title: Whats the largest denormalized and normalized number?(64bit, IEE 754-1985)
body: <p>I am struggeling with floating point arithmetic, because I really want to understand this topic!</p>
  
  <p>I know that the numbers can be represented in scientific notation.</p>
  
  <p>So for both numbers the exponent should look like:</p>
  
  <p><strong>Denormalized Number:</strong>
  11....11 so (1+1/2 + 1/2^2 + ... + 1/2^52)*2^1023</p>
  
  <p><strong>Normalized Number:</strong>
  11....11 so (1+1/2 + 1/2^2 + ... + 1/2^52)*2^1024</p>
  
  <p>However, I am not sure if this is correct?</p>
  
  <p>I really would appreciate your answer!</p>
  
  <p>PS.: On wikipedia the number is <a href="http://en.wikipedia.org/wiki/IEEE_754-1985#Examples" rel="noreferrer">given!</a> However, I do not know how they came up with that...</p>