|
|
|
|
|
|
BASE 30
| Numeral systems |
|
Hindu-Arabic numerals
|
Western Arabic
Eastern Arabic |
Indian family
Brahmi |
|
East Asian numerals
|
Chinese
Japanese
Khmer |
Korean
Thai
|
|
Alphabetic numerals
|
Abjad
Armenian
Cyrillic
Ge'ez |
Hebrew
Ionian
Sanskrit
|
|
Other systems
|
Attic
Etruscan
Roman |
Babylonian
Egyptian
Mayan |
| Numeral system topics |
| |
| Positional systems |
| Decimal base, |
| Binaries: 2, 4, 8, 16, 32, 64, 128 |
| other: 3, 9, 12, 24, 30, 36, 60, more.
+/-
|
Base 30 or trigesimal is a positional numeral system using 30 as the radix. Digits in this base can be represented using the Hindu-Arabic numerals 0-9 and the Latin letters A-T.
From a mathematical viewpoint, 30 is a convenient choice for a base in that it is divisible by the three smallest prime numbers (2, 3, and 5) and by their multiples 6, 10, and 15 — many vulgar fractions are easily expressed in base 30. On the other hand, base 30 has poor radix economy, and it shares the problem with base 60 of its radix falling between twin primes, resulting in few recurring fractions having short periods.
Conversion table
| Decimal |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
| Base 30 |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
A |
B |
C |
D |
E |
| Decimal |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
| Base 30 |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
Fractions in base 30
| Fraction |
Base 30 |
| 1/2 |
0.F |
| 1/3 |
0.A |
| 1/4 |
0.7F |
| 1/5 |
0.6 |
| 1/6 |
0.5 |
| 1/7 |
0.48H |
| 1/8 |
0.3MF |
| 1/9 |
0.3A |
| 1/10 |
0.3 |
| 1/11 |
0.2LOGAR85DJ |
| 1/12 |
0.2F |
| 1/13 |
0.296RKN |
| 1/14 |
0.248H |
| 1/15 |
0.2 |
| 1/16 |
0.1Q7F |
| 1/17 |
0.1MS7 |
| 1/18 |
0.1K |
| 1/19 |
0.1HB |
| 1/20 |
0.1F |
| 1/21 |
0.1CPL |
| 1/22 |
0.1AR85DJ2LOG |
| 1/23 |
0.193RBM56FJGSKQ2I7ONEAD |
| 1/24 |
0.17F |
| 1/25 |
0.16 |
| 1/26 |
0.14IDPBG |
| 1/27 |
0.13A |
| 1/28 |
0.1248H |
| 1/29 |
0.1 |
| 1/30 |
0.1 |
|
|
|
|
|
|
|