title: How did we get this real number in binary?
body: <p>from <a href="http://community.topcoder.com/tc?module=Static&amp;d1=tutorials&amp;d2=integersReals" rel="nofollow">this article</a>:</p>
  
  <p>the number 5.125 (binary 101.001) why? 101 is 5  , but how are decimal places converted?</p>
  
  <p>Also from that article -  a bias is added to the actual exponent e. </p>
  
  <p>What is bias? What is the purpose of it?</p>