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perl -le 'print sprintf("%6.1f: ", $_),
                reverse(split //, 
                  unpack("b*", pack("F", $_))) 
          for map {eval} @ARGV'

33.3 33.4 '33.3+33.3' '33.4+33.3' '33.3+33.3+33.4' '33.4+33.3+33.3'

 33.3:0100000001000000101001100110011001100110011001100110011001100110
 33.4:0100000001000000101100110011001100110011001100110011001100110011
...
 66.7:0100000001010000101011001100110011001100110011001100110011001100
100.0:0100000001011001000000000000000000000000000000000000000000000000
100.0:0100000001011000111111111111111111111111111111111111111111111111

33.3 is represented as 2^5 times
  B1.0000101001100110011001100110011001100110011001100110
...
  B1.1001000000000000000000000000000000000000000000000000
100.0 (not quite) is represented as 2^6 times
  B1.1000111111111111111111111111111111111111111111111111

33.3 + 33.3 is then 2^5 times:
   1.0000101001100110011001100110011001100110011001100110
...

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

66.6 + 33.4 is now 2^6 times:
   1.0000101001100110011001100110011001100110011001100110
...
+  0.1000010100110011001100110011001100110011001100110011
---------------------------------------------------------
   1.1000111111111111111111111111111111111111111111111111