Assignment:
Design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
1. NOT X OR NOT Y OR Z
2. X OR Y OR NOT Z
3. NOT X AND Y OR NOT Y AND Z
Please include the following:
1. Diagrams of your logic circuits.
2. Truth tables that indicate the output (a 0 or a 1) for each possible combination of values of X, Y, and Z.
3. A clear explanation of the relationship between Boolean Algebra and the circuits that you designed.
Provide complete and step by step solution for the question and show calculations and use formulas.