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Convert (7345321)8 to its binary expansion and (10 1011

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 17E Chapter 4.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 17E

Convert (7345321)8 to its binary expansion and (10 1011 1011)2 to its octal expansion.

Step-by-Step Solution:

Step 1 of 8</p>

In this problem we have to convert an given octal number to its equivalent binary number and then convert a given binary number to its equivalent octal number.

Step 2 of 8</p>

Given Octal number = (7345321)8

The table which corresponds to Octal  and binary conversion is shown below

Binary code follows 8-4-2-1, Where 8,4,2 and 1 are the values of each bit

           BINARY ( 8-4-2-1)

         OCTAL

              000

         0

              001

         1

              010

         2

              011

         3

              100

         4

              101

         5

              110

         6

              111

         7

        001 000

         10

        001 001

         11

        001 010

         12

        001 011

         13

        001 100

         14

        001 101

         15

        001 110

         16

        001 111

         17

Step 3 of 8

From the Table in Step-2 we can get binary equivalents of each octal number, we get

7 = 111

3 = 011

4 = 100

5 = 101

3 = 011

2 = 010

1 = 001

Step 4 of 8</p>

Therefore the binary equivalent of (7345321)8 is (111 011 100 101 011 010 001)2

Step 5 of 8

Chapter 4.2, Problem 17E is Solved
Step 6 of 8

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Convert (7345321)8 to its binary expansion and (10 1011

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