This document presents a comprehensive solution to a homework assignment in Electrical Engineering, focusing on Boolean algebra and logic gates. The solution covers fundamental concepts such as Boolean products, sums, and the principle of duality. It includes truth tables for AND, OR, and NOT operators and explains the relationship between transistors and logic gates. The assignment delves into the two universal gates, NAND and NOR, explaining their importance in simplifying Boolean operations. Part 2 of the assignment involves computations, including sketching logic diagrams, writing unsimplified Boolean expressions, and constructing truth tables for various expressions. The document also addresses DeMorgan's Law, finding complements of Boolean expressions, and simplifying expressions using Boolean algebra rules. Furthermore, it covers Sum of Products (SOP) expressions and truth tables for complex Boolean expressions and provides solutions for various logic expression simplifications.