Nonary
Encyclopedia : N : NO : NON : Nonary
Nonary is a base-9 numeral system, typically using the digits 0-8, but not the digit 9.
The first few numbers in nonary and decimal are:
| Nonary | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 10 | 11 | 12 | 13 | 14 |
| Decimal | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
The multiplication table in nonary is:
| * | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 2 | 2 | 4 | 6 | 8 | 11 | 13 | 15 | 17 |
| 3 | 3 | 6 | 10 | 13 | 16 | 20 | 23 | 26 |
| 4 | 4 | 8 | 13 | 17 | 22 | 26 | 31 | 35 |
| 5 | 5 | 11 | 16 | 22 | 27 | 33 | 38 | 44 |
| 6 | 6 | 13 | 20 | 26 | 33 | 40 | 46 | 53 |
| 7 | 7 | 15 | 23 | 31 | 38 | 46 | 54 | 62 |
| 8 | 8 | 17 | 26 | 35 | 44 | 53 | 62 | 71 |
Nonary notation can be used as a concise representation of ternary data. This is similar to using quaternary notation for binary data, though the digit set is closer in size to octal.
Except for three, no primes in nonary end in 0, 3 or 6, since any nonary number ending in 0, 3 or 6 is divisible by three.
A nonary number is divisible by two, four or eight, if the sum of its digits are also divisible by two, four or eight respectively.
See also
- Numeral system
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