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 Video
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.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 0 |
|---|---|---|---|---|---|---|---|---|---|
| क | ख | ग | घ | ङ | च | छ | ज | झ | ञ |
| ट | ठ | ड | ढ | ण | त | थ | द | ध | न |
| प | फ | ब | भ | म | |||||
| य | र | ल | व | श | ष | स | ह | ळ |
You can read more on Wikipedia. and indica.today