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Encyclopedia > Nonary

Nonary is a base 9 numeral system, typically using the digits 0-8, but not the digit 9. A numeral is a symbol or group of symbols that represents a number. ... In mathematics and computer science, a numerical digit is a symbol, e. ...


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. Ternary is the base 3 numeral system. ... Quaternary is the base four numeral system. ... The binary or base-two numeral system is a system for representing numbers in which a radix of two is used; that is, each digit in a binary numeral may have either of two different values. ... The octal numeral system is the base-8 number system, and uses the digits 0 to 7. ...


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. 3 (three) is a number, numeral, and glyph. ...


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. 2 (two) is the natural number following 1 and preceding 3. ... 4 (four) is the natural number following 3 and preceding 5. ... 8 (eight) is the natural number following 7 and preceding 9. ...


See also:


  Results from FactBites:
 
NationMaster - Encyclopedia: Nonary (423 words)
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.
Nonary is a base 9 numeral system, typically using the digitss 0-8, but not the digit 9.
Top40-Charts.com - 40 Top 20 & Top 40 Music Charts from 25 Countries (495 words)
However, they are still far less compact than the corresponding representations in bases such as decimal — see below for a compact way to codify ternary using nonary and septemvigesimal.
Nonary (base 9, each digit is two ternary digits) or septemvigesimal (base 27, each digit is three ternary digits) is often used, similar to how octal and hexadecimal systems are used in place of binary.
Ternary also has a unit similar to a byte, the tryte, which is six ternary digits.
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