Match List I with List II
| LIST I | LIST II | ||
|---|---|---|---|
| A. | OR gate | I. | \( A.B = Y \) |
| B. | AND gate | II. | \( \overline{A+B} = Y \) |
| C. | NOR gate | III. | \( A+B = Y \) |
| D. | NAND gate | IV. | \( \overline{AB} = Y \) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-III, B-I, C-II, D-IV
Each logic gate is described by a Boolean expression: addition (+) stands for OR, multiplication (·) for AND, and a bar for NOT.
(A) OR gate — this matches (III) \( A+B = Y \). The output is 1 if at least one input is 1.
(B) AND gate — this matches (I) \( A.B = Y \). The output is 1 only when both inputs are 1.
(C) NOR gate — this matches (II) \( \overline{A+B} = Y \). A NOR gate is an OR gate followed by a NOT gate, so the bar covers the whole sum.
(D) NAND gate — this matches (IV) \( \overline{AB} = Y \). A NAND gate is an AND gate followed by a NOT gate, so the bar covers the whole product.