Difference between revisions of "Programming Club - Tutorials - MATH - Basics"
esse quam videri
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<td>Base One</td> | <td>Base One</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 2</td></tr> | <tr><td>10 = 2</td></tr> | ||
<tr><td>100 = 3</td></tr> | <tr><td>100 = 3</td></tr> | ||
<tr><td>1000 = 4</td></tr> | <tr><td>1000 = 4</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Two</td> | <td>Base Two</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 2</td></tr> | <tr><td>10 = 2</td></tr> | ||
<tr><td>100 = 4</td></tr> | <tr><td>100 = 4</td></tr> | ||
<tr><td>1000 = 8</td></tr> | <tr><td>1000 = 8</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Three</td> | <td>Base Three</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 3</td></tr> | <tr><td>10 = 3</td></tr> | ||
<tr><td>100 = 9</td></tr> | <tr><td>100 = 9</td></tr> | ||
<tr><td>1000 = 27</td></tr> | <tr><td>1000 = 27</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Four</td> | <td>Base Four</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 4</td></tr> | <tr><td>10 = 4</td></tr> | ||
<tr><td>100 = 16</td></tr> | <tr><td>100 = 16</td></tr> | ||
<tr><td>1000 = 64</td></tr> | <tr><td>1000 = 64</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Five</td> | <td>Base Five</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 5</td></tr> | <tr><td>10 = 5</td></tr> | ||
<tr><td>100 = 25</td></tr> | <tr><td>100 = 25</td></tr> | ||
<tr><td>1000 = 125</td></tr> | <tr><td>1000 = 125</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Six</td> | <td>Base Six</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 6</td></tr> | <tr><td>10 = 6</td></tr> | ||
<tr><td>100 = 36</td></tr> | <tr><td>100 = 36</td></tr> | ||
<tr><td>1000 = 216</td></tr> | <tr><td>1000 = 216</td></tr> | ||
| + | </table> | ||
<td> | <td> | ||
<td>Base Seven</td> | <td>Base Seven</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 7</td></tr> | <tr><td>10 = 7</td></tr> | ||
<tr><td>100 = 49</td></tr> | <tr><td>100 = 49</td></tr> | ||
<tr><td>1000 = 343</td></tr> | <tr><td>1000 = 343</td></tr> | ||
| + | </table> | ||
<td> | <td> | ||
<td>Base Eight</td> | <td>Base Eight</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 8</td></tr> | <tr><td>10 = 8</td></tr> | ||
<tr><td>100 = 64</td></tr> | <tr><td>100 = 64</td></tr> | ||
<tr><td>1000 = 512</td></tr> | <tr><td>1000 = 512</td></tr> | ||
| + | </table> | ||
<td> | <td> | ||
<td>Base Nine</td> | <td>Base Nine</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 9</td></tr> | <tr><td>10 = 9</td></tr> | ||
<tr><td>100 = 81</td></tr> | <tr><td>100 = 81</td></tr> | ||
<tr><td>1000 = 729</td></tr> | <tr><td>1000 = 729</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
<td>Base Ten</td> | <td>Base Ten</td> | ||
<td> | <td> | ||
| + | <table> | ||
<tr><td>1 = 1</td></tr> | <tr><td>1 = 1</td></tr> | ||
<tr><td>10 = 10</td></tr> | <tr><td>10 = 10</td></tr> | ||
<tr><td>100 = 100</td></tr> | <tr><td>100 = 100</td></tr> | ||
<tr><td>1000 = 1000</td></tr> | <tr><td>1000 = 1000</td></tr> | ||
| + | </table> | ||
</td> | </td> | ||
Revision as of 06:35, 24 August 2009
Contents
Arithmetic
Counting
In mathematical problems, there is a difference between the way you count numbers and values. In simple base 10 math, the methods appear to be the same; However, if you intend to use an alternative base for your mathematical problems, you can immediately see the difference.
A numerical representation for a value, is divided into exponents according to it's base. For example, in base 10 math, the digits representing values are read from right to left as ones, tens, hundreds, thousands, etc. - which are all multiples of 10.
In base two math, they read from right to left as ones, twos, fours, eights. Similarly, base three math reads ones, threes, nines, twenty-sevens, etc.
| Base One |
|
Base Two |
|
Base Three |
|
Base Four |
|
Base Five |
|
Base Six |
| Base Seven |
| Base Eight |
| Base Nine |
|
Base Ten |
|
