Digital magnitude comparator fundamentals: Evaluate the statement — “A basic binary comparator evaluates two multi-bit binary strings bit by bit and always outputs a logic 1.”

Introduction / Context:
Binary magnitude comparators are widely used building blocks in digital systems for sorting, decision making, and address decoding. They compare two binary numbers and generate outputs that indicate the relationship between them, typically A > B, A = B, or A < B. This question checks whether you understand that a comparator does not “always output a 1,” but instead produces relationship-specific signals.

Given Data / Assumptions:

• Two binary inputs (labeled A and B) of equal width are applied.
• The device is a standard digital magnitude comparator.
• Outputs are conventional comparator flags (A>B), (A=B), and (A

Concept / Approach:
A comparator determines relative magnitude by examining bits from the most significant bit downward. Once a definitive difference is found, lower-order bits no longer affect the outcome. The device asserts one of several indicator outputs, not a single line that is perpetually high. Therefore, “always outputs a 1” is a misunderstanding of comparator behavior.

Step-by-Step Solution: