homework1 - e differs from the value represented in the...

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ECE 190 Homework 1 Spring 2011 Complete all parts of the following problems from the textbook: 1.13 , 2.3, 2.9, 2.10, 2.11, 2.12, 2.18, 2.20, 2.26, 2.34, 2.48, 2.49, 2.54 . Be sure to check the errata page at http://highered.mcgraw-hill.com/sites/0072467509/information_center_view0/errata_page.html due to errors in the first print. In addition, solve the following 2 problems: 1. The number e is transcendental, which implies that an infinite number of bits are required to represent it exactly. If e is represented using IEEE standard 32-bit floating point notation, what is the accuracy of that representation? In other words, give a close upper bound on how much the true value of
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Unformatted text preview: e differs from the value represented in the floating point representation. 2. If an integer (positive or negative) N is represented in binary, then to obtain -N in one's complement, all you need to do is XOR with a particular number. What is that number? Demonstrate your answer for N=11 2 as an example. This homework is due on Wednesday January 26 at 5pm promptly. It should be deposited in the ECE 190 dropbox in Everitt Lab. We will post solutions sometime thereafter, so late homeworks will not be accepted. No exceptions to this rule will be given....
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This note was uploaded on 03/08/2012 for the course ECE 190 taught by Professor Hutchinson during the Spring '08 term at University of Illinois, Urbana Champaign.

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