Contents
Introduction
This tool computes the voltage resolution or the smallest voltage that can be measured by an analog-to-digital converter (ADC).
Every ADC is the number of bits it uses to digitize samples of the analog input. An n bit ADC produces 2n discrete digital levels.
The larger the number n, the higher the resolution.
Enter:
- Number of bits
- Maximum Analog Input Voltage
- Minimum Analog Output Voltage
ADC Resolution Formula
An ADC accepts an analog voltage at its input and converts it to an n-bit digital value. A 12-bit ADC for instance produces 212 = 4096 discrete values at its output.
The analog resolution or the smallest value that can be measured by the ADC is given by the formula:
(Vmax – Vmin)/2n
where
- Vmax is the maximum input voltage
- Vmin is the minimum input voltage
- n is the number of ADC bits
The difference between Vmax and Vmin is the input voltage range
Calculation Example
A 12 bit ADC with an input voltage range of 3.3 Volt has a resolution of 0.81 mV.
Increasing the number of bits, increases the ADC resolution and therefore the precision of the measurement.
? A related concept is the Quantization Error of the ADC.
ADC Resolution Table
The following shows the ADC resolution for an input voltage range of 5V
| Number of ADC Bits | ADC Resolution (Volt) |
| 1 | 2.5 |
| 2 | 1.25 |
| 3 | 0.625 |
| 4 | 0.3125 |
| 5 | 0.15625 |
| 6 | 0.078125 |
| 7 | 0.0390625 |
| 8 | 0.01953125 |
| 9 | 0.009765625 |
| 10 | 0.0048828125 |
| 11 | 0.00244140625 |
| 12 | 0.001220703125 |
| 13 | 0.0006103515625 |
| 14 | 0.00030517578125 |
| 15 | 0.000152587890625 |
| 16 | 0.0000762939453125 |
| 17 | 3.814697265625E-05 |
| 18 | 1.9073486328125E-05 |
| 19 | 9.5367431640625E-06 |
| 20 | 4.76837158203125E-06 |
| 21 | 2.38418579101562E-06 |
| 22 | 1.19209289550781E-06 |
| 23 | 5.96046447753906E-07 |
| 24 | 2.98023223876953E-07 |