A shared-signaling multi-device memory system is capable of changing between addressing modes without the multi-device memory being required to undergo a power cycle. First and second registers of a memory device are set to both contain first address-identification information in response a first address-assignment command that is received a power cycle. The first register is set to contain second address-identification information in response a second address-assignment command that is received subsequently to the first address assignment command. Depending on the value of the second address-identification information, the memory device is configured in an individual-device-addressing mode or a parallel addressing mode without a power cycle. The first register can be reset to the first address-identification information contained in the second register in response to an address-restore command without a power cycle. A corresponding method is also disclosed.