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IEEE Transactions on Applied Superconductivity

A DC-powered Josephson logic family that uses hybrid unlatching flip-flop logic elements (Huffles)

Hiroaki HASEGAWA, Hideyuki Nagaishi, S. Kominami, Hirotaka Yamada, T. Nishino

Published Jan 1, 1995• 6 citations
Publisher

Abstract

This paper describes the development of a dc-powered Josephson logic family that uses hybrid unlatching flip-flop logic elements (Huffles). The Huffle circuit used in this study is modified by adding a parallel resistor to the original Hebard-type Huffle circuit. Analysis of the circuit's operation shows that the undesirable hung-up phenomena are prevented by this modification. Based on the result of the analysis, the circuit's parameters are derived and a typical operating margin of /spl plusmn/26% is obtained. Besides AND/OR operations using a threshold logic operation, two-input exclusive OR (XOR), two-input multiplexor (MUX), and three-input majority (MAJ) operations are realized using a Huffle gate in which 2-Josephson-interferometers (2JI) in the standard Huffle gate are replaced by stacked-2JI's. Thus, a Huffle logic family, formed from NOT, AND, OR, XOR, MUX, MAJ, and flip-flop (FF), are constructed. By using this Huffle logic family, a 6-b arithmetic logic operating unit (ALU), a 6-b analog-to-digital converter (ADC), and a 6-b gray-to-binary converter (GBC) have been successfully operated. During high-speed testing, a 1-b comparator was operated up to an input bandwidth of 6 GHz.

DOI
10.1109/77.482141

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This paper describes the development of a dc-powered Josephson logic family that uses hybrid unlatching flip-flop logic elements (Huffles). The Huffle circuit used in this study is modified by adding a parallel resistor to the original Hebard-type Huffle circuit. Analysis of the circuit's operation shows that the undesirable hung-up phenomena are prevented by this modification. Based on the result of the analysis, the circuit's parameters are derived and a typical operating margin of /spl plusmn/26% is obtained. Besides AND/OR operations using a threshold logic operation, two-input exclusive OR (XOR), two-input multiplexor (MUX), and three-input majority (MAJ) operations are realized using a Huffle gate in which 2-Josephson-interferometers (2JI) in the standard Huffle gate are replaced by stacked-2JI's. Thus, a Huffle logic family, formed from NOT, AND, OR, XOR, MUX, MAJ, and flip-flop (FF), are constructed. By using this Huffle logic family, a 6-b arithmetic logic operating unit (ALU), a 6-b analog-to-digital converter (ADC), and a 6-b gray-to-binary converter (GBC) have been successfully operated. During high-speed testing, a 1-b comparator was operated up to an input bandwidth of 6 GHz.
Abstract DC‐powered Josephson logic gates have the advan tage of being free from operation error due to crosstalk from power current in contrast to ordinary ac‐powered Josephson logic gates. One of these, the HUFFLE (hybrid unlatching flip‐flop logic element) gate using stacked Josephson interferometers (JI) can execute complicated logic functions by itself. Therefore, high‐Speed operation of logic circuits using HUFFLE gates may be expected because the number of logic stages in the circuits is reduced. to investigate the improvement in circuit per formance by using HUFFLE gates with the stacked structure, the authors have fabricated a 6‐bit arithmetic logic unit (ALU) and tested its operation. Two new logic gales, exclusive OR and majority, newly developed using the stacked structure have been developed. the ALU which performs the four functions, AND, OR, exclusive OR, and ADD, is realized with seven logic stages. Ac cordingly, reduction in the number of logic stages and execution time of the ALU by use of the stacked HUF FLE gate family is confirmed.
We report on a voltage-state logic family based on shunted Josephson junctions and on the Rapid Single Flux Quantum (RSFQ) concept. Storing information in a voltage-state form makes this Multi-Flux-Quantum Logic (MFQL) easier to match to complementary metal-oxide semiconductor (CMOS) circuits. The switching of MFQL element between the voltage and zero-voltage states takes a minimum of two SFQ pulses, and the switching time of this logic is comparable to that of RSFQ logic. The key logic element is an inverter in the form of an asymmetric interferometer, and the underlying idea is to use a separate superconducting wire to supply a standard dc output voltage for the elements. The asymmetric interferometer, directly coupled to the other elements, is actually a Josephson junction based three-terminal device or transistor. Elements such as NOT, OR, NOR, XOR, XNOR, a toggle flip-flop, and an RS trigger have been simulated, and show margins better than /spl plusmn/24%. The performance of this logic with current circuit fabrication technologies is also discussed.
This paper presents the progress we have made on our design, fabrication, and testing of a fully parallel superconducting analog-to-digital converter (ADC) with multi-GHz clock frequencies and input bandwidth. To our best knowledge, this converter is the first flash-type analog-to-digital converter ever reported in Josephson technology that fully integrates a quantizer and a thermometer-to-binary encoder to achieve binary outputs. In this design, the quantizer consists of 2(superscript N-1 comparators, each of which is realized using a hysteretic one- junction sampling SQUID driving a two-junction readout SQUID. A new logic family has been designed based on the same comparator building block and has been used to implement the thermometer-to- binary encoder. Taking advantage of the fact that the encoder's input is thermometer-coded, we have designed three-input and four-input quasi-XOR gates with only three NAND gates and therefore reduced significantly the total gate count. Functionalities of all the sub-circuits have been verified experimentally at clock frequencies up to 3 GHz, which is limited by our currently available testing equipment.
We present the experimental implementation of an RS flip-flop (RS-FF) composed of dc-biased coupled-SQUID (C-SQUID) gates. The C-SQUID gate is a combination of a single-junction SQUID and a double-junction SQUID. This gate utilizes nonhysteretic Josephson junctions and it is operated in nonlatching mode with dc-biasing. Several logical functions are able to be realized with a C-SQUID gate by adjusting the input bias and the input signal levels. The speed performance of the gate is evaluated by simulation for ring oscillators, and the minimum switching delay of 6.5 ps/stage is obtained under Josephson critical current density of 10 kA/cm/sup 2/. We have fabricated the RS-FF composed of two C-SQUID NOR gates. The circuit is integrated using a Nb/AlO/sub x//Nb junction technology and its operation is demonstrated experimentally.
A fast Josephson circuit using a threshold logic is developed for application to a multiplier and a binary counter. The former is a typical combinational circuit and the latter is a typical sequential circuit. The junction and barrier materials used were Nb-AlO/SUB X/-Nb. An optimized asymmetric two-junction interferometer maximized the operating margin of the threshold gate. A speed-up junction was introduced to decrease the switching delay without sacrificing the operating margin. A dumping resistor, which was inserted parallel to the input signal line of the threshold gate between its two terminals, decreased the reflection of the input signal caused by the gate inductance, thereby ensuring the margin and speed. To demonstrate the high-speed possibility of the Josephson threshold logic, a high-speed experiment for the circuits was performed. The multiplier demonstrated 210-ps operation.
A novel structure of high-speed Josephson logic circuits is proposed. Josephson logic gates have latching characteristics and can hold data as long as bias currents are supplied. Through effective use of these latching characteristics, logic circuits can be constructed with wide operating margins. Dual power supplies, properly phased, separately drive logic circuits divided into two groups. Logic signals are transferred from one logic group to the other or vice versa, and one group is reset into a zero voltage state when the other group is active for logic operation. For combinational circuits, the basic configuration of an astable flip-flop and a delay circuit are presented to prevent the logic circuit from `racing'. As an example of sequential circuits, a bistable flip-flop to store data is constructed without any superconducting loop.