What is De Morgan’s theorem used for in digital logic?
2024
What is De Morgan’s theorem used for in digital logic?
- A.
Simplifying Boolean expressions
- B.
Implementing NAND gates
- C.
Performing binary addition
- D.
More than one of the above
- E.
None of the above
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Correct answer: A
De Morgan’s theorem is a fundamental principle in Boolean algebra used to simplify logical expressions. It states that the complement of a product (AND) of variables is equal to the sum (OR) of their complements, and the complement of a sum (OR) of variables is equal to the product (AND) of their complements. In digital logic, this theorem is primarily used to simplify complex Boolean expressions, making circuits easier to design and analyze.