The formula to calculate the effective resolution is:
\[ R = \frac{V}{2^n} \]
Where:
Effective resolution is a measure of the smallest voltage difference that can be distinguished by an analog-to-digital converter (ADC). It is determined by the full scale voltage range and the number of bits used in the conversion process. The higher the number of bits, the finer the resolution, allowing for more precise measurements. Effective resolution is crucial in applications where accurate and detailed signal representation is required, such as in scientific instruments, medical devices, and high-fidelity audio equipment.
Let's assume the following values:
Using the formula:
\[ R = \frac{5}{2^{10}} = \frac{5}{1024} \approx 0.0048828125 \text{ V} \]
The effective resolution would be approximately 0.0048828125 V.
Let's assume the following values:
Using the formula:
\[ R = \frac{3.3}{2^{12}} = \frac{3.3}{4096} \approx 0.0008056641 \text{ V} \]
The effective resolution would be approximately 0.0008056641 V.