1. Briefly describe questions below: A. What is a normalized floating point number and what is...
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1. Briefly describe questions below: A. What is a normalized floating point number and what is the purpose of normalization? B. A general floating point system is characterized by four values (P. 1, L, U). Explain in a few brief sentences the meaning and importance of each of these parameters. C. Write down the floating point representation of a given real number x in a decimal system with 1 = 4, using a. chopping b. rounding. D. Define rounding unit (or machine precision) and explain its importance. E. Define overflow and underflow. Why is the former considered more damaging than the latter. F. What is a cancellation error? Give an example of an application where it arises in a natural way. G. What is the rounding unit for base ß = 2 and 1 = 52 digits? H. Under what circumstances could nonnormalized floating point numbers be desirable? 1. Explain the storage scheme for single precision and double precision numbers in the IEEE standard. 1. Briefly describe questions below: A. What is a normalized floating point number and what is the purpose of normalization? B. A general floating point system is characterized by four values (P. 1, L, U). Explain in a few brief sentences the meaning and importance of each of these parameters. C. Write down the floating point representation of a given real number x in a decimal system with 1 = 4, using a. chopping b. rounding. D. Define rounding unit (or machine precision) and explain its importance. E. Define overflow and underflow. Why is the former considered more damaging than the latter. F. What is a cancellation error? Give an example of an application where it arises in a natural way. G. What is the rounding unit for base ß = 2 and 1 = 52 digits? H. Under what circumstances could nonnormalized floating point numbers be desirable? 1. Explain the storage scheme for single precision and double precision numbers in the IEEE standard.
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Answer ANormalized Floating Point Number and Normalization A normalized floatingpoint number is a representation of a real number in scientific notati... View the full answer
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