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Unformatted text preview: COT4501 Spring 2012 Homework I This assignment has seven problems and they are equally weighted. The assignment is due in class on Tuesday, January 31, 2012. Problem 1 Provide short answers to the following questions: True or false: Floatingpoint numbers are distributed uniformly throughout their range. True or false: In a floatingpoint number system, the underflow level is the smallest positive number that perturbs the number 1 when added to it. Suppose you are solving a given problem using a given algorithm. For each of the following, state whether it is affected by the stability of the algorithm, and why. 1. Propagated data error, 2. Accuracy of the computed result, 3. Conditioning of problem. Give two reasons why floatingpoint number systems are usually normalized. In a pdigit binary floatingpoint system with rounding to nearest, what is the value of the unit roundoff mach ?...
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 Spring '08
 Davis

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