This document discusses various methods for minimizing switching functions, including: 1. The Karnaugh map method, which represents truth tables graphically to find logically adjacent terms that can be combined. 2. Prime implicants and essential prime implicants, which are product terms that cover minterms. The essential ones must be included in the minimal expression. 3. Don't care conditions, which allow further simplification by treating unspecified minterms as don't cares. 4. The Quine-McCluskey tabulation method, which systematically generates prime implicants and finds the essential ones and minimal cover.