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Consider a 10-bit binary floating point number representation system: SE EEE mm mm m The first bit of the exponent is dedicated to its


Consider a 10-bit binary floating point number representation system: SE EEE mm mm m The first bit of the exponent is dedicated to its sign. Assume that the mantissa must start with a '1'. Use this system to answer the following questions: 1. What is the smallest (magnitude) number that can be represented with this system? 2. What is the largest (magnitude) number that can be represented with this system? 3. What is the largest relative round-off error introduced by a single calculation using this system? 4. What are the relative rounding errors when representing: a. b. 125 0.004028

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