Base 24

# Base 24

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Description:
The base- system is a numeral system with 24 as its base.

There are 24 hours in a day, so our time keeping system includes a base-24 component. See also base 12.
```                           Decimal Equivalent
10  twenty four      24             24
100  ?               24^2 =         576
1 000  ?               24^3 =      13 824
10 000  ?               24^4 =     331 776
100 000  ?               24^5 =   7 972 624
1 000 000  ?               24^6 = 191 102 976
```

The digits used for numerals ten (10) to twenty three (23) may be the letters "A" through to "P" ("I" and "O" are skipped to prevent confusion with the digits 1 and 0 in some typefaces).

## Fractions

Quadrovigesimal fractions are usually either very simple

```1/2 = 0.C
1/3 = 0.8
1/4 = 0.6
1/6 = 0.4
1/8 = 0.3
1/9 = 0.2G
1/C = 0.2
1/G = 0.1C
1/J = 0.18
```

or complicated

```1/5  = 0.4K4K4K4K... recurring (easily rounded to 0.5 or 0.4K)
1/7  = 0.3A6LDH3A6... recurring
1/A  = 0.29E9E9E9... recurring (rounded to 0.2A)
1/B  = 0.248HAMKF6D248.. recurring (rounded to 0.24)
1/D  = 0.1L795CN3GEJB1L7.. recurring (rounded to 0.1L)
1/P  = 0.11111... recurring (rounded to 0.11)
1/11 = 0.0P0P0P... recurring (rounded to 0.0P) (1/(5*5))
```

As explained in recurring decimals, whenever a fraction is written in "decimal" notation, in any base, the fraction can be expressed exactly (terminates) if and only if all the prime factors of its denominator are also prime factors of the...

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