A Safety Instrument Function (SIF) averts hazardous incidents that may arise due to diverse anomalies within a system. The SIF prevents potential dangers by comprising three integral components—the Sensing Element, the Logic Solver, and the Final Element. The 2oo3 architecture is the optimal configuration for each SIF component, employing both AND and OR logic designs for its voting mechanism. Type A devices, recognized for their passive nature, exemplify robustness and reliability. While these devices are acknowledged as the most dependable, semiconductor devices or microcontrollers, categorized as Type B, often find application in logic processing. This paper introduces the incorporation of memristors, inherently passive devices with memory attributes, into the system. The Logic Solver, which calculates confidence values, exhibited greater efficacy than Type B devices. Verification was conducted through LTspice circuit simulations. Result of the Memristor for Logic Solver in the safety Instrumentation function (SIF) IEC 61508/61511 standard: voter circuit has the lowest components, failure rate, and most mean time to failure. That is more reliable than the other voter.