Editing Golden ratio base (section)

==Practical usage==
It is possible to mix base-φ arithmetic with [[Generalizations of Fibonacci numbers|Fibonacci integer sequences]]. The sum of numbers in a General Fibonacci integer sequence that correspond with the nonzero digits in the base-φ number, is the multiplication of the base-φ number and the element at the zero-position in the sequence. For example:
*product 10 (10100.0101 base-φ)  and 25 (zero position) = 5 + 10 + 65 + 170 = 250
*:base-φ:               1 0 1  0  0. 0  1   0   1 
*:partial sequence:  ... '''5''' 5 '''10''' 15 ''25'' 40 '''65''' 105 '''170''' 275 445 720 1165 ...
*product 10 (10100.0101 base-φ)  and 65 (zero position) = 10 + 25 + 170 + 445 = 650
*:base-φ:                   1  0  1  0  0. 0    1   0   1 
*:partial sequence:  ... 5 5 '''10''' 15 '''25''' 40 ''65'' 105 '''170''' 275 '''445''' 720 1165 ...