Design of a Squaring Architecture Based on Yavadunam Sutra of Vedic Mathematics

The Yavadunam Sutra, a computational method from Vedic mathematics renowned for its effectiveness in squaring numbers, served as the inspiration for the VISI design of a squaring architecture. The goal is to create a VLSI architecture that improves computational speed and efficiency by utilizing the Yavadunam Sutra's parallel processing and optimization ideas. Important parts of the architecture, including registers, adders, and multiplication units, will be designed and optimized. While optimizing performance measures like speed and accuracy, special focus will be paid to reducing power consumption and space use. Modern VLSI design tools and methodologies will be used to implement the design. The goal is to investigate and evaluate the possible advantages of incorporating ideas from Vedic mathematics into VLSI architectures for computational tasks, with a particular emphasis on squaring operations. By integrating fundamental mathematical concepts and refining hardware implementations for increased performance and efficiency.

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Publication Details

Published
2025-03-04
DOI
https://doi.org/10.1109/icvadv63329.2025.10961264
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

Design of a Squaring Architecture Based on Yavadunam Sutra of Vedic Mathematics

C. Gangaiah Yadav, G. Suresh Reddy, K. Venkata Subba Reddy
Advanced Mathematical Theories and Applications
article

Design of a Squaring Architecture Based on Yavadunam Sutra of Vedic Mathematics

C. Gangaiah Yadav, G. Suresh Reddy, K. Venkata Subba Reddy
article en

Abstract

The Yavadunam Sutra, a computational method from Vedic mathematics renowned for its effectiveness in squaring numbers, served as the inspiration for the VISI design of a squaring architecture. The goal is to create a VLSI architecture that improves computational speed and efficiency by utilizing the Yavadunam Sutra's parallel processing and optimization ideas. Important parts of the architecture, including registers, adders, and multiplication units, will be designed and optimized. While optimizing performance measures like speed and accuracy, special focus will be paid to reducing power consumption and space use. Modern VLSI design tools and methodologies will be used to implement the design. The goal is to investigate and evaluate the possible advantages of incorporating ideas from Vedic mathematics into VLSI architectures for computational tasks, with a particular emphasis on squaring operations. By integrating fundamental mathematical concepts and refining hardware implementations for increased performance and efficiency.

Chaitanya Bharathi Institute of Technology (IN)
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Advanced Mathematical Theories and Applications
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