Which of the following equations correctly express De Morgan's Laws in boolean algebra?

Multiple Choice Options

A
NOT (A AND B) = (NOT A) OR (NOT B)
B
NOT (A OR B) = (NOT A) AND (NOT B)
C
Both a and b
✓ Correct Option
D
None of the above

Detailed Technical Solution & Explanation

De Morgan's Laws establish dual relationships in boolean algebra:

1. The complement of a conjunction is the disjunction of the complements: $\overline{A \cdot B} = \overline{A} + \overline{B}$

2. The complement of a disjunction is the conjunction of the complements: $\overline{A + B} = \overline{A} \cdot \overline{B}$ . Both statements are true.

Option Analysis:

•

Option A: First De Morgan law.

•

Option B: Second De Morgan law.

•

Option C (Both a and b): Correct. Both equations are valid De Morgan's laws.

•

Option D: Incorrect.

Reference: Demo2 · Set 1NEC Licensure Syllabus

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ACtE08 · Chapter 8Demo2 · Set 1🏛️ Past Licensure QuestionID: 6ab81142