Wrong analog reading
I have found the answer. I am not an arduino-newbie, but I was thinking that probably I am making a stupid mistake somewhere. But the problem is in my arduino. I tried setting pin D13 (and then all other pins) to HIGH, and I only measured 4.60V! I measured my USB port and it outputs 5.00V exactly, so there must be a problem in the arduino. So the solution - the ADC takes 4.60V as 1023, and therefore if you calculate it you get that the real voltage is 3.90V, which is exactly the same as my DMM said. Thanks Majenko, you were pointing the right way :) By the way, I was using a cheap Arduino Nano from China, I bought it only for 2.2 USD from Ebay. When I used original Arduino, the code and circuit perfectly works. Do you think that this can limit the functionality of my board?