In a 24-hour digital clock, the digit '5' appears in the hour section and the minute section. For the hours, '5' appears from 05:00 to 05:59, totaling 60 occurrences. In the minutes, '5' appears in the tens place (05, 15, 25, 35, 45, 55) which accounts for 6 occurrences per hour, across 24 hours, totaling 144 occurrences. Therefore, '5' appears 204 times in a 24-hour digital clock.
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