Decimal and Binary

• Decimal Binary

Symbols: 0, 1, …, 9 0, 1

Base 10 2

Number xyz x·102+y·101+z·100 x·22+y·21+z·20

Ex: 101 1·102+0·101+1·100 1·22+0·21+1·20

Place Value 101 5

Powers 1, 10, 100, 1000, … 1, 2, 4, 8, 16, 32, 64, ...

• What binary numbers are: 10002, 10102 and 11112

20

21

22

23

Use a subscript to indicate the number base, e.g 510 = 1012

Binary works just like decimal, except that the base is 2

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