六进制
分数

| 0 | 1 | 2 | 3 | 4 | 5 |
| --- | --- | --- | --- | --- | --- |
| 十進制 Prime factors of the base: 2, 5 Prime factors of one below the base: 3 Prime factors of one above the base: 11  | 十進制 Prime factors of the base: 2, 5 Prime factors of one below the base: 3 Prime factors of one above the base: 11  | 十進制 Prime factors of the base: 2, 5 Prime factors of one below the base: 3 Prime factors of one above the base: 11  | 六進制 Prime factors of the base: 2, 3 Prime factors of one below the base: 5 Prime factors of one above the base: 11  | 六進制 Prime factors of the base: 2, 3 Prime factors of one below the base: 5 Prime factors of one above the base: 11  | 六進制 Prime factors of the base: 2, 3 Prime factors of one below the base: 5 Prime factors of one above the base: 11  |
| 分數 | 分母 | Positional representation | Positional representation | 分母 | 分數 |
| 1/2 | 2 | 0.5 | 0.3 | 2 | 1/2 |
| 1/3 | 3 | 0.3333... = 0.3 | 0.2 | 3 | 1/3 |
| 1/4 | 2 | 0.25 | 0.13 | 2 | 1/4 |
| 1/5 | 5 | 0.2 | 0.1111... = 0.1 | 5 | 1/5 |
| 1/6 | 2, 3 | 0.16 | 0.1 | 2, 3 | 1/10 |
| 1/7 | 7 | 0.142857 | 0.05 | 11 | 1/11 |
| 1/8 | 2 | 0.125 | 0.043 | 2 | 1/12 |
| 1/9 | 3 | 0.1 | 0.04 | 3 | 1/13 |
| 1/10 | 2, 5 | 0.1 | 0.03 | 2, 5 | 1/14 |
| 1/11 | 11 | 0.09 | 0.0313452421 | 15 | 1/15 |
| 1/12 | 2, 3 | 0.083 | 0.03 | 2, 3 | 1/20 |
| 1/13 | 13 | 0.076923 | 0.024340531215 | 21 | 1/21 |
| 1/14 | 2, 7 | 0.0714285 | 0.023 | 2, 11 | 1/22 |
| 1/15 | 3, 5 | 0.06 | 0.02 | 3, 5 | 1/23 |
| 1/16 | 2 | 0.0625 | 0.0213 | 2 | 1/24 |
| 1/17 | 17 | 0.0588235294117647 | 0.0204122453514331 | 25 | 1/25 |
| 1/18 | 2, 3 | 0.05 | 0.02 | 2, 3 | 1/30 |
| 1/19 | 19 | 0.052631578947368421 | 0.015211325 | 31 | 1/31 |
| 1/20 | 2, 5 | 0.05 | 0.014 | 2, 5 | 1/32 |
| 1/21 | 3, 7 | 0.047619 | 0.014 | 3, 11 | 1/33 |
| 1/22 | 2, 11 | 0.045 | 0.01345242103 | 2, 15 | 1/34 |
| 1/23 | 23 | 0.0434782608695652173913 | 0.01322030441 | 35 | 1/35 |
| 1/24 | 2, 3 | 0.0416 | 0.013 | 2, 3 | 1/40 |
| 1/25 | 5 | 0.04 | 0.01235 | 5 | 1/41 |
| 1/26 | 2, 13 | 0.0384615 | 0.0121502434053 | 2, 21 | 1/42 |
| 1/27 | 3 | 0.037 | 0.012 | 3 | 1/43 |
| 1/28 | 2, 7 | 0.03571428 | 0.0114 | 2, 11 | 1/44 |
| 1/29 | 29 | 0.0344827586206896551724137931 | 0.01124045443151 | 45 | 1/45 |
| 1/30 | 2, 3, 5 | 0.03 | 0.01 | 2, 3, 5 | 1/50 |
| 1/31 | 31 | 0.032258064516129 | 0.010545 | 51 | 1/51 |
| 1/32 | 2 | 0.03125 | 0.01043 | 2 | 1/52 |
| 1/33 | 3, 11 | 0.03 | 0.01031345242 | 3, 15 | 1/53 |
| 1/34 | 2, 17 | 0.02941176470588235 | 0.01020412245351433 | 2, 25 | 1/54 |
| 1/35 | 5, 7 | 0.0285714 | 0.01 | 5, 11 | 1/55 |
| 1/36 | 2, 3 | 0.027 | 0.01 | 2, 3 | 1/100 |
因为6是最小的两个素数2和3的乘积，许多六进制的小数都有简单的表示法：
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 十进制 |  {\tfrac {1}{2}} |  {\tfrac {1}{3}} |  {\tfrac {1}{4}} |  {\tfrac {1}{5}} |  {\tfrac {1}{6}} |  {\tfrac {1}{7}} |  {\tfrac {1}{8}} |  {\tfrac {1}{9}} |  {\tfrac {1}{10}} |  {\tfrac {1}{11}} |  {\tfrac {1}{12}} |  {\tfrac {1}{14}} |  {\tfrac {1}{15}} |  {\tfrac {1}{16}} |  {\tfrac {1}{18}} |  {\tfrac {1}{20}} |
| 六进制 |  {\tfrac {1}{2}} |  {\tfrac {1}{3}} |  {\tfrac {1}{4}} |  {\tfrac {1}{5}} |  {\tfrac {1}{10}} |  {\tfrac {1}{11}} |  {\tfrac {1}{12}} |  {\tfrac {1}{13}} |  {\tfrac {1}{14}} |  {\tfrac {1}{15}} |  {\tfrac {1}{20}} |  {\tfrac {1}{22}} |  {\tfrac {1}{23}} |  {\tfrac {1}{24}} |  {\tfrac {1}{30}} |  {\tfrac {1}{32}} |
| 六进制(小數) | 0.3 | 0.2 | 0.13 | 0.1 | 0.1 | 0.05 | 0.043 | 0.04 | 0.03 | 0.313452421 | 0.03 | 0.023 | 0.02 | 0.0213 | 0.02 | 0.014 |

六進制為2和3的同樣的冪，因此很容易將它們分為2和3個除法。 2的冪的倒數變為3的冪，而3的冪的倒數變為2的冪。因而对于大多分母是3的幂的分数，六进制的表示形式更简短。
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 冪指数 | -1 | -2 | -3 | -4 | -5 | -10 | -11 | -12 | -13 | -14 |
| 2 | 0.3 | 0.13 | 0.043 | 0.0213 | 0.01043 | 0.003213 | 0.0014043 | 0.00050213 | 0.000231043 | 0.0001133213 |
| 3 | 0.2 | 0.04 | 0.012 | 0.0024 | 0.00052 | 0.000144 | 0.0000332 | 0.00001104 | 0.000002212 | 0.0000004424 |