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
In Floating Point Addition, the exponents of the two numbers being added need to be made equal before the mantissa fields can be added, as this ensures that the bit positional values are now aligned
Question 11
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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
formats.
The format does not reserve any special values.
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%
What is the largest unsigned integer that may be stored in 20 bits?
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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