Final answer:
The accuracy of an 8-bit system representing an analog range from 32 to 212 is approximately 0.7031 per single increment in the binary value.
Step-by-step explanation:
When using an 8-bit binary number to represent an analog value in the range from 32 to 212, the resolution, or accuracy, of the system can be determined by dividing the total range of analog values by the number of discrete steps that the 8-bit number can represent. An 8-bit number can represent 28 or 256 discrete steps. The range of analog values in this instance is 212 - 32 = 180. To find out the change in the analog value represented by a single increment in the binary number, divide the range by the number of steps:
Accuracy = Range / Number of steps
Accuracy = 180 / 256 ≈ 0.7031
Therefore, if the binary number is incremented by one, it represents a change of approximately 0.7031 in the analog value.