Logic Design: Basic Rules and Shannon's Expansion

This lecture covers the basic rules of logic design, emphasizing the node-value and node-conflict-free rules. It also delves into Shannon's expansion algorithm, demonstrating how a Boolean function can be decomposed with respect to its variables. Examples of complex switching functions and residues of Boolean functions are presented, showcasing the application of these concepts in logic design. The lecture further explores tree networks, including freeform and uniform-tree networks, and introduces the concept of 0/1-tree networks. The pitfalls of Shannon's expansion are discussed, highlighting the importance of proper variable selection. Additionally, the syllabus and implementation options for digital systems, such as ASICS and FPGAs, are outlined.