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In this paper a new low voltage low power class AB CMOS second generation current conveyor (CCII) based on Rail-to-Rail folded cascode Op-Amp is presented, with a great performance. The proposed CCII provides very low input impedance at X-port, very high input impedance at Y-port, accurate voltage and current tracking with low offset, and wide bandwidth. As an application, a four quadrant analog multiplier has been built based on the proposed CCII. The proposed CCII performance has been investigated by Pspice simulation program using TSMC 0.18 μm CMOS technology. The presented CCII is supplied at ± 0.75 V.