Let us better understand it with an example. If we have any decimal number say 13009 (we found this decimal number from the above example and by converting it back to Octal number we can also check the previous example.) then this method has been described in the following table:
Division |
Quotient |
Remainder |
Octal Number |
13009 / 8 |
1626 |
1 |
1 |
1626 / 8 |
203 |
2 |
21 |
203 / 8 |
25 |
3 |
321 |
25 / 8 |
3 |
1 |
1321 |
3 / 8 |
0 |
3 |
31321 |
As you can see, we are back with the original number. That is what we should expect. This table was to understand the procedure. Now let us repeat the same conversion to understand the method that should be followed in practice to get the ease of working and to save the time as well. Both are the same things in fact.
8 |
13009 |
|
 |
8 |
1626 |
1 |
8 |
203 |
2 |
8 |
25 |
3 |
8 |
3 |
1 |
|
0 |
3 |
When we arrange the remainders according to the direction of arrow, we get the Octal Number 31321, which we were expecting.
|
