Computer Science: An Overview: Global Edition (12th Edition)

Published by Pearson Higher Education
ISBN 10: 1292061162
ISBN 13: 978-1-29206-116-0

Chapter 1 - Data Storage - Section 1.4 - Representing Information as Bit Patterns - Questions & Exercises - Page 52: 8

Answer

a. 15.15 b. 51.0.128 c. 10.160

Work Step by Step

The dot-decimal notation is a presentation format for numerical data expressed as a string of decimal numbers each separated by a full stop. a. the solution is: Step $1 :$ we divide the hexadecimal number to an 8-bit by 8-bit as following: \begin{equation} \begin{array}{c}{00001111} \\ {00001111}\end{array} \end{equation} Step $2 :$ convert each 8-bit to its equivalent decimal representations, as shown below: \begin{equation} \begin{array}{l}{00001111 \rightarrow 15} \\ {00001111 \rightarrow 15}\end{array} \end{equation} Step $3 :$ concatenate decimal numbers by dot, as shown below: \begin{equation} 15.15 \end{equation} ---------------------------------- b. the solution is: Step $1 :$ we divide the hexadecimal number to an 8-bit by 8-bit as following: \begin{equation} \begin{array}{c}{00110011} \\ {00000000} \\ {10000000}\end{array} \end{equation} Step $2 :$ convert each 8-bit to its equivalent decimal representation, as shown below: \begin{equation} \begin{array}{l}{00110011\rightarrow 51} \\ {00000000\rightarrow 0} \\ {10000000\rightarrow 128}\end{array} \end{equation} Step $3 :$ concatenate decimal numbers by dot, as shown below: \begin{equation} 51.0.128 \end{equation} ---------------------------------- c. the solution is: Step $1 :$ we divide the hexadecimal number to an 8-bit by 8-bit as following: \begin{equation} \begin{array}{c}{00001010} \\ {10100000}\end{array} \end{equation} Step $2 :$ convert each 8-bit to its equivalent decimal representations, as shown below: \begin{equation} \begin{array}{l}{00001010\rightarrow 10} \\ {10100000\rightarrow 160}\end{array} \end{equation} Step $3 :$ concatenate decimal numbers by dot, as shown below: \begin{equation} 10.160 \end{equation}
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