A device that is connected to a bus can transmit data to one or more other devices and/or can receive data from other devices, through the bus, includes storage (i.e., memories or memory areas) in which data to be transmitted or received is temporarily stored, and a control device that determines whether or not any data is to be transmitted and, if appropriate, in which storage the data that are to be transmitted next is stored and/or in which storage the received data is to be stored. Information not contained in the data transmitted through the bus is stored in each storage, and is used to allocate a priority level to the respective storage, and the control device takes this information into account to decide the storage in which the next data to be transmitted will be stored and/or the storage in which the received data is to be stored.