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?

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?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

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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