Real atomic clocks measure time through the vibration of a cesium atom, these are insanely accurate, and we actually use a certain number of cesium atom vibrations as a standard for a second (9,192,631,770), so these are technically always 100% correct
Your digital alarm clock measures time through some other mean which may not be as accurate as the literal standard of what a second is defined as, so naturally these may eventually get out of sync.
Clocks on your smartphone, or computer don’t go out of sync because these are synced with some kind of time server elsewhere that is either run by an atomic clock, or synced by some other mean.
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