Octadecimal

From Wikipedia, the free encyclopedia

Numeral systems by culture
Hindu-Arabic numerals
Indian
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
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

Octadecimal or base 18 is a positional numeral system using 18 as the radix. Digits in this base can be represented using the Arabic numerals 0-9 and the Latin letters A-H.

Octadecimal is a rarely used base, though the ancient Mayan calendar is sometimes interpreted as a combination of vigesimal and octadecimal numerical systems - developed in order to match the number of days in a year. There are also some specialised computer systems where octadecimal notation has been used for high levels of data compression. As a base, it has poor radix economy, and because its radix falls between twin primes, there are few recurring fractions with short periods.

Conversion table
Decimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Octadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F G H 10
Decimal 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
Octadecimal 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 1G 1H 20 21

In octadecimal, all prime numbers apart from 2 and 3 will end in 1, 5, 7, B, D or H.


Dont look up there! look here; the numbers go from 0-7 because "..oct..." means 8, and 0 is a diget.!