Minimization of incompletely specified regular ternary logic functions and its application to fuzzy switching functions

Araki, Tomoyuki; Tatsumi, Hisayuki; Mukaidono, Masao; Yamamoto, Fujio

doi:10.1109/ismvl.1998.679472

Cited by 11 publications

(4 citation statements)

References 6 publications

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“…In comparison to previously reported works (39,40), the ternary logic gates presented here exploit modular designs, which facilitates the extension of basic gates for complex operations. In addition, compared with the binary logic operation, the ternary logic operation can transmit a larger amount of information and exploit a reduced number of basic gates to complete the same logic operation, showing advantages for applications in fuzzy logic (71) and arithmetic and signal processing (68).…”

Section: Mechanical Ternary Logic Gatesmentioning

confidence: 99%

“…Compared with binary logic gates, much more information can be processed through ternary/multivalued logic gates, which can effectively reduce the design complexity and speed up the serial arithmetic operations (68)(69)(70). The ternary logic gates also have unique applications in fuzzy logic circuits (71), asynchronous circuits (72), etc. Furthermore, the elastic tensile/compressive asymmetry of kirigami microstructures and independently controlled tristability of hierarchical metamaterials enable the realization of amplitude modulators capable of filtering low-frequency vibration along different in-plane directions with desired functions, which can be used in noise suppression (73) and nonlinear communication (74).…”

Section: Introductionmentioning

confidence: 99%

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Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation

Zhang

Fang

et al. 2021

Sci. Adv.

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Multistable mechanical metamaterials are artificial materials whose microarchitectures offer more than two different stable configurations. Existing multistable mechanical metamaterials mainly rely on origami/kirigami-inspired designs, snap-through instability, and microstructured soft mechanisms, with mostly bistable fundamental unit cells. Scalable, tristable structural elements that can be built up to form mechanical metamaterials with an extremely large number of programmable stable configurations remains illusive. Here, we harness the elastic tensile/compressive asymmetry of kirigami microstructures to design a class of scalable X-shaped tristable structures. Using these structure as building block elements, hierarchical mechanical metamaterials with one-dimensional (1D) cylindrical geometries, 2D square lattices, and 3D cubic/octahedral lattices are designed and demonstrated, with capabilities of torsional multistability or independent controlled multidirectional multistability. The number of stable states increases exponentially with the cell number of mechanical metamaterials. The versatile multistability and structural diversity allow demonstrative applications in mechanical ternary logic operators and amplitude modulators with unusual functionalities.

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Section: Mechanical Ternary Logic Gatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation

Zhang

Fang

et al. 2021

Sci. Adv.

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“…Multiple-valued logic (MVL) replaces the classical Boolean characterization of variables with either finitely or infinitely many values such as ternary logic [17] or fuzzy logic [18]. Ternary logic (or three-valued logic) has attracted considerable interest due to its potential advantages over binary logic for designing digital systems.…”

Section: Ternary Logic Gate Design Using Cntfetmentioning

confidence: 99%

Integrated Circuit Design Based on Carbon Nanotube Field Effect Transistor

Kim¹

2011

Transactions on Electrical and Electronic Materials

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As complementary metal-oxide semiconductor (CMOS) continues to scale down deeper into the nanoscale, various device non-idealities cause the I-V characteristics to be substantially different from well-tempered metal-oxide semiconductor field-effect transistors (MOSFETs). The last few years witnessed a dramatic increase in nanotechnology research, especially the nanoelectronics. These technologies vary in their maturity. Carbon nanotubes (CNTs) are at the forefront of these new materials because of the unique mechanical and electronic properties. CNTFET is the most promising technology to extend or complement traditional silicon technology due to three reasons: first, the operation principle and the device structure are similar to CMOS devices and it is possible to reuse the established CMOS design infrastructure. Second, it is also possible to reuse CMOS fabrication process. And the most important reason is that CNTFET has the best experimentally demonstrated device current carrying ability to date. This paper discusses and reviewsthe feasibility of the CNTFET's application at this point of time in integrated circuits design by investigating different types of circuit blocks considering the advantages that the CNTFETs offer.

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“…Multiple-valued logic (MVL) replaces the classical Boolean characterization of variables with either finitely or infinitely many values such as ternary logic [1] or fuzzy logic [2]. Ternary logic (or three-valued logic) has attracted considerable interest due to its potential advantages over binary logic for designing digital systems.…”

Section: Introductionmentioning

confidence: 99%

Design of ternary D latch using carbon nanotube field effect transistors

Jimmy

Narkhede²

2015

2015 2nd International Conference on Electronics and Communication Systems (ICECS)

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This paper presents a novel design of ternary Dlatch using carbon nanotube field effect transistors. Ternary logic is a promising alternative to the conventional binary logic design technique, since it is possible to accomplish simplicity and energy efficiency in modern digital design due to the reduced circuit overhead such as interconnects and chip area. In this paper novel design of D-latch for ternary logic based on CNTFET, using only basic gates STI, NTI, NOR, NAND and transmission gate, is proposed. Keywords-Carbon nanotube (CNT) FET (CNTFET), Ternary lgic, latch design, Multiple Valued Logic(MVL) design, STI, NTI, Transmission gate.I.

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Minimization of incompletely specified regular ternary logic functions and its application to fuzzy switching functions

Cited by 11 publications

References 6 publications

Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation

Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation

Integrated Circuit Design Based on Carbon Nanotube Field Effect Transistor

Design of ternary D latch using carbon nanotube field effect transistors

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