A nonvolatile memory includes multiple banks, control logic and multiple read and write (RW) circuits. Each bank includes multiple memory cells. The control logic includes multiple storage units corresponding to the banks, respectively, and configured to output write enable signals and read enable signals to respective banks based on mode information stored in respective storage units. The RW circuits are connected to the banks, respectively, and are configured to independently enable or disable write and read operations of the respective banks in response to the write enable signals and the read enable signals of the respective banks. In an initial state after the mode information is stored in the respective storage units, the control logic activates the write enable signals and the read enable signals of the respective banks regardless of the mode information stored in the respective storage units.