Defining DAC resolution (practical metric): One practical way to express the resolution of a DAC is the ratio of one LSB step size to the full-scale output span. Evaluate this statement.

Introduction / Context:Resolution can be stated in several complementary ways: in bits (n), in number of distinct codes (2^n), as an absolute LSB voltage/current step, or as a fraction of the full-scale range. Engineers often use the ratio LSB/FS (sometimes expressed as a percentage or parts per million) because it directly links code granularity to the converter’s usable output span.

Given Data / Assumptions:

• Ideal n-bit DAC with a defined full-scale span (FS).
• Uniform step size across codes (ignoring DNL/INL for the definition).
• Full-scale may be specified as Vref or a scaled multiple thereof by the DAC topology.

Concept / Approach:For an ideal DAC, LSB step size = FS / (2^n). Many texts define “resolution” as 1 in 2^n of full scale, i.e., LSB/FS. Some use (2^n − 1) in the denominator when mapping codes 0…(2^n − 1) over FS; the key point is that resolution can be expressed as the fractional LSB size relative to FS. This is a practical, widely used definition alongside the bit count.

Step-by-Step Solution:

Verification / Alternative check:Datasheets often present both n (bits) and LSB size in volts or microamps; the fractional view is inherent in percent-of-full-scale specifications.

Why Other Options Are Wrong:

Common Pitfalls:Confusing resolution (granularity) with accuracy (INL/DNL, gain/offset) and noise; a small LSB does not guarantee accurate outputs.

Final Answer:Correct