Classical binary computing technology utilizes transistor scaling for improved performance. However, with predicted limits of transistor scaling, alternative logic systems like ternary systems are gaining attraction. Furthermore, neural network circuits often produced weights wherein ternary representations would lead to optimum results. Memristors are a promising passive device that is being used in a number of neuromorphic systems, but also provide a possibility to realize simple ternary logic gates. This paper presents the design and experimental results of the first-ever implementation of balanced ternary logic gates using Silicon Dioxide memristors. Utilizing the bipolar switching mechanism of these memristors, we fabricated OR and AND logic gates. The experimental results show stable logic functionality.