How the tuner hears your string
A plucked string produces a waveform that repeats. The tuner's whole job is to measure how long one repetition takes, because the reciprocal of that time is the frequency.
Finding the repeat is harder than it sounds. A guitar string does not produce a clean sine wave; it produces a fundamental plus a stack of harmonics, and the shape changes as the note decays. The tuner compares the incoming waveform against a delayed copy of itself and looks for the delay at which the two line up best. That delay is the period.
One detail decides whether the reading is trustworthy. A naive comparison scores long delays worse than short ones simply because fewer samples overlap, which biases every result toward higher frequencies and makes the low strings read sharp. Normalising the comparison by the energy actually present at each delay removes that bias, which is why a low E reads the same 82.41 Hz as a high E reads 329.63 Hz.
The detector also reports how strongly the window repeats at all. When that confidence is low, because the room is noisy or the string has died away, the gauge shows nothing rather than guessing. A tuner that always displays a number is not more accurate, it is less honest.
This is also why one string at a time works and strumming does not. Six notes together have no single repeating period, so there is nothing for the detector to lock onto. Pluck one string, let it ring, read the needle.