title: How to represent floating point in binary. IEEE
body: <p>Similar to decimal binary numbers can have represent floats too. Now I read that it can have floats of the sort</p>
  
  <p><code>0.5</code>:<code>0.1</code> , <code>0.25</code>:<code>0.01</code> , <code>0.125</code>:<code>0.001</code> ... and so on. But then, for example,  how is the 0.1(in decimal) represented in binary?</p>
  
  <p>Also, given a decimal float, how to convert it to the decimal equivalent, (given it is not so straightforward).</p>
  
  <p>Edit: So I understand that the better question would have been ; how to convert a decimal float to binary? Now i get it that we multiply the decimal part, till it becomes zero. 
  Now it is very much possible that two floating points can have the same representation right?</p>