Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 7 - Functions - Exercise Set 7.1 - Page 395: 28

Answer

$a-E(0110)=000111111000\,\,,D(111111000111)=1101 \\ b-E(1010)=111000111000\,\,,D(000000111111)=0011 $

Work Step by Step

$E(s) =\,the\,string\,obtained\,from\,\,s\,\,by\,replacing\,each\,\\ bit\,of\,\,\,s\,\,\,by\,the\,same\,bit\,written\,three\,times.\\ D(t) = the\,string\,obtained\,from\,t\,by\,replacing\,each\,consecutive\,\\ triple\,of\,three\,identical\,bits\,of\,\,\,t\,\,by\,a\,single\,copy\,of\,that\,bit.\\ a-E(0110)=000111111000\,\,,D(111111000111)=1101 \\ b-E(1010)=111000111000\,\,,D(000000111111)=0011 $
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