International Journal of Science, Engineering and TechnologyAuthors: Dr. Sangita B. Pimpare
Abstract: This research explores how Vedic Mathematics—a system rediscovered by Swami Bharati Krishna Tirthaji from 1911 to 1918—stacks up against modern arithmetic. Focusing on core sutras such as Urdhva Tiryagbhyam and Nikhilam Navatashcharamam Dashatah, the study compares their computational speed and hardware demands to those of standard long-form methods. The results show that Vedic algorithms reduce the number of intermediate steps and partial products, particularly benefiting high-speed digital systems; implementations in VLSI and FPGA environments, for instance, exhibit reduced critical-path delays and more efficient logic utilization (Yadav et al., 2024; Patel et al., 2015). The paper also critically assesses the teaching effectiveness of Vedic Mathematics—built around sixteen ancient Sanskrit sutras—relative to the conventional arithmetic methods used in schools worldwide. While typical math instruction emphasizes memorization and rigid carry-and-borrow procedures, the Vedic system takes a multidimensional, pattern-recognition approach that more naturally suits how people think. Through a side-by-side comparison of computational speed, error rates, and cognitive load—pitting standard methods against Vedic techniques like Urdhva-Tiryagbhyam (crosswise multiplication) and Nikhilam (base-based subtraction)—the study finds that the Vedic framework cuts intermediate steps by up to 60%, greatly reducing the mental strain of tackling multi-digit problems.
