A memory device includes at least two DRAM memory modules, at least one external ECC module, and a memory controller. The external ECC module provides the memory modules with ECC functionality. Each memory module is connected to the memory controller via a respective memory channel. The external ECC modules are connected to the memory controller via a common ECC channel. Each external ECC module is assigned to a group of the memory modules. The memory modules of one group with respective ECC modules are synchronously operated by the memory controller.