The thesis is organized as follows. Chapter 2 reviews the background knowledge on memristive devices and
systems. TiO-based stateful logic gates are studied in Chapter 3. Chapter 4 concentrates on spintronic
stateful logic devices and circuits. A new improved implication logic gate is proposed, analyzed, and
compared to the existing logic gates. Its generalization for large-scale logic application and parallelization for
high performance computing is described in Chapter 5. Chapter 6 describes new memristive sensing schemes
and explains how spintronic memristors can be used for coincident charge- and flux-based sensing.
Finally, Chapter 7 concludes the thesis with a brief summary and an an outlook to possible future
development.