Logic minimization is the process of simplifying Boolean expressions to reduce the number of variables and operations needed. This is important in digital circuit design, where fewer components can lead to lower costs, reduced power consumption, and improved performance. Techniques like Karnaugh maps and Quine-McCluskey algorithm are commonly used for this purpose. By minimizing logic expressions, engineers can create more efficient circuits that perform the same functions with less complexity. This simplification helps in optimizing the design for field-programmable gate arrays (FPGAs) and integrated circuits (ICs), making them easier to implement and maintain.