How does the complement of a function differ from its dual?

Subject: Digital Logic Systems

Topic: Digital Logic Systems Unit 2: Minimization Techniques

Options:

1. Option A: The complement is the same as the dual.
2. Option B: The complement complements all variables, whereas the dual does not.
3. Option C: The dual complements all variables, whereas the complement does not.
4. Option D: The complement only swaps OR and AND.

Correct Answer:

Option B: The complement complements all variables, whereas the dual does not.

Explanation:

The dual swaps operators ($+ \leftrightarrow \cdot$) and constants ($0 \leftrightarrow 1$) but keeps variables unchanged. The complement swaps operators, constants, **and** inverts all individual variables.