Piṅgala Binary Numbers

Shyam Lal Singh ()

A chapter in Ancient Indian Leaps into Mathematics, 2009, pp 121-134 from Springer

Abstract: 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.

Keywords: Binary Code; Binary Number; Decimal Number; Short Vowel; Previous Entry (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4695-0_8

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DOI: 10.1007/978-0-8176-4695-0_8

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