Digital money definetely eliminates the paper money involved in the system. But would it make the system completely cashless is the main question. Well, it can definetely bring in a "less cash" drive than the cashless one. Offcourse achieving a cashless society is the bigger goal but we need to wait for that for a while. For now, less-cash society is whats being offered with the advent of digital money, and the whole digitization process  alltogether.

Offcourse the cryotocurrency will add to this in a good and substantial way as it is based completely on digital money, created and existant over the cloud. This if regularised in a more advanced and accepting way, will definetely pave ways for cash-less economy and will eliminate problems assiciated with paper money like theft, laundering, corruption, etc.