Base26 or Hexavigesimal number converter
In mathematics, number systems use bases to represent the same numbers in different ways, using numbers or combinations of numbers and letters. For example, the number 23 in Base 10 (which accepts digits 0-9) is represented as 10111 in Base 2 (which accepts only 0 and 1).
Humans commonly use Base 10, or Decimal, as a number system because it accepts digits 0-9. However, various devices accept different bases. The most popular bases are Base 2 (Binary), Base 8 (Octal), Base 10 (Decimal), and Base 16 (Hexadecimal).
With this converter, you can convert Base 2 numbers into other bases up to Base 36.
Humans commonly use Base 10, or Decimal, as a number system because it accepts digits 0-9. However, various devices accept different bases. The most popular bases are Base 2 (Binary), Base 8 (Octal), Base 10 (Decimal), and Base 16 (Hexadecimal).
With this converter, you can convert Base 2 numbers into other bases up to Base 36.
Click here to see how the Base 26 to Base 10 conversion is performed
Step by step conversion for Base 26 (Hexavigesimal) to Base 10 (Decimal)
PrerequisitesList Base 26 and Base 10 allowed numbers with equivalent decimal sequence
Allowed Base 26 numbers and alphabets
| Base 26 | Decimal Value |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| A | 10 |
| B | 11 |
| C | 12 |
| D | 13 |
| E | 14 |
| F | 15 |
| G | 16 |
| H | 17 |
| I | 18 |
| J | 19 |
| K | 20 |
| L | 21 |
| M | 22 |
| N | 23 |
| O | 24 |
| P | 25 |
Allowed Base 10 numbers and alphabets
| Base 10 | Decimal Value |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
Formula: (abcdef.....yz)26 = (a * 26L-1) + (b* 26L-2) +......+ (y * 261) + (z * 260)
L - Length of input, I - index of the letter/number
| Input | Input * 26(L-I) | Output |
|---|
Step 2 - Convert Base10 into Base10 (Decimal)
Devide Base10 (Decimal) by Base14 radix(14) until gets quotient as 0 and map remainder decimal value into corresponding Base14 value using the mapping table
| Value / 10 | Quotient | Remainder | Base10 char mapping |
|---|
Step 3 - Result
From step 2 table, get the base mapping in the reverse order
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