हिंदी

Introduction to Number Systems - Decimal to Binary Conversion

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Decimal to binary Conversion

A decimal number is converted into its binary equivalent number. Dividing the given number by two and taking only remainders does this. This method of dividing by two is known as the "Double-Dabble method." MSB represents "Most Significant Bit," which represents the first number in a given number, which has the maximum weightage. LSB means the "Least Significant Bit," which represents the last number that has the lowest weightage. 

For example:

1) To convert decimal number into binary number, divide the given number by '2' till you get '1'

(29)10 = (11101)

It can be verified by reverse process 

  1           1            1           0      1

 16    +    8     +     4      + `\cancel(2)`  + 1   

= 29

2) Convert (102)10 into binary 

∴ (102)10  = (1100110)2

Fractional numbers:
To convert fractional numbers into decimals, multiply each bit by 2 and take the integer value out

1) Convert (88.625)10  into binary 

∴ (88.625)10  =  (1011000.101)2

Note: In case of odd fractional members, find the binary numbers up to 4 digits or 5 digits to use approximation

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