Any floating-point representation used in a computer can represent only certain real numbers exactly; all others must be approximated. If A' is the stored value approxi- mating the real value A, then the relative error, r, is expressed as A - A' A r = = 2; Represent the decimal quantity +0.4 in the following floating-point format: base exponent: biased, 4 bits; significand, 7 bits. What is the relative error?

C++ for Engineers and Scientists
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ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter7: Arrays
Section: Chapter Questions
Problem 8PP: (Statistical) In many statistical analysis programs, data values considerably outside the range of...
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Any floating-point representation used in a computer can represent only certain real
numbers exactly; all others must be approximated. If A' is the stored value approxi-
mating the real value A, then the relative error, r, is expressed as
A - A'
A
r =
Represent the decimal quantity +0.4 in the following floating-point format: base
exponent: biased, 4 bits; significand, 7 bits. What is the relative error?
=
2;
Transcribed Image Text:Any floating-point representation used in a computer can represent only certain real numbers exactly; all others must be approximated. If A' is the stored value approxi- mating the real value A, then the relative error, r, is expressed as A - A' A r = Represent the decimal quantity +0.4 in the following floating-point format: base exponent: biased, 4 bits; significand, 7 bits. What is the relative error? = 2;
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