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2 - ECSE-2610 Computer Components Operations(CoCO Fall 2006...

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ECSE-2610 Computer Components & Operations (CoCO) Fall 2006 Part 2: Number Systems
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Decimal Representation: 10 digits = {0,1,2,...,9} Positional Number Notation: Positional Number Notation: Weight of each digit determined by its position. Example: 246 = 200 + 40 + 6 = 2 x 10 2 + 4 x 10 1 + 6 x 10 0 In general, for the Base 10 representation: N = Σ N i x 10 i where each N i {0, 1, 2, . . . , 9} is the weight on the base raised to the exponent i . Note: Decimal fractions occur when i is negative: 0.35 = 3 x 10 -1 + 5 x 10 -2
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