Question 21

Computer Awareness Boolean algebra Medium

The following circuit generates the same output as?

Question Image
(A) XOR GATE
(B) XNOR GATE
(C) NAND GATE
(D) NOR GATE
βœ“ Correct Answer: Option B Verified Solution

πŸ“˜ Step-by-Step Solution & Detailed Explanation:

Circuit Equivalent Gate Solution

Q: The following circuit generates the same output as?

Circuit Image

Solution:

The given circuit uses combinations of logic gates. Let’s analyze step by step:

  1. First, notice that the circuit applies XOR logic followed by a NOT gate (inverter).
  2. The NOT of XOR is equivalent to an XNOR gate.
  3. Hence, the circuit output is the same as XNOR Gate.

Truth Table Verification:

A B \( A \oplus B \) (XOR) \( \overline{A \oplus B} \) (XNOR)
0001
0110
1010
1101

Thus, the circuit implements:

\( \text{Output} = \overline{A \oplus B} = A \odot B \) (XNOR)

Options:

  • A. XOR GATE
  • B. XNOR GATE βœ…
  • C. NAND GATE
  • D. NOR GATE

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