Notational Systems
What is a notational system?
In short its how we count and represent numbers. Most commonly you would find these systems:
- Decimal/Base 10 - 1, 2, 3, 4 (Wont go over this, you should know this from lower school)
- Binary - 1010
- Hexadecimal - 0xF3
Binary
See also from other parts of this notebook: Binary, Binary Arithmetic.
Binary is a number system that uses binary digits 1 and 0. This is also called “Base 2” since it only has two digits.
Binary table
You can use a binary table to calculate binary numbers. Its how I like to do it. But some people do it in their head.
| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Equals |
|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 132 |
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 15 |
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 16 |
Some examples of calculating what a binary number is in base 10
See also
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References
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