Conversions_Numbering_systems

Conversions_Numbering_systems - Conversions binary octal...

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Click to edit Master subtitle style 12/8/10 Conversions: binary , octal , hexadecimal , decimal
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12/8/10 Representing a number Most common ways to represent a number: decimal, binary, octal and hexadecimal Decimal: Base 10 Digits: 0, 1, 2, …, 9
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12/8/10 Representing a number (cont.) Binary: Base 2 Digits: 0, 1 Computers easily understand binary code We count 0, 1, 10, 11, 100, 101, 111, etc. With counting in binary, octal and hexadecimal the same principle as in decimal counting applies
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12/8/10 Representing a number (cont.) Hexadecimal: Base 16 Digits: 0, 1, 2, …, 8, 9, A, B, C, D, E, F We run out of digits and use letters of the English alphabet because letters have natural order A is decimal 10, B is decimal 11,…, F is decimal 15
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12/8/10 Why binary, octal, hexadecimal? We are so used to decimal that it seems unnecessarily complicated to use binary, octal or hexadecimal Think about it this way: You know a can of soup costs 50 cents and want to buy 37 cans of soup You want to calculate how much you’ll have to pay so you have proper change (disregard tax)
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