Difference between revisions of "Programming Club - Tutorials - MATH - Basics"
esse quam videri
(→Counting) |
m (→Counting) |
||
Line 13: | Line 13: | ||
<td>Base One</td> | <td>Base One</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 2</tr> | + | <tr><td>10 = 2</td></tr> |
− | <tr>100 = 3</tr> | + | <tr><td>100 = 3</td></tr> |
− | <tr>1000 = 4</tr> | + | <tr><td>1000 = 4</td></tr> |
</td> | </td> | ||
<td>Base Two</td> | <td>Base Two</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 2</tr> | + | <tr><td>10 = 2</td></tr> |
− | <tr>100 = 4</tr> | + | <tr><td>100 = 4</td></tr> |
− | <tr>1000 = 8</tr> | + | <tr><td>1000 = 8</td></tr> |
</td> | </td> | ||
<td>Base Three</td> | <td>Base Three</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 3</tr> | + | <tr><td>10 = 3</td></tr> |
− | <tr>100 = 9</tr> | + | <tr><td>100 = 9</td></tr> |
− | <tr>1000 = 27</tr> | + | <tr><td>1000 = 27</td></tr> |
</td> | </td> | ||
<td>Base Four</td> | <td>Base Four</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 4</tr> | + | <tr><td>10 = 4</td></tr> |
− | <tr>100 = 16</tr> | + | <tr><td>100 = 16</td></tr> |
− | <tr>1000 = 64</tr> | + | <tr><td>1000 = 64</td></tr> |
</td> | </td> | ||
<td>Base Five</td> | <td>Base Five</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 5</tr> | + | <tr><td>10 = 5</td></tr> |
− | <tr>100 = 25</tr> | + | <tr><td>100 = 25</td></tr> |
− | <tr>1000 = 125</tr> | + | <tr><td>1000 = 125</td></tr> |
</td> | </td> | ||
<td>Base Six</td> | <td>Base Six</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 6</tr> | + | <tr><td>10 = 6</td></tr> |
− | <tr>100 = 36</tr> | + | <tr><td>100 = 36</td></tr> |
− | <tr>1000 = 216</tr> | + | <tr><td>1000 = 216</td></tr> |
<td> | <td> | ||
<td>Base Seven</td> | <td>Base Seven</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 7</tr> | + | <tr><td>10 = 7</td></tr> |
− | <tr>100 = 49</tr> | + | <tr><td>100 = 49</td></tr> |
− | <tr>1000 = 343</tr> | + | <tr><td>1000 = 343</td></tr> |
<td> | <td> | ||
<td>Base Eight</td> | <td>Base Eight</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 8</tr> | + | <tr><td>10 = 8</td></tr> |
− | <tr>100 = 64</tr> | + | <tr><td>100 = 64</td></tr> |
− | <tr>1000 = 512</tr> | + | <tr><td>1000 = 512</td></tr> |
<td> | <td> | ||
<td>Base Nine</td> | <td>Base Nine</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 9</tr> | + | <tr><td>10 = 9</td></tr> |
− | <tr>100 = 81</tr> | + | <tr><td>100 = 81</td></tr> |
− | <tr>1000 = 729</tr> | + | <tr><td>1000 = 729</td></tr> |
</td> | </td> | ||
<td>Base Ten</td> | <td>Base Ten</td> | ||
<td> | <td> | ||
− | <tr>1 = 1</tr> | + | <tr><td>1 = 1</td></tr> |
− | <tr>10 = 10</tr> | + | <tr><td>10 = 10</td></tr> |
− | <tr>100 = 100</tr> | + | <tr><td>100 = 100</td></tr> |
− | <tr>1000 = 1000</tr> | + | <tr><td>1000 = 1000</td></tr> |
</td> | </td> | ||
Revision as of 06:30, 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 | |
1 = 1 | |
10 = 2 | |
100 = 3 | |
1000 = 4 | Base Two |
1 = 1 | </tr>|
10 = 2 | |
100 = 4 | |
1000 = 8 | Base Three |
1 = 1 | </tr>|
10 = 3 | |
100 = 9 | |
1000 = 27 | Base Four |
1 = 1 | </tr>|
10 = 4 | |
100 = 16 | |
1000 = 64 | Base Five |
1 = 1 | </tr>|
10 = 5 | |
100 = 25 | |
1000 = 125 | Base Six |
1 = 1 | </tr>|
10 = 6 | |
100 = 36 | |
1000 = 216 | Base Seven |
1 = 1 | </tr>|
10 = 7 | |
100 = 49 | |
1000 = 343 | Base Eight |
1 = 1 | </tr>|
10 = 8 | |
100 = 64 | |
1000 = 512 | Base Nine |
1 = 1 | </tr>|
10 = 9 | |
100 = 81 | |
1000 = 729 | Base Ten |
1 = 1 | </tr>|
10 = 10 | |
100 = 100 | |
1000 = 1000 |