The correct format for representing 45 minutes after 8 PM is 21:45. In a 24-hour time format, which is often used in emergency services and by telecommunicators, the hours range from 00 to 23.
In this system, 8 PM is converted to 20:00. Adding 45 minutes to this means adding 0 hours and 45 minutes, which results in 20:45. However, when specifically looking for "45 minutes after 8 PM," you reach the next hour at 9 PM, which is represented as 21:00 in 24-hour time. Therefore, 21:00 plus 0 hours and 45 minutes is 21:45.
Thus, the valid representation for 45 minutes after 8 PM, converting to 24-hour format correctly, is 21:45.