Conversion From Another Base To Decimal


 
 
Concept Explanation
 

Conversion From Another Base To Decimal

Converting from Another Base to Decimal:

The following three steps are used to convert to a base 10 value from any other number system :

  • Step 1 : Determine the column (positional) value of each digit (this depends on the position of the digit and the base of the number system).
  • Step 2 : Multiply the obtained column values (in Step 1) by the digits in the corresponding columns.
  • Step 3 : Sum the products calculated in Step 2. The total is the equivalent in decimal. 
  • Example 1:

     11001_2=?_1_0

    Solution:

    In the question the number is given with a base 2

    Step 1: Determine column values

    Column Number   (from right) Column Value
    1  2^0=1
    2 2^1=2
    3 2^2=4
    4 2^3=8
    5 2^4=16
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