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If you divide the number of oscillations since you synchronized your clock (with an external source) by the frequency of the oscillator, you will get the number of seconds that have passed since you performed the synchronization...

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Q: What reason an oscillator may be used to keep time is the?
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Do 555 timer used to set time?

No. It's an oscillator.


What type of oscillator used in handwatches?

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