Half Adder

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Christian Joachim - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Half-Adder Boolean logic gate with a nano-graphene molecule and graphene nano-electrodes
    Chemical Physics Letters, 2017
    Co-Authors: Saurabh Srivastava, Hiori Kino, Christian Joachim
    Abstract:

    A molecule Boolean 1/2-Adder is designed and the XOR and AND truth table calculated at +0.1 V using 4 graphene electrodes. It functions with level repulsion and destructive interferences effects using 4 molecule electronic states in a quantum Hamiltonian computing approach (QHC) with the abrupt change of the molecular orbital weight of those 4 calculating states as a function of the logical input configuration. The logical inputs enter rotating the two nitro groups of the central board. With QHC, a complex Boolean digital function can be implemented employing the same graphene material for interconnects and the molecule calculating parts.

  • The mathematics of a quantum Hamiltonian computing Half Adder Boolean logic gate
    Nanotechnology, 2015
    Co-Authors: G. Dridi, M. Hliwa, Raymond Julien, Christian Joachim
    Abstract:

    The mathematics behind the quantum Hamiltonian computing (QHC) approach of designing Boolean logic gates with a quantum system are given. Using the quantum eigenvalue repulsion effect, the QHC AND, NAND, OR, NOR, XOR, and NXOR Hamiltonian Boolean matrices are constructed. This is applied to the construction of a QHC Half Adder Hamiltonian matrix requiring only six quantum states to fullfil a Half Boolean logical truth table. The QHC design rules open a nano-architectronic way of constructing Boolean logic gates inside a single molecule or atom by atom at the surface of a passivated semi-conductor.

Martin Fussenegger - One of the best experts on this subject based on the ideXlab platform.

  • a crispr cas9 based central processing unit to program complex logic computation in human cells
    Proceedings of the National Academy of Sciences of the United States of America, 2019
    Co-Authors: Hyojin Kim, Daniel Bojar, Martin Fussenegger
    Abstract:

    Controlling gene expression with sophisticated logic gates has been and remains one of the central aims of synthetic biology. However, conventional implementations of biocomputers use central processing units (CPUs) assembled from multiple protein-based gene switches, limiting the programming flexibility and complexity that can be achieved within single cells. Here, we introduce a CRISPR/Cas9-based core processor that enables different sets of user-defined guide RNA inputs to program a single transcriptional regulator (dCas9-KRAB) to perform a wide range of bitwise computations, from simple Boolean logic gates to arithmetic operations such as the Half Adder. Furthermore, we built a dual-core CPU combining two orthogonal core processors in a single cell. In principle, human cells integrating multiple orthogonal CRISPR/Cas9-based core processors could offer enormous computational capacity.

  • A CRISPR/Cas9-based central processing unit to program complex logic computation in human cells
    Proceedings of the National Academy of Sciences of the United States of America, 2019
    Co-Authors: Hyojin Kim, Daniel Bojar, Martin Fussenegger
    Abstract:

    Controlling gene expression with sophisticated logic gates has been and remains one of the central aims of synthetic biology. However, conventional implementations of biocomputers use central processing units (CPUs) assembled from multiple protein-based gene switches, limiting the programming flexibility and complexity that can be achieved within single cells. Here, we introduce a CRISPR/Cas9-based core processor that enables different sets of user-defined guide RNA inputs to program a single transcriptional regulator (dCas9-KRAB) to perform a wide range of bitwise computations, from simple Boolean logic gates to arithmetic operations such as the Half Adder. Furthermore, we built a dual-core CPU combining two orthogonal core processors in a single cell. In principle, human cells integrating multiple orthogonal CRISPR/Cas9-based core processors could offer enormous computational capacity.

Tanay Chattopadhyay - One of the best experts on this subject based on the ideXlab platform.

  • all optical Half Adder Half subtractor using terahertz optical asymmetric demultiplexer
    Applied Optics, 2014
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay, Arunava Bhattacharyya, Saikat Basak
    Abstract:

    Logic gates are the fundamental building blocks of digital systems. Using these logic gates, one can perform different logic and arithmetic operations. All-optical logic and arithmetic operations are very much expected in high-speed communication systems. In this paper, we present a model to perform addition/subtraction operations on two binary digits based on a terahertz optical asymmetric demultiplexer (TOAD). Using four TOAD-based switches, we have designed a Half-Adder and Half-subtractor circuit. The approach to designing all-optical arithmetic circuits not only enhances the computational speed but is also capable of synthesizing light as inputs to produce the desired outputs. The main advantages of this circuit are that synchronization between inputs is eliminated and simultaneous addition and subtraction operations are realized at the outputs. This circuit is designed theoretically and verified through numerical simulations. The impact of the control pulse energy, gain recovery time, and the input data pulse width on the extinction ratio, contrast ratio, amplitude modulation, Q-factor, and relative opening of the pseudo-eye diagram of the switching outcome is explored and assessed by means of numerical simulations.

  • designing of optimized all optical Half Adder circuit using single quantum dot semiconductor optical amplifier assisted mach zehnder interferometer
    Journal of Lightwave Technology, 2013
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay
    Abstract:

    A new and novel scheme for a high speed all-optical Half Adder based on single Quantum-dot semiconductor optical amplifier (QD-SOA) assisted Mach-Zehnder interferometer (MZI) is theoretically investigated and discussed. In this proposed scheme, pair of input data streams are simultaneously drive the switch to produce sum and carry. In this new design, only single switch can be utilized to design Half Adder circuit and no additional input beam is required other than two input signals. This design is simpler, smaller and compact than our previously proposed design . The impact of the peak data power as well as of the QD-SOAs current density and maximum modal gain on the ER, Q factor with current densities and electron relaxation times etc are explored and assessed by means of numerical simulations.

  • ultrafast all optical Half Adder using quantum dot semiconductor optical amplifier based mach zehnder interferometer
    Journal of Lightwave Technology, 2012
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay, A Bhattachryya, Jitendra Nath Roy
    Abstract:

    Interferometric devices have drawn a great interest in all-optical signal processing for their high-speed photonic activity. Quantum-dot semiconductor optical amplifier (QD-SOA)-based gate has added a new momentum in this field to perform all-optical logic and algebraic operations. In this paper, a new and alternative scheme for all-optical Half Adder using two QD-SOA-based Mach-Zehnder interferometers is theoretically investigated and demonstrated. The proposed scheme is driven by the pair of input data streams for one switch between which the Boolean xor function is to be executed to produce sum-bit. Then the output of the first switch and one of the input data are utilized to drive the second switch to produce carry-bit. The impact of the peak data power as well as of the QD-SOAs current density, small signal gain, and QD-SOAs length on the ER and Q-factor of the switching outcome are explored and assessed by means of numerical simulation. The operation of the system is demonstrated with 160 Gbit/s.

Dilip Kumar Gayen - One of the best experts on this subject based on the ideXlab platform.

  • Optical Arithmetic Operation Using Optical Demultiplexer
    2016
    Co-Authors: Dilip Kumar Gayen
    Abstract:

    Abstract Using Terahertz Optical Asymmetric Demultiplexer (TOAD) based switch we have designed all-optical parallel Half Adder and full Adder. The approach to design this all-optical arithmetic circuit not only enhances the computational speed but also is capable of synthesizing light as input to produce desire output. The main advantage of parallel circuit is synchronization of input which is not required. All the circuits are designed theoretically and verified through numerical simulations

  • all optical Half Adder Half subtractor using terahertz optical asymmetric demultiplexer
    Applied Optics, 2014
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay, Arunava Bhattacharyya, Saikat Basak
    Abstract:

    Logic gates are the fundamental building blocks of digital systems. Using these logic gates, one can perform different logic and arithmetic operations. All-optical logic and arithmetic operations are very much expected in high-speed communication systems. In this paper, we present a model to perform addition/subtraction operations on two binary digits based on a terahertz optical asymmetric demultiplexer (TOAD). Using four TOAD-based switches, we have designed a Half-Adder and Half-subtractor circuit. The approach to designing all-optical arithmetic circuits not only enhances the computational speed but is also capable of synthesizing light as inputs to produce the desired outputs. The main advantages of this circuit are that synchronization between inputs is eliminated and simultaneous addition and subtraction operations are realized at the outputs. This circuit is designed theoretically and verified through numerical simulations. The impact of the control pulse energy, gain recovery time, and the input data pulse width on the extinction ratio, contrast ratio, amplitude modulation, Q-factor, and relative opening of the pseudo-eye diagram of the switching outcome is explored and assessed by means of numerical simulations.

  • designing of optimized all optical Half Adder circuit using single quantum dot semiconductor optical amplifier assisted mach zehnder interferometer
    Journal of Lightwave Technology, 2013
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay
    Abstract:

    A new and novel scheme for a high speed all-optical Half Adder based on single Quantum-dot semiconductor optical amplifier (QD-SOA) assisted Mach-Zehnder interferometer (MZI) is theoretically investigated and discussed. In this proposed scheme, pair of input data streams are simultaneously drive the switch to produce sum and carry. In this new design, only single switch can be utilized to design Half Adder circuit and no additional input beam is required other than two input signals. This design is simpler, smaller and compact than our previously proposed design . The impact of the peak data power as well as of the QD-SOAs current density and maximum modal gain on the ER, Q factor with current densities and electron relaxation times etc are explored and assessed by means of numerical simulations.

  • ultrafast all optical Half Adder using quantum dot semiconductor optical amplifier based mach zehnder interferometer
    Journal of Lightwave Technology, 2012
    Co-Authors: Dilip Kumar Gayen, Tanay Chattopadhyay, A Bhattachryya, Jitendra Nath Roy
    Abstract:

    Interferometric devices have drawn a great interest in all-optical signal processing for their high-speed photonic activity. Quantum-dot semiconductor optical amplifier (QD-SOA)-based gate has added a new momentum in this field to perform all-optical logic and algebraic operations. In this paper, a new and alternative scheme for all-optical Half Adder using two QD-SOA-based Mach-Zehnder interferometers is theoretically investigated and demonstrated. The proposed scheme is driven by the pair of input data streams for one switch between which the Boolean xor function is to be executed to produce sum-bit. Then the output of the first switch and one of the input data are utilized to drive the second switch to produce carry-bit. The impact of the peak data power as well as of the QD-SOAs current density, small signal gain, and QD-SOAs length on the ER and Q-factor of the switching outcome are explored and assessed by means of numerical simulation. The operation of the system is demonstrated with 160 Gbit/s.

Erkang Wang - One of the best experts on this subject based on the ideXlab platform.

  • implementation of arithmetic functions on a simple and universal molecular beacon platform
    Advanced Science, 2015
    Co-Authors: Shaojun Guo, Qinghui Liu, Lidong Qin, Shaojun Dong, Yaqing Liu, Erkang Wang
    Abstract:

    Diverse advanced logic circuits are fabricated to implement arithmetic functions based on a simple and single molecular beacon platform, including Half Adder, Half subtractor, full Adder, full subtractor, and a digital comparator. Dual fluorescence outputs are generated in parallel and a constant threshold value is set to build all the logic circuits. The developed enzyme-free DNA system provides a novel prototype for the design of high-level molecular logic circuits on a biomolecular platform.

  • integration of graphene oxide and dna as a universal platform for multiple arithmetic logic units
    Chemical Communications, 2014
    Co-Authors: Kun Wang, Yaqing Liu, Jiangtao Ren, Daoqing Fan, Erkang Wang
    Abstract:

    By a combination of graphene oxide and DNA, a universal platform was developed for integration of multiple logic gates to implement both Half Adder and Half subtractor functions. A constant undefined threshold range between high and low fluorescence output signals was set for all the developed logic gates.

  • implementation of Half Adder and Half subtractor with a simple and universal dna based platform
    Npg Asia Materials, 2013
    Co-Authors: Shanling Xu, Yuqing Miao, Hailong Li, Erkang Wang
    Abstract:

    As a powerful material, DNA presents great advantages in the fabrication of molecular devices and higher-order logic circuits. Herein, by making use of the hybridization and displacement of DNA strands, as well as the formation and dissociation of a G-quadruplex, a simple and universal DNA-based platform is developed to implement Half-Adder and Half-subtractor arithmetic processes. The novel feature of the designed system is that the two required logic gates for the Half Adder (an AND and an XOR logic gate integrated in parallel) or the Half subtractor (an XOR and an INHIBIT logic gate integrated in parallel) are achieved simultaneously with the same platform and are triggered by the same set of inputs. Another novel feature is that the developed Half Adder and Half subtractor are operated by the same DNA platform in an enzyme-free system and share a constant threshold setpoint. These investigations provide a new route towards prototypical DNA-based arithmetic operations and promote the development of advanced logic circuits.