XNOR truth table completion: For a two-input XNOR gate with inputs (A,B) ordered as 00, 01, 10, 11, the corresponding outputs w, x, y, z are ____, ____, ____, and ____, respectively.

Introduction / Context:The exclusive-NOR (XNOR) function outputs HIGH when its inputs are equal and LOW when they differ. Completing a truth table tests conceptual understanding of equality detection in digital logic.

Given Data / Assumptions:

• Two-input XNOR gate.
• Row order: (A,B) = 00, 01, 10, 11.
• Positive logic convention.

Concept / Approach:XNOR is the complement of XOR. XOR is 1 when inputs differ; therefore XNOR is 1 when inputs are the same: 00 or 11. It is 0 for 01 and 10. This maps directly to the requested sequence w, x, y, z.

Step-by-Step Solution:

Verification / Alternative check:Boolean identity: XNOR = A′B′ + AB. Evaluate each row to confirm 1,0,0,1 in the specified order.

Why Other Options Are Wrong:

• 0,1,0,1 or 1,1,1,0 etc.: These patterns do not match the equality-only HIGH behavior; they either assert on differing inputs or on too many cases.

Common Pitfalls:Swapping XOR and XNOR; mixing row order; assuming a different input ordering, which would permute the output sequence.

Final Answer:1, 0, 0, 1