Abstract: A class of complex logic gates are presented that use non-linear polar material. The logic gates include multi-input majority gates. At least one input to an individual multi-input majority gate is a fixed input. Other inputs are driven to non-linear input capacitors on their respective first terminals. The second terminals of the non-linear input capacitors are coupled a summing node, which provides a majority function of the inputs. The summing node is coupled to a CMOS logic. Leakage through the capacitors is configured such that capacitors of a majority gate have substantially equal leakage, and this leakage has a I-V behavior which is symmetric. As such, reset device(s) on the summing node are not used. The non-linear charge response from the non-linear input capacitors results in output voltages close to or at rail-to-rail voltage levels, which reduces the high leakage problem faced from majority gates that use linear input capacitors.

Abstract: A class of complex logic gates are presented that use non-linear polar material. The logic gates include multi-input majority gates. At least one input to an individual multi-input majority gate is a fixed input. Other inputs are driven to non-linear input capacitors on their respective first terminals. The second terminals of the non-linear input capacitors are coupled a summing node, which provides a majority function of the inputs. The summing node is coupled to a CMOS logic. Leakage through the capacitors is configured such that capacitors of a majority gate have substantially equal leakage, and this leakage has a I-V behavior which is symmetric. As such, reset device(s) on the summing node are not used. The non-linear charge response from the non-linear input capacitors results in output voltages close to or at rail-to-rail voltage levels, which reduces the high leakage problem faced from majority gates that use linear input capacitors.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: A multiplier cell is derived from a 1-bit full adder and an AND gate. The 1-bit full adder is derived from majority and/or minority gates. The majority and/or minority gates include non-linear polar material (e.g., ferroelectric or paraelectric material). A reset mechanism is provided to reset the nodes across the non-linear polar material. The multiplier cell is a hybrid of majority and/or minority gates and complementary metal oxide semiconductor (CMOS) based inverters and/or buffers. The adder uses a non-linear polar capacitor to retain charge with fewer transistors than traditional CMOS sequential circuits. The non-linear polar capacitor includes ferroelectric material, paraelectric material, or non-linear dielectric. Input signals are received by respective terminals of capacitors having non-linear polar material. The other terminals of these capacitors are coupled to a node where the majority function takes place for the inputs.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: Asynchronous circuits implemented using threshold gate(s) and/or majority gate(s) (or minority gate(s)) are described. The new class of asynchronous circuits can operate at lower power supply levels (e.g., less than 1 V on advanced technology nodes) because stack of devices between a supply node and ground are significantly reduced compared to traditional asynchronous circuits. The asynchronous circuits here result in area reduction (e.g., 3× reduction compared to traditional asynchronous circuits) and provide higher throughput/mm2 (e.g., 2× higher throughput compared to traditional asynchronous circuits). The threshold gate(s), majority/minority gate(s) can be implemented using capacitive input circuits. The capacitors can have linear dielectric or non-linear polar material as dielectric.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: Asynchronous circuit elements are described. Asynchronous circuit elements include a consensus element (c-element), completion tree, and validity tree. The c-element is implemented using adjustable threshold based multi-input capacitive circuitries. The completion tree comprises a plurality of c-elements organized in a tree formation. The validity tree comprises OR gates followed by c-elements. The multi-input capacitive circuitries include capacitive structures that may comprise linear dielectric, paraelectric dielectric, or ferroelectric dielectric. The capacitors can be planar or non-planar. The capacitors may be stacked vertically to reduce footprint of the various asynchronous circuitries.

Abstract: A computer-aided design (CAD) tool is provided for logic optimization and synthesis. The CAD tool executes a process that involves optimizing power, performance, and area (PPA) of a logic circuit by minimizing a number of CMOS gates, and majority and/or minority gates in the circuit and its depth. The CAD tool implements a methodology of optimizing logic synthesis based on a mix of standard cell libraries (such as AND, OR, NAND, NOR, XOR, Multiplexer, full adder, half adder, etc.) and varying input majority and minority gates (where the number of inputs in the minority and majority gates could vary as odd numbers from 3 and above). The standard cell libraries cells may contain minority and/or majority gates.

Abstract: A low power sequential circuit (e.g., latch) uses a non-linear polar capacitor to retain charge with fewer transistors than traditional CMOS sequential circuits. In one example, a sequential circuit includes pass-gates and inverters, but without a feedback mechanism or memory element. In another example, a sequential uses load capacitors (e.g., capacitors coupled to a storage node and a reference supply). The load capacitors are implemented using ferroelectric material, paraelectric material, or linear dielectric. In one example, a sequential uses minority, majority, or threshold gates with ferroelectric or paraelectric capacitors. In one example, a sequential circuit uses minority, majority, or threshold gates configured as NAND gates.

Abstract: A new class of logic gates are presented that use non-linear polar material. The logic gates include multi-input majority gates. Input signals in the form of digital signals are driven to non-linear input capacitors on their respective first terminals. The second terminals of the non-linear input capacitors are coupled a summing node which provides a majority function of the inputs. In the multi-input majority or minority gates, the non-linear charge response from the non-linear input capacitors results in output voltages close to or at rail-to-rail voltage levels. In some examples, the nodes of the non-linear input capacitors are conditioned once in a while to preserve function of the multi-input majority gates.

Abstract: A class of complex logic gates are presented that use non-linear polar material. The logic gates include multi-input majority gates. At least one input to an individual multi-input majority gate is a fixed input. Other inputs are driven to non-linear input capacitors on their respective first terminals. The second terminals of the non-linear input capacitors are coupled a summing node, which provides a majority function of the inputs. The summing node is coupled to a CMOS logic. Leakage through the capacitors is configured such that capacitors of a majority gate have substantially equal leakage, and this leakage has a I-V behavior which is symmetric. As such, reset device(s) on the summing node are not used. The non-linear charge response from the non-linear input capacitors results in output voltages close to or at rail-to-rail voltage levels, which reduces the high leakage problem faced from majority gates that use linear input capacitors.

Abstract: A class of complex logic gates are presented that use non-linear polar material. The logic gates include multi-input majority gates. At least one input to an individual multi-input majority gate is a fixed input. Other inputs are driven to non-linear input capacitors on their respective first terminals. The second terminals of the non-linear input capacitors are coupled a summing node, which provides a majority function of the inputs. The summing node is coupled to a CMOS logic. Leakage through the capacitors is configured such that capacitors of a majority gate have substantially equal leakage, and this leakage has a I-V behavior which is symmetric. As such, reset device(s) on the summing node are not used. The non-linear charge response from the non-linear input capacitors results in output voltages close to or at rail-to-rail voltage levels, which reduces the high leakage problem faced from majority gates that use linear input capacitors.