Arduino Due Current Draw. But there are other components in the Arduino that will draw much more. If the Due is anything like the Uno it will use quite a bit doing absolutely nothing.
The Arduino Due is one of the larger boards and is also the first Arduino board to be powered by an ARM processor. LED - 33v SCK - D13 SDA - D11 DC - D9 Reset - D8 CS - D10 GND - GND VCC - 5v. ARDUINO DUE board is one of most powerful development boards in ARDUINO series.
The Uno doing noting at 16 MHz uses 61 mA with an 8 volt source.
You may be right that AtMega chip will draw relatively small amount of energy. If you want low current draw try the Teensy 30 instead. Its a inexpensive CEN-TECH Digital Multimeter. The maximum current draw of the Arduino is 200mA.