Disclaimer: I don't think this stuff can be fully understood without understanding the math, which I don't. I've been through descriptions of the math several times and still don't completely get it.Someone please explain what the $10,000 cryptocurrency computing machine linked to previously "makes" and why it has value. It's like someone trying to sell me a sophisticated printing press to print my own $20 bills.
Digital currency is based on creating a sequence of numbers. Your money is represented by a number. Likewise, transactions, where bitcoins change hands, are represented by a sequence of numbers. To prevent people from creating fake coins or fake transactions, they are related to one another by a complicated math formula. Verifying the integrity of the transactions requires solving a hard math problem that takes a lot of computation. That's "mining." To give people an incentive to mine, successfully verifying a set of transactions earns you a certain amount of the currency.
So it's like a way to pay people to guard the vault, by letting them have some of the contents of the vault if they keep it safe for everybody.
