Programming Club - Tutorials - MATH - Basics
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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 |