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Piṅgala Binary Numbers

In: Ancient Indian Leaps into Mathematics

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  • Shyam Lal Singh

Abstract

Besides using several mathematical formulas regarding permutations, combinations, geometric progression, and binomial coefficients, Ācārya Piṅgala applied binary codes to discuss the listing of even meters. Piṅgala’s Chandas Śāstram, the science of meters is the oldest authoritative work on Vedic and Sanskrit prosody. According to recent research, Piṅgala lived in the twenty-ninth century b.c.e. The purpose of this article is to discuss his binary system, the conversion of a binary number into its decimal equivalent and vice versa. A superfast method, due to Piṅgala, regarding the conversion of a binary number into its decimal equivalent is not available in modern textbooks of computer science.

Suggested Citation

  • Shyam Lal Singh, 2009. "Piṅgala Binary Numbers," Springer Books, in: B.S. Yadav & Man Mohan (ed.), Ancient Indian Leaps into Mathematics, pages 121-134, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4695-0_8
    DOI: 10.1007/978-0-8176-4695-0_8
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