title: Floating point computer - Trouble with getting back correct results
body: <p>Having trouble with a challenge.</p>
  
  <p>Let's say I have a theoretical, <strong>base 10</strong>, floating point calculator with the following characteristics</p>
  
  <ul>
  <li>Only 3 digits for mantissa</li>
  <li>1 digit for exponent</li>
  <li>Sign for mantissa and exponent</li>
  </ul>
  
  <p>How would this machine compute the following?</p>
  
  <p><code>300 + \sum_{i=1}^{100} 0.2</code></p>
  
  <p>The correct result is 320. The machine's result is 300. But why? Can't get where the 20 goes goes missing...</p>
  
  <p>Thanks for your time.</p>