33.3 + 33.3 is then 2^5 times:
   1.0000101001100110011001100110011001100110011001100110
+  1.0000101001100110011001100110011001100110011001100110
---------------------------------------------------------
  10.0001010011001100110011001100110011001100110011001100

But that's too long for a double, so it's represented
as 2^6 times
   1.0000101001100110011001100110011001100110011001100110


33.4 + 33.3 is then 2^5 times:
   1.0000101100110011001100110011001100110011001100110011
+  1.0000101001100110011001100110011001100110011001100110
---------------------------------------------------------
  10.0001010110011001100110011001100110011001100110011001

Now, smashing that into a double results in 2^6 times:
   1.0000101011001100110011001100110011001100110011001100