Boolean algebra and digital logic


Assignment:

1093_Digital Logic.JPG

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.

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Algebra: Boolean algebra and digital logic
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