Decimal 2 Decimal

Published Wednesday, March 08, 2006 by Vurdlak | E-mail this post

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Number we want to transform uses base X: we would like to transform this number into new one, that uses Y base. In this case we will use method of continuous dividing and multiplying (dividing numbers left of comma (,) with Y and multiplying numbers on the right side of comma, by Y - rational numbers). This method is best understood looking at these exampleswhere both X & Y equal to 10 (decimal base, B=10)



Decimal System:

Base: 10
Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9




Example

Transform 5324 (decimal) into decimal number (?!) using method of continuous dividing – result 5324


5324 : 10 = 532 , remaining 4   100         last digit
532 : 10 =    53 , remaining 2   101
53 : 10 =       5 , remaining 3   102
5 : 10 =       0 , remaining 5   103         first digit


- end of procedure





Example

Transform 0,8125 (decimal) into decimal number (?!) using method of continuous multiplying – result 0,8125


0,8125  * 10 =   8, 125    10-1           first digit after zero
0,125    * 10 =   1, 25      10-2
0,25      * 10 =   2, 5        10-3
0,5        * 10 =   5, 0        10-4            last digit

0,0                                   end of procedure







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