This paper describes operating characteristics of a new device named multi-step function MOS transistor (MSF MOSFET) which has stair-shaped I-V curve caused by a stairshaped gap between drain and gate. A quantizing inverter is obtained by using only a single MSF MOSFET as a coupling element of an emitter common amplifier. A pair of the quantizing inverters whose input and output are cross-coupled to each other has multi-stable states. This multiple-valued (MV) flip-flop is available for MV registers and MV memories whose states are changeable by an analog input voltage.