Question

Match the postulates in List-I with List-II.

• A.
• B.
• C.
• D.

Hint:

Remember: Identity preserves value, Null forces constant, Complement flips, Idempotent repeats same value.

Answer 1

The Correct Option is C

Concept: Boolean algebra laws define relationships between logical variables using OR (+), AND (·), and NOT (overbar).

Step 1: Identity law \[ A + 0 = A,\quad A \cdot 1 = A \Rightarrow (iii) \]

Step 2: Null law \[ A + 1 = 1,\quad A \cdot 0 = 0 \Rightarrow (iv) \]

Step 3: Complement law \[ A + \overline{A} = 1,\quad A \cdot \overline{A} = 0 \Rightarrow (i) \]

Step 4: Idempotent law \[ A + A = A,\quad A \cdot A = A \Rightarrow (ii) \] Final Matching \[ a \to (iii),\; b \to (iv),\; c \to (i),\; d \to (ii) \] Final Answer: \[ \boxed{(C)} \]