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Most hardware neural networks have a basic competitive learning rule on top of a more involved processing algorithm. This work highlights two basic learning rules/behavior: winner-take-all (WTA) and spike-timing-dependent plasticity (STDP). It also gives a design example implementing WTA combined with STDP in a position detector. A complementary metal-oxide-semiconductor (CMOS) and a memristor-MOS technology (MMOST) design simulation results are compared on the bases of power, area, and noise handling capabilities. Design and layout were done in 130-nm IBM process for CMOS, and the HSPICE model files for the process were used to simulate the CMOS part of the MMOST design. CMOS consumes area, 55-W max power, and requires a 3-dB SNR. On the other hand, the MMOST design consumes , 15-W max power, and requires a 4.8-dB SNR. There is a potential to improve upon analog computing with the adoption of MMOST designs.