Erm... what bank does that? The dollar is not "backed by gold" and niether is the Pound or the Euro. I don't think any currency is backed by gold anymore, world economy outgrew the stuff.
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They did not "outgrow" the stuff, they "defaulted" on contractual obligations because they committed fraud by printing receipts for gold that did not exist and giving them to people in exchange for a promise to repay with real "gold" plus interest.
With bitcoins you cannot have an IOU 1 BTC masquerading as a real BTC. In order to borrow BTC the lender must actually have BTC.
If I rent a house for 1 year, it would be fraud for me to 'sublease' it for 2 years. A checking/savings account is like the bank renting a hotel room for one night, knowing that the hotel owner (customers depositing money at the bank) could sell the room to someone else the next day (withdraw on demand). The Bank commits fraud when it turn sublets the rooms (deposits) for longer than 1 day.
So people are right to be outraged at the current financial system because it is entirely based upon legalized fraud.