Posts

Showing posts from March, 2024

An Ancient Indian Numbering System I learnt While Studying Sanskrit

Image
  "क  ट  प  य" (Katpay ā di System) It is an ancient Indian method which helps to express/memorize numbers in the form of words or verses. A related verse- नज्ञावचश्च शून्यानि संख्या: कटपयादय:।  मिश्रे तूपान्त्यहल् संख्या न च चिन्त्यो हलस्वर: ॥ Meaning = न ,ज्ञ ,अ have zero value (0),  क, ट, प, य have 1 number. The number of consonants that follow each of these groups in the alphabet ranges from 2 to 9. Ex: क=1 ख=2 ग=3... झ=9 Etc. ट= 1 ठ=2 ड=3... ध=9 Etc. (as mentioned in image) It is written in the above verse that without worrying about endings, vowels and mixed consonants have no value. One of the rules of this system is that words are read from right to left while numbers go from left to right. E.g. If we want to represent the number of the word Ram, it is 52. (म=5; रा=2) Also, the number of the word Kautilya is 111. Long ago people used to name children based on their date of birth using Katpay ā di system. Katpay ā di system was also used in mathemati...