A hardware memory includes at least one memory cell, peripheral circuitry and randomization circuitry. The memory cell(s) store data, which may be written to, read from and held in the hardware memory. The peripheral circuitry reads and writes data to the memory cell(s) and may perform other functions necessary for facilitating the data read, write and hold. The randomization circuitry randomizes operations performed by the peripheral circuitry to reduce a correlation between the data and the current consumed by the hardware memory.