Loose Leaf For Introduction To Computing Systems: From Bits & Gates To C & Beyond
Loose Leaf For Introduction To Computing Systems: From Bits & Gates To C & Beyond
3rd Edition
ISBN: 9781260424744
Author: Yale N. Patt, Sanjay Patel
Publisher: McGraw-Hill Education
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Chapter 2, Problem 5E

Explanation of Solution

To represent “7” using “5” bits:

  • Using “5” bits, one can mean “25”, which means “32” unique integers.
  • If those integers are numbers from “0” to “31, then one can mean the digits from “0” to “4” with bits.
  • The “32” possible bit configurations is as follows,
168421Integer
000000
000011
000102
000113
001004
001015
001106
001117
010008
010019
0101010
0101111
0110012
0110113
0111014
0111115
1000016
1000117
1001018
1001119
1010020
1010121
1011022
1011123
1100024
1100125
1101026
1101127
1110028
1110129
1111030
1111131
  • From the above table, the configuration of “5” bits that represent “7” is “00111

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