Brain-inspired circuits can provide an alternative solution to implement computing architectures taking advantage of fault tolerance and generalization ability of logic gates. In this brief, we advance over the memristive threshold circuit configuration consisting of memristive averaging circuit in combination with operational amplifier and/or CMOS inverters in application to realizing complex computing circuits. The developed memristive threshold logic gates are used for designing fast Fourier transform and multiplication circuits useful for modern microprocessors. Overall, the proposed threshold logic outperforms previous memristive-CMOS logic cells on every aspect, however, they indicate a lower chip area, lower total harmonic distortion, and controllable leakage power, but a higher power dissipation with respect to CMOS logic.