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Copyright © 2004, Charles S. Saxo 2 Decimal Numbers Example number 13579 = 10000 + 3000 + 500 + 70 + 9 = 1 X 10000 + 3 X 1000 + 5 X 100 + 7 X 10 + 9 = 1 X 10 4 + 3 X 10 3 + 5 X 10 2 + 7 X 10 1 + 9 X 10 0 = d 4 X 10 4 + d 3 X 10 3 + d 2 X 10 2 + d 1 X 10 1 + d 0 X 10 0 In general: i 3 2 1 9 70 500 3000 10000 13579
Copyright © 2004, Charles S. Saxo 3 Positional Number Systems Base 10 (decimal) d i X 10 i + … + d 2 X 10 2 + d 1 X 10 1 + d 0 X 10 0 = … + d 2 X 100 + d 1 X 10 + d 0 X 1 Base 16 (hexadecimal) d i X 16 i + … + d 2 X 16 2 + d 1 X 16 1 + d 0 X 16 0 = … + d 2 X 256 + d 1 X 16 + d 0 X 1 Base 2 (binary) d i X 2 i + … + d 2 X 2 2 + d 1 X 2 1 + d 0 X 2 0

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Copyright © 2004, Charles S. Saxo 4 Number Examples Base 10 [0 1 2 3 4 5 6 7 8 9] d i X 10 i + … + d 2 X 10 2 + d 1 X 10 1 + d 0 X 10 0 12345 (for example) Base 16 [0 1 2 3 4 5 6 7 8 9 A B C D E F] d i X 16 i + … + d 2 X 16 2 + d 1 X 16 1 + d 0 X 16 0 1A2C8 (for example) Base 2 [0 1] d i X 2 i + … + d 2 X 2 2 + d 1 X 2 1 + d 0 X 2 0 110101 (for example)
Copyright © 2004, Charles S. Saxo 5 Base 10 (decimal) Number System Base 10 d i X 10 i + … + d

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