There are numerous approaches to implementing logic with memristors. The most popularized approach is the IMPLY operation, most commonly known from HP Labs' groundbreaking study. However, since this study, numerous other approaches have been proposed, which offer differing properties and trade-offs. Some of these approaches include memristors-as-drivers (MAD) gates, hybridCMOS gates, MAGIC gates, threshold gates, Zhang, and others. This chapter will explore two of these approaches in detail: the IMPLY and MAD operations because they have the widest applicability and the most research in their use. The remaining approaches will be discussed briefly for completion.

Chapter Contents:

• 2.1 IMPLY gates
• 2.1.1 IMPLY Boolean logic
• 2.1.2 Real implementation
• 2.2 MAD gates
• 2.2.1 MAD metrics, pros, and cons
• 2.2.2 Implementation in a crossbar
• 2.2.3 Gate adaptation
• 2.2.4 Crossbar adaptation
• 2.2.5 Boolean operation and threshold gate selection
• 2.3 N–N memristor gates
• 2.4 Hybrid-CMOS gates
• 2.5 Threshold gates
• 2.5.1 Threshold gates implemented with GOTO pairs
• 2.5.2 Threshold gates implemented with CSTG gates
• 2.6 MAGiC gates

Inspec keywords: CMOS logic circuits; logic gates; memristors

Other keywords: HP Labs; hybrid CMOS gate; threshold gate; MAGIC gate; memristor-as-driver gate; IMPLY operation; memristor logic gate

Subjects: Logic circuits; Resistors; CMOS integrated circuits