Question

Identity Law is

• A. \(A + 0 = A\)
• B. \(A \cdot 1 = A\)
• C. Both of the above
• D. None of the above

Hint:

Identity elements in Boolean algebra are \(0\) for OR operations and \(1\) for AND operations.

Answer 1

The Correct Option is C

Step 1: Understand Boolean algebra laws.
Boolean algebra is used in digital logic and computer science to simplify logical expressions. There are several laws in Boolean algebra such as identity law, null law, complement law, and distributive law.
Step 2: State the Identity Law.
The Identity Law states that combining a variable with its identity element does not change the value of the variable.
For the OR operation \[ A + 0 = A \] For the AND operation \[ A \cdot 1 = A \] Step 3: Analyze the given options.
Option (1) represents the OR identity law.
Option (2) represents the AND identity law.
Since both expressions represent valid identity laws, both statements are correct.
Step 4: Conclusion.
Therefore the correct answer is \[ \text{Both of the above} \]