Prelude to Programming
6th Edition
ISBN: 9780133750423
Author: VENIT, Stewart
Publisher: Pearson Education
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Question
Chapter 2, Problem 21RE
Program Plan Intro
To find out whether the given statement is true or false.
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True/False
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A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows:
The first bit is a sign bit (0 for positive, 1 for negative).
The middle 3 bits are the exponent, which uses bias of 3.
The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754
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The following arithmetic operation is performed on this system:
00011000 x 11000110
The result is then stored in the same 8-bit floating-point format.
What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer
s
are rounded to 5 decimal places.
O a. None of the other answers.
O b. 0.03030%
O c. 0.03125%
O d. 0.97865%
O e. 0%
Chapter 2 Solutions
Prelude to Programming
Ch. 2 - Given the number 108, ____________ is the base.Ch. 2 - Given the number 75, _____________ is the...Ch. 2 - When a base is raised to a power of ________, the...Ch. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - A floating point number has a(n) ______ part and...Ch. 2 - Prob. 8RECh. 2 - To convert the number 8.396052106 to regular...Ch. 2 - Using exponents, the number 1/1000 is ___________.
Ch. 2 - Prob. 11RECh. 2 - What is the decimal value of the 2 in the...Ch. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Which of the following is not an integer? a. 5 b....Ch. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - To make it easier for a human to read a binary...Ch. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - The smallest unsigned integer that can be...Ch. 2 - A number system that uses 7 as a base would be...Ch. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 1PCCh. 2 - Prob. 2PCCh. 2 - Prob. 3PCCh. 2 - Prob. 4PCCh. 2 - Prob. 5PC
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