Fibonacci coding

The Fibonacci code is a universal code[?] which encodes smaller numbers into shorter code words. All tokens end with "11" and have no "11" before the end. The code begins as follows:

 1  11
 2  011
 3  0011
 4  1011
 5  00011
 6  10011
 7  01011
 8  000011
 9  100011
 10 010011
 11 001011
 12 101011

To decode a token in the code, remove the last "1", assign the remaining bits the values 1,2,3,5,8,13... (the Fibonacci numbers), and add the "1" bits.