A twelve hour clock has 1,2,3,4,5,6,7,8,9,10,11,12 and is the standard form time clock. A 24 hour clock has times starting at 1-12, but after it will start with 13 as 1 p.m. all the way to 24 or 00 as 12 midnight.
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A 12 hour clock would measure time in 12 hour cycles, when the clock gets to 12am or pm it starts again at 1am or pm.
The 24 hour clock would measure time in 24 hour cycles.
Precision is based on the cycle and not the time on the face. An hour is an hour no matter what the time is on the clock.
0415
Midnight is represented as: 00:00 on a 24 hour clock.
On a normal, 12-hour clock, that takes 3 hours. On a military, 24-hour clock, it takes 6 hours.
Because your calculation could be 12 hours out ! The difference between 8 o'clock and 10 o'clock is 2 hours. The difference between 8AM and 10PM is fourteen hours !