In a hypothetical 5-bit floating point format, 3 leading bits are used for exponent, E, in...
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In a hypothetical 5-bit floating point format, 3 leading bits are used for exponent, E, in two's compliment format and the two remaining bits are for the fraction F, where the number is determined using x = 1.Fx 2. Answer the following questions: (a) What is the decimal value of the five bits set to 01101? (b) What is the decimal value of the five bits set to 10010? (c) What is the range of this format? (d) How would a 7 get represented in these five bits? (e) How would 0.375 get represented? (f) How many distinct numbers can be represented in this format? In a hypothetical 5-bit floating point format, 3 leading bits are used for exponent, E, in two's compliment format and the two remaining bits are for the fraction F, where the number is determined using x = 1.Fx 2. Answer the following questions: (a) What is the decimal value of the five bits set to 01101? (b) What is the decimal value of the five bits set to 10010? (c) What is the range of this format? (d) How would a 7 get represented in these five bits? (e) How would 0.375 get represented? (f) How many distinct numbers can be represented in this format?
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Computer Organization And Design The Hardware Software Interface
ISBN: 9780123747501
4th Revised Edition
Authors: David A. Patterson, John L. Hennessy
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