Golden mean base

The Golden mean (φ) can be used as a number base. In it, all integers have representations of finite length. If you include the rule that you cannot have the digit sequence "11" within a numeral, each integer has a unique numeral. Examples:

Decimal	Powers of φ	Base φ
1	φ0	1
2	φ1+φ-2	10.01
3	φ2+φ-2	100.01
4	φ2+φ0+φ-2	101.01
5	φ3+φ-1+φ-4	1000.1001
6	φ3+φ1+φ-4	1010.0001
7	φ4+φ-4	10000.0001
8	φ4+φ0+φ-4	10001.0001
9	φ4+φ1+φ-2+φ-4	10010.0101

External Links

• Using Powers of Phi to represent Integers (Base Phi) (http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phigits)