The invention relates to a banknote system for inputting and outputting banknotes and a method for controlling the banknote system. Specified is a banknote system for inputting and outputting banknotes and a method for controlling a banknote system, by means of which a multiplicity of nominal values can be processed and which is characterized by a space-saving construction. In particular, a space-saving storage of banknotes having different nominal values is provided in a simple manner by storing banknotes having at least two different nominal values in one storage unit. The value of a banknote is determined with the aid of a detection unit for determining the nominal value, such that the nominal value of the stored banknote is known. The determined nominal value of a banknote is preferably saved in a control unit, such that the sequence of the stored banknotes in terms of their nominal value is known for each storage unit. Consequently, it is not necessary to provide a separate cartridge for each nominal amount in the banknote system according to the invention.