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    This study introduces a recursive threshold logic unit using memristive crossbars to emulate Boolean logic. This novel approach offers a more efficient and resilient method for complex computations compared to traditional designs.

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    Area of Science:

    • Neuromorphic Engineering
    • Computer Science

    Background:

    • Neuron firing principles and weighted charge accumulation inspire computational models.
    • Biological neurons exhibit dynamic feedback and feedforward responses.
    • Threshold logic design applies threshold functions to weighted input sums.

    Purpose of the Study:

    • To present a recursive threshold logic unit emulating Boolean expressions time-sequentially.
    • To implement Boolean expressions using memristive crossbars and CMOS comparators.
    • To leverage reliable memristor programming in 1T1R configurations for larger crossbar sizes.

    Main Methods:

    • Utilizes output feedback from threshold logic gates for recursive emulation.
    • Employs analog resistive dividers in memristive crossbars for Boolean expression implementation.
    • Designs a hard-threshold function with a CMOS comparator for OR and AND operations.
    • Employs 1T1R memristive crossbar configuration to suppress sneak path currents.
    • Tunes reference threshold voltage for AND/OR logic with constant RON memristor resistance.

    Main Results:

    • Achieves reliable programming of memristors, enabling larger crossbar sizes and more inputs.
    • Demonstrates circuit resilience to memristor variability and aging.
    • Shows the proposed recursive logic uses fewer cross-points.
    • Exhibits lower power dissipation compared to existing memristive and CMOS logic.

    Conclusions:

    • The recursive threshold logic unit offers an efficient and resilient approach to Boolean expression emulation.
    • Memristive crossbars with 1T1R configuration provide a scalable solution for complex logic.
    • The proposed design presents advantages in terms of component count and power efficiency.