Question:medium

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

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Remember: Identity preserves value, Null forces constant, Complement flips, Idempotent repeats same value.
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The Correct Option is C

Solution and Explanation


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: \[ {(C)} \]
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