Bitcoins have three useful qualities in a currency, according to The Economist in January 2015: they are "hard to earn, limited in supply and easy to verify". Economists define money as a store of value, a medium of exchange and a unit of account, and agree that bitcoin has some way to go to meet all these criteria.
Well, if that thing happens then it would be significant to all of us, bitcoins has so many benefits on us, it is commonly used because of convenience compared to the real money, Bitcoin becomes so prominent all over the country, so I think its price will increase more in the future, but I doubt that it will replace that fiat money even it meets all those criteria of a fiat currency, because how could a person handle this things if he has no cellphones or stable internet, yes there are still existing people who don't have cellphone or do not know how to use cellphone, especially those who live in the provinces. It will be hard for them to adjust if it will happen. There is still some person who is not familiar with technology, so, I doubt the government will let those things happen. But anyways, bitcoin is still good in the economy just make sure that it won't pass its limit.