Abstract
VLSI technology can integrate a large number of electronic components into a single chip. But as per the Moore’s prediction, this technology will soon hit a wall and no further miniaturization of VLSI chips will be possible. Because of this blockade that the technology would soon face, the scientists are turning their focus to emerging nanotechnology. Memristor can be such an alternative, which has the potential of very high speed, smaller size, and minimum power consumption compared to transistor-based technology. Memristor can be considered synonymous to “memory plus resistor” where its internal resistance acts as the data value stored in it, and it has the capability of retaining its previous resistance value even when the power supply is withdrawn. This paper utilizes this unique property of memristor in a new way to simulate unate symmetric functions. Implementation of 3- and 5-input unate symmetric functions are shown in the memristor-based memristor circuit.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chua, L.O.: Memristor-the missing circuit element. IEEE Trans. Circuit Theory, CT–18(5) (1971)
Haridas, M., Patil, S., Manjunath, T.C.: Recent ATC’s in the design of memristors. Int. J. Comput. Electr. Eng. 2(3) (2010)
Kule, M., Dutta, A., Rahaman, H., Bhattacharya, B.B.: High-speed decoder design using memristor-based nano-crossbar architecture. In: Sixth International Symposium on Embedded Computing and System Design (ISED) (2016)
Chen, Q., Wang, X., Wan, H., Yang, R.: A logic circuit design for perfecting memristor- based material implication. IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 36(2) (2017)
Owlian, H., Keshavarzi, P., Rezai, A.H.: A novel digital logic implementation approach on nanocrossbar arrays using memristor-based multiplexers. Microelectron. J. (2014)
Teimoory, M., Amirsoleimani, A., Shamsi, J., Ahmadi, A., Alirezaee, S., Ahmadi, M.: Optimized implementation of memristor-based full adder by material implication logic. In: 21st IEEE International Conference on Electronics, Circuits and Systems (ICECS) (2014)
Lavanya, A., Gopal, B.G.: Imply logic implementation of carry save adder using memristors. Int. J. Eng. Res. Appl. 5(5), (Part -5), 105–109 (2015)
Chakraborty, A., Rahaman, H.: Implementation of combinational circuits via material implication using memristors. In: IEEE International Conference on Distributed Computing, VLSI, Electrical Circuits and Robotics (DISCOVER-2016/IEEE) (2016) https://doi.org/10.1109/discover.2016.7806227
Alamgir, Z., Beckmann, K., Cady, N., Velasquez, A., Jha, S.K.: Flow-based computing on nanoscale crossbars: design and implementation of full adders. In: IEEE International Symposium on Circuits and Systems (ISCAS) (2016)
Rahaman, H., Das, D.K., Bhattacharya, B.B.: Implementing symmetric functions with hierarchical modules for stuck-at and path-delay fault testability. J. Electron. Test. 22(2), 125–142 (2006)
Lauradoux C., Videau, M.: Matriochka symmetric Boolean functions. IEEE ISIT, pp. 1631–1635 (2008)
Maslov, D.: Efficient reversible and quantum implementations of symmetric Boolean functions.Circuits, Devices and Systems. IEEE Proc. 153(5), 467–472 (2006)
Rahaman, H., Sikdar, B.K., Das, D.K.: Synthesis of symmetric boolean functions using quantum cellular automata. In: International Conference on Design and Test of Integrated Systems in Nanoscale Technology (DTIS 06), pp. 119–124. Tunis, Tunisia
Bhattacharjee, P.K.: Use of Symmetric Functions Designed by QCA Gates for Next Generation IC. Int. J. Comput. Theory Eng. 2, 1793–8201 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Basu, S., Kule, M. (2020). On the Synthesis of Unate Symmetric Function Using Memristor-Based Nano-Crossbar Circuit. In: Das, A., Nayak, J., Naik, B., Pati, S., Pelusi, D. (eds) Computational Intelligence in Pattern Recognition. Advances in Intelligent Systems and Computing, vol 999. Springer, Singapore. https://doi.org/10.1007/978-981-13-9042-5_1
Download citation
DOI: https://doi.org/10.1007/978-981-13-9042-5_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9041-8
Online ISBN: 978-981-13-9042-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)