Main Memory and Registers of just about every computer are based on 64-bit or 32-bit binary integers.
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Binary Numbers all a computer knows!
Computers store and process data in binary form: current on or off, location magnetised or not, laser reader hits a pit or not.
Assuming you mean the Universal Product Code, and assuming you mean computing the numbers into binary, I've linked a page that gets into a lot of detail about it.
The only numbers used in binary are 0 and 1
Yes.