Final answer:
The resolution of an 8-bit binary system with a range from 120 to 700 ounces is approximately 2.27 ounces per level, meaning the smallest detectable change in weight by the system is about 2.27 ounces.
Step-by-step explanation:
To determine the resolution of an 8-bit binary system used to represent an analog value ranging from 120 ounces to 700 ounces, we first identify the range of values that need to be represented. We then calculate the resolution by finding the number of discrete levels that an 8-bit binary number can provide, which is 28 or 256 levels. After that, we divide the range of the analog values by the number of levels to find the resolution.
The range of analog values is: 700 ounces - 120 ounces = 580 ounces.
Now, to calculate the resolution:
Resolution = Range / Number of levels
Resolution = 580 ounces / 256
Resolution = 2.265625 ounces per level
This means that the smallest change in weight that the system can detect and represent is approximately 2.27 ounces. In practical terms, it means that if you are using this digital system to measure weight, the value will increase or decrease in increments of approximately 2.27 ounces.