A base-2 number system is called binary and a base-10 system decimal, but what how does one term number systems based on 3, 4, 5, 8 or 12 ? This is a question that I had to answer in 1999 March, so I did some research, and below are (almost all of) my findings. Please inform me of errors that I have made or of additions that you would like to make via email.
Base | Name |
2 | binary |
3 | ternary [A] |
4 | quaternary |
5 | quinary |
6 | senary |
7 | septenary |
8 | octonary [B] |
9 | nonary |
10 | decimal |
11 | undenary |
12 | duodecimal |
13 | tridecimal |
14 | quattuordecimal |
15 | quindecimal |
16 | sexadecimal [C] |
17 | septendecimal |
18 | octodecimal |
19 | nonadecimal |
20 | vigesimal |
30 | trigesimal |
40 | quadragesimal |
50 | quinquagesimal |
60 | sexagesimal |
70 | septagesimal |
80 | octagesimal |
90 | nonagesimal |
100 | centimal |
200 | bicentimal |
300 | tercentimal |
400 | quattrocentimal |
500 | quincentimal |
[A] | Also “trinary”. |
[B] | Most commonly “octal” but also “octonal” or “octimal”. |
[C] | “hexadecimal” is the common computer-science terminology, but it is unsatisfactory because it is a combination of the Greek “hexa” and the Latin “decim”. The proper Latin should be “sedecim” or “sexdecim”, yielding either “sedecimal” or “sexadecimal”. Schwartzman writes: “Since hexadecimal is a rather long word, it is sometimes abbreviated hex. The word hexadecimal is unusual because Greek and Latin elements are combined; the expected purely Latin form would be sexadecimal, but then computer hackers would be tempted to shorten the word to sex.” [emphasis added] |
Schwartzman S (1994). The Words of Mathematics: an etymological dictionary of mathematical terms used in English (ISBN 0-88385-511-9).