# Katapayadi Sankhya: Ancient Method of Encoding

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## The Decode Program will let you calculate the Katapayadi number for any Devanagari text.

The above decode program allows you to calculate the Katpayadi number for any Devanagari text.

Example

## What is the Katapayadi ?

कटपयादि (Katpayadi) The system of encoding numbers as words, replacing each digit with a letter, was developed in ancient India. Each of the letters क,ट,प,य is assigned a number 1.
The consecutive letters are given the number 2, and so on, thus giving rise to the name कटपयादि.
Multiple characters can be mapped to a single number, although there is only one number for each character.
Thus, the system allows a number to be represented in several ways.

## Where is the Katpayadi method used?

This system has traditionally been used to encode the values of important numbers. a famous example of this is

भद्राम्बुद्धिसिद्धजन्मगणितश्रद्धा स्म यद् भूपगी:

~ सद्रत्नमाला (शङ्करवर्मणः)

In the Katpayadi system, value is 314159265358979324, which represents a value of π up to 17 decimals.

## This verse encrypts the value of pi (π) up to 31 decimal places.

गोपीभाग्यमधुव्रात-शृङ्गिशोदधिसन्धिग॥
खलजीवितखाताव गलहालारसंधर॥

## How Katapayadi Ancient Method of Encoding work?

Verse from सद्रत्नमाला (sadratnamala ), given on the front page, describes the method to be followed.

नञावचश्च शून्यानि संख्या: कटपयादय:।
मिश्रे तूपान्त्यहल् संख्या न च चिन्त्यो हलस्वर:॥

• Consonant values are given in the table below.
• Vowels, such as अ, आ, इ, .. etc., are assigned the value 0.
• In a joint letter, only the last consonant, the one that appears with a vowel, is to be considered.
• Consonants without a vowel (हलन्त) are to be ignored.
• A general rule is – “अङ्कानाम् ‌वामतो गतिः“, that is, numbers go from right to left.

You can read more on Wikipedia. and indica.today

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