Abstract
Quantum-dot is the result of elastic relaxation which has a straight relationship with the optical and electronic aspects of the quantum-dot-based devices. In nanotechnologies, Quantum-dot Cellular Automata (QCA) is a perfect transistor-less computation method where it tries to create general computation at the nanoscale with better switching frequency and enhanced scale integration to overcome the scaling shortfalls of CMOS technology. In this technology, binary information is represented based on the distribution of electron configuration in chemical molecules. Also, the comparator is the essential component in digital circuits, which takes two binary numbers as input and implements their resemblance. In this paper, a 1-bit comparator architecture in an optimized and efficient manner is suggested to bring a new phase of comparator circuit based on QCA, and then a novel 2-bit comparator structure is offered. The simulation and functionality of proposed comparators have been examined by the QCAdesigner tool, and comparison with formerly designs shows a high degree of compactness and consistent performance of proposed designs. Proposed 1-bit and 2-bit QCA comparators exhibit a delay of 0.75 and 2.75 clock cycle, occupy an active area of 0.04 and 0.19 μm2, and use 31 and 125 QCA cells, respectively.
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Pavlović, I. R., Pavlović, R., Janevski, G., Despenić, N. and Pajković, V.: "Dynamic Behavior of Two Elastically Connected NANOBEAMS under a White Noise Process," Facta Universitatis, Series: Mechanical Engineering (2020)
Singh, G., Lamichhane, Y., Bhui, A.S., Sidhu, S.S., Bains, P.S., Mukhiya, P.: Surface morphology and MICROHARDNESS behavior of 316L in hap-PMEDM. Facta Universitatis, Series: Mechanical Engineering. 17(3), 445–454 (2019)
Sherizadeh, R., Navimipour, N.J.: Designing a 2-to-4 decoder on nanoscale based on quantum-dot cellular automata for energy dissipation improving. Optik. 158, 477–489 (2018)
Fam, S.R., Navimipour, N.J.: Design of a loop-based random access memory based on the nanoscale quantum dot cellular automata. Photon Netw. Commun. 37(1), 120–130 (2019)
Roohi, A., Khademolhosseini, H.: Quantum-dot cellular automata: computing in nanoscale. Reviews in Theoretical Science. 2(1), 46–76 (2014)
Mosleh, M.: A novel full adder/subtractor in quantum-dot cellular automata. Int. J. Theor. Phys. 58(1), 221–246 (2019)
Moharrami, E., Navimipour, N.J.: Designing nanoscale counter using reversible gate based on quantum-dot cellular automata. Int. J. Theor. Phys. 57(4), 1060–1081 (2018)
Ahmad, F., John, M.U., Khosroshahy, M.B., Sarmadi, S., Bhat, G.M., Peer, Z.A., Wani, S.J.: Performance evaluation of an ultra-high speed adder based on quantum-dot cellular automata. Int. J. Inf. Technol. 11(3), 467–478 (2019)
Rezaei, A.: New efficient designs of reversible logic gates and circuits in the QCA technology. Engineering Review: Međunarodni časopis namijenjen publiciranju originalnih istraživanja s aspekta analize konstrukcija, materijala i novih tehnologija u području strojarstva, brodogradnje, temeljnih tehničkih znanosti, elektrotehnike, računarstva i građevinarstva. 39(1), 47–59 (2019)
Mukherjee, C., et al.: "Implementation of Toffoli Gate Using LTEx Module of Quantum-Dot Cellular Automata," in Contemporary Advances in Innovative and Applicable Information Technology: Springer, pp. 57–65 (2019)
Mohaghegh, S.M., Sabbaghi-Nadooshan, R., Mohammadi, M.: Designing ternary quantum-dot cellular automata logic circuits based upon an alternative model. Comput. Electr. Eng. 71, 43–59 (2018)
Torres, F. S., Wille, R., Niemann, P., and Drechsler, R.: "An energy-aware model for the logic synthesis of quantum-dot cellular automata," IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. (2018)
Chaves, J.F., Ribeiro, M.A., Silva, L.M., de Assis, L.M., Torres, M.S., Neto, O.P.V.: Energy efficient QCA circuits design: simulating and analyzing partially reversible pipelines. J. Comput. Electron. 17(1), 479–489 (2018)
Arani, I.E., Rezai, A.: Novel circuit design of serial–parallel multiplier in quantum-dot cellular automata technology. J. Comput. Electron. 17(4), 1771–1779 (2018)
Gadim, M.R., Navimipour, N.J.: A new three-level fault tolerance arithmetic and logic unit based on quantum dot cellular automata. Microsyst. Technol. 24(2), 1295–1305 (2018)
Gadim, M.R., Navimipour, N.J.: Quantum-dot cellular automata in designing the arithmetic and logic unit: systematic literature review, classification and current trends. Journal of Circuits, Systems and Computers. 27(10), 1830005 (2018)
Divshali, M.N., Rezai, A., Hamidpour, S.S.F.: Design of Novel Coplanar Counter Circuit in quantum dot cellular automata technology. Int. J. Theor. Phys. 1–15 (2019)
Sangsefidi, M., Abedi, D., Yoosefi, E., Karimpour, M.: High speed and low cost synchronous counter design in quantum-dot cellular automata. Microelectron. J. 73, 1–11 (2018)
Mukhopadhyay, D., Dutta, P.: Quantum cellular automata based novel unit 2: 1 multiplexer. Int. J. Comput. Appl. 43(2), 22–25 (2012)
Cocorullo, G., Corsonello, P., Frustaci, F., Perri, S.: Design of efficient QCA multiplexers. Int. J. Circuit Theory Appl. 44(3), 602–615 (2016)
Lu, L., Liu, W., O'Neill, M., Swartzlander, E.E.: QCA systolic array design. IEEE Trans. Comput. 62(3), 548–560 (2011)
Abedi, D. and Jaberipur, G.: "Coplanar QCA serial adder and multiplier via clock-zone based crossover," in 2015 18th CSI International Symposium on Computer Architecture and Digital Systems (CADS): IEEE, pp. 1–4 (2015)
Divshali, M.N., Rezai, A., Karimi, A.: Towards multilayer QCA SISO shift register based on efficient D-FF circuits. Int. J. Theor. Phys. 57(11), 3326–3339 (2018)
Padmanabhan, A., Miranda, A. V., and Srinivas, T.: "An efficient design of 4-bit serial input parallel output/serial output shift register in quantum-dot cellular automata," in 2016 3rd International Conference on Computing for Sustainable Global Development (INDIACom): IEEE, pp. 2736–2738 (2016)
Roshan, M.G., Gholami, M.: 4-bit serial shift register with reset ability and 4-bit LFSR in QCA technology using minimum number of cells and delay. Comput. Electr. Eng. 78, 449–462 (2019)
Afrooz, S., Navimipour, N.J.: Fault-tolerant Design of a Shift Register at the nanoscale based on quantum-dot cellular automata. Int. J. Theor. Phys. 57(9), 2598–2614 (2018)
Roshany, H.R., Rezai, A.: Novel efficient circuit design for multilayer QCA RCA. Int. J. Theor. Phys. 58(6), 1745–1757 (2019)
Balali, M., Rezai, A., Balali, H., Rabiei, F., Emadi, S.: Towards coplanar quantum-dot cellular automata adders based on efficient three-input XOR gate. Results in physics. 7, 1389–1395 (2017)
Roohi, A., DeMara, R.F., Khoshavi, N.: Design and evaluation of an ultra-area-efficient fault-tolerant QCA full adder. Microelectron. J. 46(6), 531–542 (2015)
Blair, E.: Electric-field inputs for molecular quantum-dot cellular automata circuits. IEEE Trans. Nanotechnol. 18, 453–460 (2019)
Gadim, M.R., Navimipour, N.J.: A new three-level fault tolerance arithmetic and logic unit based on quantum dot cellular automata. Microsyst. Technol. 1–11 (2017)
Hayati, M., Rezaei, A.: Design of a new Optimized Universal Logic Gate for quantum-dot cellular automata. IETE J. Res. 1–7 (2019)
Heikalabad, S.R., Asfestani, M.N., Hosseinzadeh, M.: A full adder structure without cross-wiring in quantum-dot cellular automata with energy dissipation analysis. J. Supercomput. 74(5), 1994–2005 (2018)
Ajitha, D., Ramanaiah, K. V., and Sumalatha, V.: "A novel design of cascading serial bit-stream magnitude comparator using qca," in 2014 International Conference on Advances in Electronics Computers and Communications: IEEE, pp. 1–6 (2014)
Ke-ming, Q. and Yin-shui, X.: "Quantum-dots cellular automata comparator," in 2007 7th International Conference on ASIC: IEEE, pp. 1297–1300 (2007)
Mokhtarii, R. and Rezai, A., "Investigation and Design of Novel Comparator in quantum-dot cellular automata technology," Journal of Nano-and Electronic Physics, vol. 10, no. 5, (2018)
Das, J.C., De, D.: Reversible comparator design using quantum dot-cellular automata. IETE J. Res. 62(3), 323–330 (2016)
Shiri, A., Rezai, A., Mahmoodian, H.: Design of efficient coplanar COMPRATOR circuit in QCA technology. Facta Universitatis, Series: Electronics and Energetics. 32(1), 119–128 (2019)
Lampreht, B., et al., "Quantum-dot cellular automata serial comparator," in 2008 11th EUROMICRO Conference on Digital System Design Architectures, Methods and Tools: IEEE, pp. 447–452 (2008)
Roy, S. S., Mukherjee, C., Panda, S., Mukhopadhyay, A. K., and Maji, B., "Layered T comparator design using quantum-dot cellular automata," in 2017 Devices for Integrated Circuit (DevIC): IEEE, pp. 90–94 (2017)
Umira, S., Qadri, R., Bangi, Z., and Banday, M. T.: "A Novel Comparator-A Cryptographic Design in Quantum Dot Cellular Automata," in 2018 International Conference on Sustainable Energy, Electronics, and Computing Systems (SEEMS): IEEE, pp. 1–10 (2018)
Jun-wen, L. and Yin-shui, X.: "A Novel Design of Quantum-Dots Cellular Automata Comparator Using Five-Input Majority Gate," in 2018 14th IEEE International Conference on Solid-State and Integrated Circuit Technology (ICSICT): IEEE, pp. 1–3 (2018)
Deng, F., Xie, G., Zhang, Y., Peng, F., Lv, H.: A novel design and analysis of comparator with XNOR gate for QCA. Microprocess. Microsyst. 55, 131–135 (2017)
Perri, S., Corsonello, P., Cocorullo, G.: Design of efficient binary comparators in quantum-dot cellular automata. IEEE Trans. Nanotechnol. 13(2), 192–202 (2013)
Rashidi, H., Rezai, A., Soltany, S.: High-performance multiplexer architecture for quantum-dot cellular automata. J. Comput. Electron. 15(3), 968–981 (2016)
Walus, K., Dysart, T.J., Jullien, G.A., Budiman, R.A.: QCADesigner: a rapid design and simulation tool for quantum-dot cellular automata. IEEE Trans. Nanotechnol. 3(1), 26–31 (2004)
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National Natural Science Foundation of China Youth Fund Project (No.61701211).
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Gao, M., Wang, J., Fang, S. et al. A New Nano Design for Implementation of a Digital Comparator Based on Quantum-Dot Cellular Automata. Int J Theor Phys 60, 2358–2367 (2021). https://doi.org/10.1007/s10773-020-04499-w
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DOI: https://doi.org/10.1007/s10773-020-04499-w