To reduce the expression \(\sim(p \land q)\) using De Morgan's law, we proceed as follows:

1. **De Morgan's Law**: This law states that the negation of a conjunction is equivalent to the disjunction of the negations. Mathematically:
   \[
   \sim(p \land q) \equiv (\sim p) \lor (\sim q)
   \]

So, the reduced form of \(\sim(p \land q)\) is:
\[
\sim p \lor \sim q
\]

Would you like more details or have any questions?

Here are five related questions:
1. How would you reduce \(\sim(p \lor q)\) using De Morgan's laws?
2. What is the result of \(\sim(p \land \sim q)\)?
3. How do De Morgan's laws apply to logical expressions involving more than two variables?
4. Can De Morgan's laws be used to simplify the expression \(\sim(\sim p \land q)\)?
5. What is the truth table for the expression \(\sim(p \land q)\)?

**Tip:** De Morgan's laws are extremely useful for simplifying complex logical expressions and are often used in digital circuit design.

Learn how to reduce the logical expression ~(p and q) using De Morgan's Laws. This problem covers key concepts in Boolean algebra and logical simplification, focusing on the application of De Morgan's Law. Suitable for high school students and anyone interested in logical reasoning.

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