Question 21
Computer Awareness
Boolean algebra
Medium
The following circuit generates the same output as?
(A) XOR GATE
(B) XNOR GATE
(C) NAND GATE
(D) NOR GATE
View Dynamic Solution & Explanation ▼
Correct Solution: Option B
Step-by-step Solution:
Q: The following circuit generates the same output as?
Solution:
The given circuit uses combinations of logic gates. Let’s analyze step by step:
- First, notice that the circuit applies XOR logic followed by a NOT gate (inverter).
- The NOT of XOR is equivalent to an XNOR gate.
- Hence, the circuit output is the same as XNOR Gate.
Truth Table Verification:
| A | B | \( A \oplus B \) (XOR) | \( \overline{A \oplus B} \) (XNOR) |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
Thus, the circuit implements:
\( \text{Output} = \overline{A \oplus B} = A \odot B \) (XNOR)