Binary Numbers The Binary number system is derived from Base 2. In base 2 there are only 2 numerical options 0 and 1. The computer sees these as Off.

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Presentation transcript:

Binary Numbers The Binary number system is derived from Base 2. In base 2 there are only 2 numerical options 0 and 1. The computer sees these as Off and On respectively.

Binary and Decimal Using this information we can build a conversion table similar to the one utilized in the Base 10 numbering system.

Binary Conversion Table 128 64 32 16 8 4 2 1

First Example 207 = 128 + 64 + 8 + 4 + 2 + 1 128 64 32 16 8 4 2 1 1 1 0 0 1 1 1 1

Second Example 201 = 128 64 32 16 8 4 2 1 1 1 0 0 1 0 0 1 128 + 64 + 8 + 1

Third Example 122 = 128 64 32 16 8 4 2 1 0 1 1 1 1 0 1 0 64 + 32 + 16 + 8 + 2

Fourth Example 56 = 128 64 32 16 8 4 2 1 0 0 1 1 1 0 0 0 32 + 16 + 8