C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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[画像:CSE330: Discrete Mathematics 1. In the classes, we discussed three forms of floating number representations as given below, (1) Standard/General Form, (2) Normalized Form, (3) Denormalized Form. Now, let's take, ẞ = 2, m = 3, emin = -2 and emax = 3. Based on these, answer the following: (a) (b) (c) (d) What are the maximum/largest numbers that can be stored in the system by these three forms defined above? (express your answer in decimal values) What are the non-negative minimum/smallest numbers that can be stored in the system by the denormalized form? (express your answer in decimal values) How many numbers (both non-negative and negative) can be represented in the above mentioned system using the general form? Explain your answer. Find all the decimal numbers for e = 3 and e = 2 in denormalized form, plot them on a real line and prove that all the numbers are not equally spaced. Write the equally spaced sets for the number line you drew. show your answer in Don't use any Al tool pen and paper]
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Transcribed Image Text:CSE330: Discrete Mathematics 1. In the classes, we discussed three forms of floating number representations as given below, (1) Standard/General Form, (2) Normalized Form, (3) Denormalized Form. Now, let's take, ẞ = 2, m = 3, emin = -2 and emax = 3. Based on these, answer the following: (a) (b) (c) (d) What are the maximum/largest numbers that can be stored in the system by these three forms defined above? (express your answer in decimal values) What are the non-negative minimum/smallest numbers that can be stored in the system by the denormalized form? (express your answer in decimal values) How many numbers (both non-negative and negative) can be represented in the above mentioned system using the general form? Explain your answer. Find all the decimal numbers for e = 3 and e = 2 in denormalized form, plot them on a real line and prove that all the numbers are not equally spaced. Write the equally spaced sets for the number line you drew. show your answer in Don't use any Al tool pen and paper
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