Binary Introduction
Binary Numbering System
175 -> 10100101
- Number base systems
- Base 10 (decimal)
- Each digit space has a maximum value, in decimal it is 9.
- Base 2 (binary)
- In binary it is 1.
- Base 10 (decimal)
Place Value
-
Base 10 (decimal)
- 10 possibilities
- 0 1 2 3 4 5 6 7 8 9 10
- Each place value multiplies by 10
- 10 possibilities
-
Base 2 (binary)
- 2 possibilities
- 0 1
- Each place value multiplies by 2
- 2 possibilities
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- Byte = 8 bits.
- 256 combinations
- Calculate:
- 100 + 70 + 5 = 175
- 128 + 32 + 8 + 4 + 2 + 1 = 175
What range of values can we make with 8 bits? 256
- 255 = 11111111
- 0 = 00000000