As is known the "binary" subtraction is arithmetical operation being more complicated as the "binary" addition. There exist two variants of the "binary" subtraction: (1) the subtraction in the "direct" code; (2) the subtraction based on the application of the special codes numbers (the "inverse" and "supplementary" codes).
The method of the "direct" subtraction is based on the following property of the "binary" numbers:
Then we can design the following subtraction table for the classical "binary" number system:
Let's write down the following identity for Fibonacci numbers:
We can see that the identity (2) is similar to (1). Then using identity (2) we can design the following Fibonacci subtraction table:
It was proved that one may be introduced the notions of the Fibonacci "inverse" and "supplementary" codes; then by usage of these notions the procedure of the Fibonacci subtraction proves to be similar to the "binary" subtraction. And we refer our readers to Stakhov's books "Introduction into Algorithmic Measurement Theory" and "Codes of the Golden Proportion".