how to convert fractional decimal to binary ?

[raja.mugavai]

Convert the following fractional decimal to binary...

 

1/2 = 0.1

1/4 = 0.01

1/8=0.001

 

How this possible...

 

kindly help me..

[fiveworlds]

1 and 8 are numbers or operands.

/ is often used as a numerical operator. The binary for it tells the computer oh I have to divide.

Then there is division using subtraction. Remember learning division in primary school? Computers have subtraction and addition.

 

Numbers only go to z bits of precision depending on computer. Also the computer language you use and the complexity of your function makes a difference.

http://msdn.microsoft.com/en-us/library/3b1ff23f.aspx

//Floating point quotient:    2.33333333333333 

14 bits of precision.

Edited July 31, 2014 by fiveworlds

[EdEarl]

In decimal-positional notation consider a number such as 12.34, which equals (base 10) 10*1 + 1*2+0.1*3+0.01*4 = 10¹*1+10⁰*2+10^-1*3+10^-2*4.

 

In binary-positional notation consider 10.101, which equals (base 10) 2*1+1*0+0.5*1+0.25*0+0.125*1 = 2¹*1+2⁰*0+2^-1*1+2^-2*0+2^-4*1..