Nonary

From Wikipedia, the free encyclopedia

Jump to: navigation, search
Numeral systems by culture
Hindu-Arabic numerals
Western Arabic
Eastern Arabic
Khmer
Indian family
Brahmi
Thai
East Asian numerals
Chinese
Counting rods
Japanese
Korean 
Alphabetic numerals
Abjad
Armenian
Cyrillic
Ge'ez
Hebrew
Ionian/Greek
Āryabhaṭa
 
Other systems
Attic
Babylonian
Egyptian
Etruscan
Mayan
Roman
Urnfield
List of numeral system topics
Positional systems by base
Decimal (10)
2, 4, 8, 16, 32, 64
3, 9, 12, 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 81011121314
Decimal 1 2 3 4 5 6 7 8 910111213

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 811131517
 3 3 6101316202326
 4 4 8131722263135
 5 511162227333844
 6 613202633404653
 7 715233138465462
 8 817263544536271

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.

Under Base 9, Beatles member George Harrison (1943-2001) passed away at "When I'm 64" (decimal = 58 / nonary = 64).

[edit] See also

  • Numeral systembe-x-old:Дзевятковая сыстэма зьлічэньня

fr:Système nonaire ht:Sistèm nonè th:เลขฐานเก้า

Views
Personal tools

Toolbox