Pretty hard to say how it all will pan out in the future, but i know that here in my home country (Sweden), the banks are making it more and more difficult to even deposit paper cash anymore...
For example, i sold a car recently and acctually got paid in bitcoin (azum) for about 9500$ dollars. I later sold those bitcoins to Swedish kronor(SEK) and put them in my bank account the digital route.
This all went smooth and fine, no problem from the bank at all.
Fast forward a week, i walk in with about 1700$ cash in paper money, trying to get it in my account, absolutly impossible... Their reason being that it could come from criminal acitivity witch is so contradicting as the bitcoins i sold for a much bigger ammount i never got a question about....
Just saying that just until recently putting money in the bank here in sweden was pretty easy. Today old people that have saved paper money for years can´t get it in the bank, because the bank want a report on every single SEK/USD to accept it. A Swedish newspaper recently wrote about this as a old man could not get money he saved in his attic whole his life in cash, because he could not prove where every Krona came from...
I dont know if these two things are connected, but it feels weird. Money basically is just digital code anyways now, a full implementation of crypto currencies does not seem to far away IMO!