Conversion of decimal number 10.625 into binary number, Computer Engineering

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Conversion of decimal number 10.625 into binary number ?


Ans. There is integer part is 10 and fractional part is 0.625. Firstly convert the decimal number 10
in its equal binary number that is, divide 10 with 2 until the quotient becomes 0 shown in table.

 

Quotient

Remainder

10

2

 

5

 

0

5

2

 

2

 

1

2

2

 

1

 

0

1

2

 

0

 

1

Therefore, the integer part 10 is equivalent to binary number 1010. After that convert the decimal fractional part 0.625 in its binary form that is, multiply 0.625 with 2 until the remainder becomes 0.

1216_Conversion of decimal number 10.625 into binary number.png

Therefore, the decimal fractional part 0.625 is equivalent to binary number 0.101. Thus the decimal number 10.625 is equivalent to binary number 1010.101.


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