Question

In a Boolean algebra theorem which of the following is TRUE?

• A. \( x + (x \cdot y) = y \)
• B. \( x \cdot (x + y) = y \)
• C. \( (x \wedge y) \vee x' \vee y' = 1 \)
• D. \( (x \vee y) \wedge ((x \wedge y') \vee y)' = 0 \)

Hint:

To solve Boolean identities quickly, try substituting \( x=0, y=1 \) or vice versa. If an identity holds for all 4 combinations of 0 and 1, it is true.

Answer 1

The Correct Option is C