A memory device according to an embodiment comprises a data processing circuit that includes: a data write pre-processing circuit that processes input data to generate first intermediate data; a data write processing circuit that sequentially sets a voltage difference between a selected row line and a selected global bit line based on the first intermediate data; a data read processing circuit that detects a current flowing in the selected global bit line or a voltage of the selected global bit line and sequentially generates second intermediate data from a result of that detection; and a data read post-processing circuit that processes the second intermediate data to generate output data, the data write pre-processing circuit and the data read post-processing circuit having a correcting function that corrects a difference that may occur between the input data and the output data.