Enhancing Digital Circuit Performance Through Vedic Mathematical Algorithms: A Comparative Analysis of Traditional and Vedic-Based Computational Approaches

The integration of ancient Vedic mathematical principles with modern digital circuit design has emerged as a promising avenue for enhancing computational efficiency and performance. This research presents a comprehensive comparative analysis of traditional and Vedic-based computational approaches in digital systems, focusing on multiplication, division, and arithmetic logic unit (ALU) implementations. Through systematic evaluation of circuit complexity, processing speed, power consumption, and area utilization, this study demonstrates that Vedic mathematical algorithms, particularly the Urdhva Tiryagbhyam sutra for multiplication and Nikhilam sutra for division, offer significant advantages over conventional methods. The findings reveal potential improvements of 20-35% in computation time, up to 25% in energy efficiency, and 15-30% reduction in logic gates, making Vedic approaches particularly suitable for high-performance computing, embedded systems, and real-time processing applications.