What is the result of applying de Morgan's theorem to the expression (x + y)?
Understand the Problem
The question is asking for the application of de Morgan's theorem to the expression (x + y) and what the resulting expression would be.
Answer
(¬x) * (¬y)
Applying De Morgan's theorem to the expression (x + y) results in (¬x) * (¬y).
Answer for screen readers
Applying De Morgan's theorem to the expression (x + y) results in (¬x) * (¬y).
More Information
De Morgan's theorem provides a way to transform a logical expression into its equivalent by negating and flipping the operators. It's useful in digital electronics for simplifying circuit designs.
Tips
A common mistake is forgetting to negate and redistribute the negation over the entire expression. Always ensure all elements are correctly inverted.
Sources
- De Morgan's Law (Theorem) - Sets, Boolean Algebra, Proof - Cuemath - cuemath.com
- De Morgan's laws - Wikipedia - en.wikipedia.org
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