FIR and IIR filters for providing effective results in de-noising of biomedical Signal.

### Generalizations of n-Term Karatsuba Like Formulae in GF ( 2 n ) with NAYK Algorithm

- Computer Science, Mathematics
- 2017

The first step is to develop a formula that is better than Generalizations of The Karatsuba Algorithm, after then develop an exhaustive search algorithm for all possible existing products, which is referred to as the NAYK algorithm.

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