title: What is wrong with my IEEE 754 floating point representation?
body: <p>I am being asked in a homework to represent the decimal 0.1 in IEEE 754 representation. Here are the steps I made: </p>
  
  <p><a href="https://i.stack.imgur.com/WENuF.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/WENuF.png" alt="enter image description here"></a></p>
  
  <p>However online converters, and this <a href="https://stackoverflow.com/questions/3448777/how-to-represent-0-1-in-floating-point-arithmetic-and-decimal">answer on stack exchange</a> suggests otherwise. They put this solution:</p>
  
  <pre><code>s eeeeeeee mmmmmmmmmmmmmmmmmmmmmmm
  0 01111011 10011001100110011001101
  </code></pre>
  
  <p>The difference is the number 1 at the right. Why isn't it 1100, why is it 1101? </p>