(i) Full-scale range:

Given:

Amplitude scale = \(500 \text{ mV/div}\)

Number of divisions = \(10\)

The full-scale range is calculated by multiplying the amplitude scale by the number of divisions.

Full-scale range = Amplitude scale \(\times\) Number of divisions

Full-scale range = \(500 \text{ mV/div} \times 10 \text{ divisions}\)

Full-scale range = \(5000 \text{ mV}\)

Full-scale range = \(5 \text{ V}\)

(ii) Resolution:

Given:

Full-scale range = \(5000 \text{ mV}\) (from part i)

Number of discernible values = \(1024\)

Resolution is defined as the smallest change in the input signal that an analog-to-digital converter (ADC) can detect. It is calculated by dividing the full-scale range by the number of discernible values (quantization levels).

Resolution = \(\frac{\text{Full-scale range}}{\text{Number of discernible values}}\)

Resolution = \(\frac{5000 \text{ mV}}{1024}\)

Resolution \(\approx 4.8828 \text{ mV}\)