Even–Rodeh code is a universal code encoding the non-negative integers developed by Shimon Even and Michael Rodeh.[1]
To code a non-negative integer N in Even–Rodeh coding:
0
bit. Otherwise the coded value is empty.To decode an Even–Rodeh-coded integer:
0
then stop. The decoded number is N.1
then continue to step 2.0
then read 1 bit and stop. The decoded number is N.1
then read N bits, store the value as the new value of N, and go back to step 2.Number | Encoding | Implied probability |
---|---|---|
0 | 000 |
1/8 |
1 | 001 |
1/8 |
2 | 010 |
1/8 |
3 | 011 |
1/8 |
4 | 100 0 |
1/16 |
5 | 101 0 |
1/16 |
6 | 110 0 |
1/16 |
7 | 111 0 |
1/16 |
8 | 100 1000 0 |
1/256 |
9 | 100 1001 0 |
1/256 |
︙ | ||
15 | 100 1111 0 |
1/256 |
16 | 101 10000 0 |
1/512 |
︙ | ||
2761 | 100 1100 101011001001 0 |
1/1,048,576 |
︙ |