Nonary - The Encyclopedia

From Wikipedia, the free encyclopedia.

Numeral systems by culture
Hindu-Arabic numerals
Western Arabic Eastern Arabic Khmer	Indian family Brahmi Thai
East Asian numerals
Chinese Suzhou Counting rods	Japanese Korean
Alphabetic numerals
Abjad Armenian Cyrillic Ge'ez	Hebrew Greek (Ionian) Āryabhaṭa
Other systems
Attic Babylonian Egyptian English	Etruscan Mayan Roman Urnfield
List of numeral system topics
Positional systems by base
Decimal (10)
2, 4, 8, 16, 32, 64
1, 3, 9, 12, 20, 24, 30, 36, 60, more…
v • d • e

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.

[edit] See also

Numeral system

This is an extract from Wikipedia, the Free Encyclopedia