This is precisely what I don't get about cryptocurrencies. There is no intrinsic value, and they're not even backed by the full faith and credit of, well, anyone. I don't see why it's "worth" anything.
And, we don't need a digital currency. We already have a bunch of them (the US dollar among them). Most money in the world doesn't exist as physical coins, notes, gold/silver, etc. It's all bits in a computer, but those bits are backed by a sovereign entity. That's why we are able to use them as currency.
If anyone can explain the fundamentals of why BTC or any other cryptocurrency should have any value whatsoever, I would really appreciate that.