The term "full-scale" in the context of an Analog-to-Digital Converter (ADC) refers to the maximum input voltage that the ADC can convert to its maximum digital output value. Essentially, it's the range over which the ADC can accurately convert an analog signal into a digital representation.
Here’s a detailed breakdown:
1. **Definition**: The full-scale range of an ADC is the span between its minimum and maximum input voltages. For example, if an ADC is specified with a full-scale range of 0 to 5 volts, it means that it can handle input voltages from 0V up to 5V. Any voltage input beyond this range may not be accurately converted or could potentially damage the ADC.
2. **Resolution**: The resolution of an ADC determines how many discrete values it can output over its full-scale range. For example, an ADC with a 12-bit resolution can output \(2^{12} = 4096\) discrete values. This means it divides the full-scale range into 4096 levels. For a 0 to 5V full-scale range, each step represents approximately \( \frac{5V}{4096} \approx 1.22 \text{ mV} \).
3. **Input Voltage Reference**: Many ADCs allow you to set the full-scale range by adjusting the reference voltage. For instance, in some ADCs, the full-scale range might be set to match the reference voltage (e.g., 0 to 3.3V or 0 to 1.8V), and this reference voltage can sometimes be changed based on the application requirements.
4. **Example Calculation**:
- If you have a 10-bit ADC with a full-scale input range of 0 to 3.3V, then each bit represents \( \frac{3.3V}{1024} \approx 3.22 \text{ mV} \).
- If the ADC reads a digital value of 512, the corresponding analog voltage would be \( 512 \times 3.22 \text{ mV} \approx 1.65 \text{ V} \).
5. **Impact on Accuracy**: The full-scale range affects the accuracy of the ADC. A wider range might result in less precision because the same number of digital levels is spread over a larger range of input voltages.
In summary, the full-scale range of an ADC is crucial for determining its capability and precision in converting analog signals to digital values. It defines the limits within which the ADC operates correctly and can affect the choice of ADC for specific applications.