This paper proposes a design method for unbalanced ternary logic family based on hybrid design of binary memristors and CMOS transistors, building on the foundational positive ternary logic circuits. By using the symmetry of negative and positive ternary logics, negative ternary TAND, TOR, TI, 1-3 decoder and 2-9 decoder are derived from the previously designed positive ternary basic logic gate circuits. Furthermore, negative ternary XOR, XNOR, 3-1 encoder, and 9-2 encoder are design-improved. For the first time, unbalanced ternary priority encoders is proposed, including a 3-1 priority encoder and a 9-2 priority encoderof which the former is implemented with only 7 memristors. The functionalities of these circuits are demonstrated through LTSpice simulations. Finally, hardware experiments were performed on a stable 2020 ZnO-based resistive switch array. Subsequent design of more complex digital logic circuits can benefit from this work.