The Arduino ADC or Analogue to Digital Converter takes an input
voltage and converts it into a digital value. With the standard setup
you can measure a voltage between 0V and 5V with a resolution of 4.9mV
so you can get a lot of detail when measuring
Arduino Analog Pins
There are six pins on the Arduino Uno (shown below A0 ~ A5) that
can be selected for an ADC measurement; A multiplexor feeds one of the six
analogue input pins into the ADC.
TIP: Arduino Analog pin numbers for different Arduino devices are here.
To read an analogue voltage from pin A4 you use the following function:
Setting of the multiplexor is done in that function for
Arduino ADC size
The Arduino ADC has a 10 bit converter, and that means there are
1024 distinct values that can be returned as a result from the ADC:
since pow(2,10) = 2^10 = 1024
Divide by 1023 or 1024?
There is always some confusion about whether to divide by 1024 or 1023
to get the voltage value for each bit.
However the ATMega328P datasheet gives the following formula:
re arranging that gives:
Vin = (Vref/1024)*ADC
Arduino ADC resolution at 5V
So for Vref=5V, an ADC value of 1 would result in a Voltage step of
4.88mV - the value of voltage for one LSB - this is the Arduino ADC
resolution for a 5V Vref.
Note however that the maximum ADC value is 1023 so the maximum ADC value that can ever be reported is:
1023 * (5/1024) = 4.9951V
As it states in the datasheet:
"0x000 represents analog ground, and 0x3FF represents the selected reference voltage minus one
The reason that you will see the wrong equation on the web is so that
the output "feels" right i.e. 1023*(5/1023) = 5.000. This is the wrong
equation to use and means there is an offset added to all values.
How the Arduino ADC works
This ADC is known as a successive approximation ADC and requires several clock cycles to zoom in on the correct ADC output.
The ADC converter compares the input analogue voltage to a portion of
Vref using a divide by two sequence. The sample and hold capacitor is
charged to the input voltage and then the input disconnected so that the
same voltage is measured throughout the conversion process.
It first checks whether the input voltage is higher or lower than
half the Vref voltage, by using a DAC to generate half the reference
voltage. The DAC voltage is the fed into a comparator.
The output of the DAC forms the high bit of the result (stored in a shift
register). If the input voltage is higher then the bit is one, otherwise
the bit zero.
If the input is lower than half Vref then control logic generates a
DAC voltage that is 1/4 the reference voltage. The comparison is made
again and this forms the next bit in the ADC output.
The process continues until all the bits are collected.
For the Arudino the conversion process takes 13 cycles of the ADC
clock - which you set using a prescaler in the ADC module. The ADC clock
must be between 50kHz and 200kHz so you choose the prescaler value to
get a valid ADC clock.
The ADC clock prescaler can be set as a 2n division from 2 to 128.
You obviously want the fastest conversion rate for the clock in use so
for a 16MHz system clock you would calculate 16e6/200e3 = 80 so the
closest could be 64.
However 16e6/64 is 250kHz and is too big. Therefore choosing a divisor of 128 must be used so the ADC clock will
be 16e6/128 = 125kHz.
A conversion will take (check these settings are used in the Arduino
Source code! - I have not - they are extremely likely though)
Arduino Uno sampling rate (16MHz crystal)
1.0 / ( 13 * 1.0/125e3) = 9615Hz
Actually, reading the Arduino reference page it says the sample rate is
about 10kHz so this calculation matches that information.
So the maximum Arduino ADC sampling rate is:
Changing the Arduino Sampling Rate
ADC clock calculations
If you set the system clock to 20MHz you get 20e6/128 = 156250.0 - for a bit faster conversion.
Interestingly if you go the other way as a design decision you want
the fastest ADC clock rate of 200kHz, then you have to ask the question:
"What crystal clock results in a 200kHz rate after ADC prescaling?" i.e.
So reducing the Xtal clock allows a faster conversion rate of 200kHz!
Giving a max samping rate of:
1.0 / ( 13 * 1.0/200e3) = 15384Hz (THIS IS FOR A 12.8MHz XTAL)
...and yes you can get crystals made to your spec! - but you'll probably
use a 12MHz crystal, as its easier to get, so the sample rate above
will be a bit lower.
Example operation of 4bit ADC
This is a diagram of the action or the successive approximation ADC
using Vref as 5V. Here a 4 bit ADC is shown but the principle is the
same however many bits are used.
4 bit ADC Operation
Initially the input voltage (Vin) is greater than the starting value of
the DAC voltage (set by initial DAC value of B1000) so this bit is kept.
In the next processing period the DAC output is set to B1100 but in
this case the DAC voltage becomes greater than Vin (and that bit is
The next two DAC values are kept because the DAC voltage is always
lower than Vin and you end up with an ADC output value of B1011 - the
ADC successively approaches the final value.
The final output DAC voltage is 2.5 + 0.625 + 0.3125 = 3.4375V
The advantage of the successive approximation ADC is that it is
deterministic i.e. it always takes the same amount of time. Consider
using a binary counter as the input to the DAC that always started at
zero and counted up. For a low Vin it would take a few counts to find
the value and for a high Vin it would take lots of counts (possibly 255
cycles for an 8 bit DAC) i.e. it would take different times depending on
the input voltage!
Note: As the number of bits in the ADC increases so does the acquisition time.
Arduino Uno ADC resolution
As we saw earlier the resolution of the ADC, when Vref=5V is 4.88mV per step.
The Arduino analogRead resolution which is the same as the resolution of the ADC is governed by two things
The ADC size - 10bits for the Uno.
The ADC reference voltage.
Note: The arduino function analogReadResoution() allows the analogRead() function to return a different number of bits.
Some of the Arduinos e.g. DUE have 12 bit ADCs built in, so returning
10bits will keep the code in these boards compatible with other Arduino
boards that only have a 10 bit ADC. This is the default operation - to get 12 bits you will need to use analogReadResoution(12).
Using an ADC with more bits makes the the minimum step size (LSB)
smaller to give higher resolution. The Arduino Uno is fixed at 10 bits.
ADC Reference voltage
The other way to affect the arduino ADC resolution is to use a
different reference voltage. The reference voltage is the full-scale
voltage applied to the ADC converter operating as described above.
Say you changed the Vref value to 1V then the minimum LSB you could detect would be 1/1024 or
TIP: You can select the internal 1.1V reference and this will give a
step size of about 0.1V: Exact calculation is 1.1/1024 = 0.00107V
~0.11mV per step . This does mean the ADC can't read voltages above 1.1V
- they will just return 1024.
Example ADC Use
Connect a 10k potentiometer with wiper (middle) to pin A0 and one end
to 5V, and the other end to Ground. This example simply uses the arduino analog read function analogRead() to read data from the specified analogue pin.
Start the serial monitor, and observe the led period. The on-off time
is twice the value of the analogue value so it varies from 2s to ~0.
Demonstrates analog input by reading an analog sensor on analog pin 0 and
turning on and off a light emitting diode(LED) connected to digital pin 13.
The amount of time the LED will be on and off depends on the value obtained
center pin of the potentiometer to the analog input 0
one side pin (either one) to ground
the other side pin to +5V
anode (long leg) attached to digital output 13
cathode (short leg) attached to ground
- Note: because most Arduinos have a built-in LED attached to pin 13 on the
board, the LED is optional.
created by David Cuartielles
modified 30 Aug 2011
By Tom Igoe
This example code is in the public domain.
intsensorPin=A0;// select the input pin for the potentiometer
intledPin=13;// select the pin for the LED
intsensorValue=0;// variable to store the value coming from the sensor
// declare the ledPin as an OUTPUT:
// read the value from the sensor:
// turn the ledPin on
// stop the program for <sensorValue> milliseconds:
// turn the ledPin off:
// stop the program for for <sensorValue> milliseconds:
Another example of hardware that needs to use analogue inputs is the Arduino joystick.
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