Definition of a digital quantity: does it assume discrete values? Evaluate the statement: “A digital quantity has a discrete set of values.” Decide whether this captures the essence of digital representation.

Introduction / Context:Digital versus analog is a core distinction in engineering. A digital quantity is one that assumes values from a countable set, typically finite within a given word length. This item checks your understanding of that definition and its implications for measurement and computation.

Given Data / Assumptions:

• Digital systems represent information with discrete symbols (bits) aggregated into words.
• A fixed word length implies a finite set of representable codes at any instant.
• Quantization maps continuous variables to discrete codes.

Concept / Approach:By definition, digital quantities are discrete. An n-bit word encodes 2^n possible values (or states). In contrast, analog quantities vary continuously within ranges. The discreteness underpins quantization error, sampling theory, and noise immunity advantages of digital processing.

Step-by-Step Solution:

Verification / Alternative check:Consider a 10-bit ADC: it outputs one of 1024 codes for any input, illustrating discreteness.

Why Other Options Are Wrong:

Common Pitfalls:Assuming digital waveforms are “square analog” and thus continuous; their representation and interpretation are discrete even if the physical waveform has finite rise time.

Final Answer:Correct