As the demand for bioâinspired neuromorphic systems grows, memristor has emerged as a pivotal component in artificial synaptic devices. This study delves into the advantages and limitations of the oneâtransistorâoneâresistor (1Tâ1R) and 0Tâ1R architectures for memory array configurations. A significant enhancement in the memristor's on/off ratio, surpassing 103, achieved by integrating both an overshoot suppression layer (OSL) and an ultraâthin AlN oxygen barrier layer (OBL) is also reported. The concurrent insertion of an AlOx OSL is essential for manifesting the selfâcompliance attribute in 4F2 memristor arrays. Evaluations of a 24 Ă 24 array embedded with OSL and OBL reveal a substantial reduction in retention variation. In terms of functionality, a 7.13âfold decline in vectorâmatrix multiplication error is observed, accentuating the potential of this approach for neural network synapse applications. The analog reset characteristics of the OBL memristor facilitate over 25 multilevel states. Furthermore, the adoption of nonnegative weights presents an avenue to potentially double synaptic integration density. Through simulation program with integrated circuit emphasis simulations, the necessity of nonnegative and 16âlevel quantized conductance in balancing power consumption without accuracy loss at the image classification is validated.