Multiple-valued logic computation circuits using micro- and nanoelectronic devices

Abstract

Three-tenninal quantum devices with novel characteristics have recently become available. The negative transconductance of the resonant tunneling transistor (RTT) is particularly useful for MVL. In this paper we examine the advantages of these devices for implementing very efficient MVL arithmetic building blocks. Full adders are described for both the PositiveDigit 2,4 redundant number system and the Signed-Digit 4,3 minimum-redundant number system. An outlook on nanoelectronic MVL is also given.

Redundant arithmetic, algorithms and implementations

“…Inferred parameter values are marked with an asterisk. It was necessary to leave some blank entries in the table since, in some cases, it was not possible to infer with con"dence all the parameters for all the designs and, in other cases [43,51], the designs were only described at the functional and operating principle levels and were not demonstrated experimentally. Table 6 displays the three types of single-digit cell implementations.…”

“…Lutz Micheel et al described circuit applications of quantum and heterojunction devices in redundant arithmetic logic [51]. Their work concentrates on three-terminal multiple-peak devices such as resonant-tunneling bipolar transistors (RTBTs) and resonant-tunneling "eld e!ect transistors (RTFETs).…”

“…One of the circuits described in [51] implements positive-digit addition of type PD2,4. This algorithm, illustrated in Fig.…”

Digital circuit applications of resonant tunneling devices

“…A good use of the multistate nature of MRTD transistor logic is in implementing fast adder circuits that use internal multivalued redundant number systems [61], [62]. Such number systems offer a means of adding numbers where there is no delay due to carry ripple regardless of word length.…”

Remote Gate-Controlled Negative Transconductance in Gated MIS Tunnel Diode

“…N EGATIVE transconductance (NT) devices can be used for ultrahigh frequency filters [1], multilevel logics [2], and phase encoder [3] applications. A variety of transistors have been discovered with NT behavior, like resonant-tunneling transistors [4], [5], modulation-doped FETs [6], [7], MOSFETs [8], [9], and tunneling FETs [3], [10].…”