Realization of xor and xnor logic gates utilizing bistable potentials.

Area of Science:

• Nonlinear Dynamics
• Digital Electronics
• Computational Physics

Background:

• Boolean operations are fundamental to integrated circuits and digital systems.
• Logical stochastic resonance (LSR) has enabled AND and OR logic gates in bistable systems.
• Implementing exclusive-or (XOR) and equivalence (XNOR) logic gates via LSR in bistable systems remains a challenge.

Purpose of the Study:

• To propose and verify a novel scheme for reliable XOR and XNOR logic gate implementation.
• To utilize a classical bistable system with absolute-value input signals for this purpose.
• To demonstrate the potential for complex arithmetic operations using the proposed scheme.

Main Methods:

• Analytical solution and numerical simulations were employed.
• A classical bistable system incorporating absolute-value input signals was designed.
• System stability was assessed using parameters like mean first passage time and correct probability.

Main Results:

• A simple and reliable scheme for XOR and XNOR logic gates was successfully proposed.
• The stability of the implemented logic gates was rigorously verified.
• Full-adder arithmetic operations were successfully demonstrated, validating the scheme's applicability.

Conclusions:

• The proposed scheme offers a viable solution for implementing XOR and XNOR logic gates in bistable systems via LSR.
• The method is simple, generalizable, and opens avenues for designing more complex logic operations.
• This work provides new perspectives for developing alternative arithmetic logic platforms.