I remember I read in the past an article that right now there is only around 8% of cash money, while the rest is the money in digital form. Therefore we already live in the world, where majority of the money is in digital form and this percentage will for sure increase.
However there should always be a cash imho - it is really important because it protects you from the big brother, from governments etc. This is also the reason why cryptocurrencies are viable.