![]() ![]() In a pessimistic scenario, time on our clock is maximum 30s behind or maximum 30s ahead of the real time. In an optimistic scenario, we hit the middle of the current minute so our clock shows the exact time - very accurate. In this situation our clock is 25s behind. It means the real time is some seconds before 12h:34m:30s (e.g. We hit the end of the minute on our clock (e.g. ![]() It means time on our clock (12h34m) is very close to the real time - just +/-05s off. The real time is around the beginning of the minute 12h:34m:00s - in our example between 12h:33m:55 and 12h:34:05. We hit around the middle of current minute on our clock (let's say somewhere between 25s-35s).Because our clock shows 12h:34m, time shown on our clock is 25s ahead of the real time. We hit the beginning of the minute on our clock, e.g.Let's analyse our scenario again: later we check the time and the clock shows 12:34 (12h:34m). Or the other way: when a reference clock shows 12h:00m:00s (real time) our clock needs to be set up to 12h:00m: 30s. We set our clock to be exactly 12h:00m:00s when the reference clock hits 11h:59m:30 (real time). Let's see how does it work and how can it help us: We need to set our clock to be 30s ahead the real time. But we need a rounding function to a closest minute. Our clock is evaluating a mathematical floor function on current time. We have only 25% chance (1 out of 4 times we look at the clock) that the time we see on our clock is acceptably accurate. ![]() What is the probability that the time we see on our clock is just a 15s off from the real time? It's 15s / 60s = 0.25 We can pick some number of seconds, which we think is still acceptable to be off from the real time. It means that whenever we check the time on our clock, it means (on average, usually) 30s of the current minute have already passed. By probability, our accuracy will be on average 30s behind the real time. DIGITAL CLOCK WITH SECONDS FULLIt is important as some people set a clock a full minute ahead of real time so they will never be late.
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