In the land of Binary, the unit of currency is called Ben and currency notes are available in denominations $$1, 2, 2^{2}, 2^{3}...$$ Bens. The rules of the Government of Binary stipulate that one can not use more than two notes of any one denomination in any transaction. For example, one can give a change for $$2$$ Bens in two ways: $$2$$ one Ben notes or $$1$$ two Ben note. For $$5$$ Ben one can give $$1$$ one Ben note and $$1$$ four Ben note or $$1$$ one Ben note and $$2$$ two Ben notes. Using $$5$$ one Ben notes or $$3$$ one Ben notes and $$1$$ two Ben notes for a $$5$$ Ben transaction is prohibited. Find the number of ways in which one can give change for $$100$$ Bens, following the rules of the Government.