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ELEC 2200 HW4 M11

# ELEC 2200 HW4 M11 - which no complement is applied to more...

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ELEC 2200 – Homework 5 (Chapter 2 – Switching Algebra) Use the absorption theorems (Theorems 4-5-6), plus any other theorems and postulates, to simplify the following expressions. (The simplified expressions should have as few terms as possible.) 1. + + + + ABC ABC AB ABC ABC 2. + + + + + + + + + X Y ZY X ZY XZ Y XX Y Z 3. + + + + + + abcd abcd abcd abcd abcd ab ac 4. + + + + + + + z x y wx y wyz zy xyz 5. 6. Use DeMorgan’s Theorem in the following. 7. Apply DeMorgan’s theorem to convert the following expression to one in which no complement is applied to more than a single variable. 8. 9. + + ab ac bc 10. 11. Apply DeMorgan’s theorem to convert the following expression to one in

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Unformatted text preview: which no complement is applied to more than a single variable. 12. 13. + + ( + + ) a ba c b c d 14. 15. Show that the following expressions are equivalent by converting the expression on the left to the expression on the right. Show each step in your conversion. 16. 17. + + = + + + a bcde fg∙h abh cfgh dfgh efgh 18. 19.Convert the following expression to a minimal form that would require as few gates as possible, with as few gate inputs as possible, and in which no complement is applied to more than a single variable. 20. 21. + + + w xx y wyz 22. 23....
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