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# Convert (7345321)8 to its binary expansion and (10 1011 ISBN: 9780073383095 37

## Solution for problem 17E Chapter 4.2

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

Step 6 of 8

##### ISBN: 9780073383095

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