Based on the reconfigurability of FPGAs, a digital circuit-based binary memristor emulator is proposed. Compared with the analog circuit-based memristor emulator, the proposed digital circuit-based memristor emulator was easier to reconfigure and was in good match with the mathematical model on which it was based, which could meet all the required characteristics of a memristor emulator. The and-gate, or-gate, adder, and three-person voter were implemented based on this emulator, and the functions of the emulator and the logic circuits were verified by the Altera Quartus II and ModelSim tools. Furthermore, the circuit schematics, simulations results and FPGA resource consumption were given for all designs. According to the simulation results, this binary memristor emulator has smaller hardware resource consumption and is more suitable for the study of large-scale memristor arrays than other digital circuit-based memristor emulators.