The Patriot missile software approximated 0.1 as x = 0.00011001100110011001100 2 . Suppose instead that they had

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The Patriot missile software approximated 0.1 as x = 0.00011001100110011001100₂. Suppose instead that they had used IEEE round-to-even mode to determine an approximation x' to 0.1 with 23 bits to the right of the binary point.

A. What is the binary representation of x'?

B. What is the approximate decimal value of x' − 0.1?

C. How far off would the computed clock have been after 100 hours of operation?

D. How far off would the program’s prediction of the position of the Scud missile have been?

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Computer Systems A Programmers Perspective

ISBN: 9781292101767

3rd Global Edition

Authors: Randal E. Bryant, David R. O'Hallaron

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Question Posted: Nov 06, 2023 09:04 AM

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The Patriot missile software approximated 0.1 as x = 0.00011001100110011001100 2 . Suppose instead that they had

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A Looking at the nonterminating sequence for 1 10 we see ...View the full answer

Computer Systems A Programmers Perspective

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