Conversion From Decimal To Another Base


 
 
Concept Explanation
 

Conversion From Decimal To Another Base

Converting from Decimal to Another Base (Division - Remainder Technique)

The following four steps are used to convert a number from decimal another base

  • Step 1 : Divide the decimal number to be converted by the value of the new base.
  • Step 2 : Record the remainder from Step 1 as the rightmost digit (least significant digit) of the new base number.
  • Step 3 : Divide the quotient of the previous divide by the new base.
  • Step 4 : Record the remainder from Step 3 as the next digit (to the left) of the new base number.
  • Repeat Step 3 and 4, recording remainder from right to left, unit the quotient becomes zero in Step 3. note that the last remainder thus obtained will be the most significant digit (MSD) of the new base number.

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