There are no banks who accept bitcoin, but with the majority of banks you can withdraw money to an exchange and buy bitcoin.
I use kraken and when i want to buy bitcoins i just iniatiate a SEPA transfer and voila i can buy bitcoin.
I dont think so. Maybe just like others say there is no bank that accept bitcoin. I think you need to wxchange it first to a particular currency before it will accpet by the bank.
i think have bank accepting bitcoin exchange yes here in my country you can withdraw you bitcoin into exchange in fiat money it called the withdrwal transaction is cashless without using an automated teller machine(ATM) to exchange the bitcoin into cash money.
But you must to know, we will need to have a government or other forces guaranteed our Bitcoin in this bank, because in that time, we will use Bitcoin through banking system and can not use normal in our wallet as now. Of course, I never put my Bitcoin in any bank, so stupid when I give my freedom for someone.