Conversion In Number System


 
 
Concept Explanation
 

Conversion In Number System

Converting to Decimal from Another Base

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

    Step 2 :    Multiply column values by corresponding column digits

    .... (More Text Available, Login?)
    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    If you convert the decimal number 31 into binary number, how many 1's are there in the binary number ?

    Right Option : D
    View Explanation
    Explanation
    Question : 2

    When the decimal number 16 is converted into binary number, how many binary digits are needed ?

    Right Option : C
    View Explanation
    Explanation
    Question : 3

    If the binary equivalent equivalent of the decimal number 48 is 110000, then the binary equivalent of the decimal number 51 is given by ____________.

    Right Option : A
    View Explanation
    Explanation
     
     


    Students / Parents Reviews [10]