Difference between revisions of "Programming Club - Tutorials - MATH - Basics"
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===Addition=== | ===Addition=== | ||
| + | Addition, like all mathematical operations, is not dependent on the base you are using. To perform addition, you simply count inside of a placeholder until it carries over into the next place. | ||
| + | <br/><br/> | ||
| + | For example:<br/> | ||
| + | <div> | ||
| + | Base 2:<br/> | ||
| + | 101 + 1 = 110 (5 + 1 = 6) | ||
| + | <br/>''Because base 2 math only allows 1's and zeros, you must carry over any remaining digits.'' | ||
| + | </div> | ||
| + | <div> | ||
| + | Base 10:<br/> | ||
| + | 101 + 1 = 102 | ||
| + | </div> | ||
| + | |||
===Subtraction=== | ===Subtraction=== | ||
===Multiplication=== | ===Multiplication=== | ||
Revision as of 07:27, 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.
The following table illustrates the four basic digits that represent values for each base up to ten.
| Base One |
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Base Two |
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Base Three |
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Base Four |
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Base Five |
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| Base Six |
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Base Seven |
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Base Eight |
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Base Nine |
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Base Ten |
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Addition
Addition, like all mathematical operations, is not dependent on the base you are using. To perform addition, you simply count inside of a placeholder until it carries over into the next place.
For example:
Base 2:
101 + 1 = 110 (5 + 1 = 6)
Because base 2 math only allows 1's and zeros, you must carry over any remaining digits.
Base 10:
101 + 1 = 102
