Synchronous Logic Circuits: Modeling and Optimization

This lecture covers synchronous logic circuits, including the interconnection of combinational logic gates and synchronous delay elements. It explains modeling techniques for hardware languages, state-based models, and structural models. The instructor discusses state minimization, sequential logic optimization, and formal finite-state machine models. The lecture delves into the optimization of completely-specified and incompletely-specified finite-state machines, emphasizing compatibility, implications, and prime compatibility classes. Examples and methods for state encoding are provided, highlighting the importance of optimizing representations for area reduction. The lecture concludes with a summary of finite-state machine optimization, noting the correlation between state minimization, encoding, and area reduction.