hw1.pdf - CSCI-UA.0201 Computer System Organization Homework Assignment 1(Maximum grade 30 1 Suppose you have 3 N-bit unsigned integers a b and c What

hw1.pdf - CSCI-UA.0201 Computer System Organization...

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CSCI-UA.0201 Computer System Organization Homework Assignment 1 (Maximum grade: 30) 1. Suppose you have 3 N-bit unsigned integers: a, b, and c. What is the minimum number of bits required to present: (a*b)+c in order not to get an overflow? Explain how you reached your answer. 2. Two’s complement representation seems very unintuitive for us as human being. Why do machines use them then? 3. Given what you said in problem# 2 above, what is/are the disadvantages of two’s complement scheme, beside being unintuitive to us? 4. Suppose we have a 5-bit floating point number where 1 bit is used for the sign, 3 bits for exponent, and 1 bit for fraction. The same rules of normalized, denormalized, and special values numbers in IEEE 754 standard are applied. To get full credit when answering the following questions, show all steps. a) What will be the bias? How did you get it?
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