20 45 In 12 Hour Clock
You're staring at a train schedule. On top of that, or a flight itinerary. Practically speaking, maybe a meeting invite from a colleague in Berlin. And there it sits: 20:45. Your brain hesitates for just a second. Is that morning? Evening? Do you add twelve? Subtract twelve?
Yeah. That pause? It happens to everyone.
What Is 20:45 in 12-Hour Time
The short answer: 8:45 PM.
But let's break down why that's the answer, because the conversion rule is stupidly simple once you see it — and surprisingly easy to mess up when you're tired or rushed.
The 24-hour clock runs from 00:00 (midnight) to 23:59 (one minute before the next midnight). No PM. So no AM. Just a continuous count. The 12-hour clock splits the day in half: midnight to noon is AM, noon to midnight is PM. Both halves count 1 through 12.
So for any time after 12:59 (that's 12:59 PM in 12-hour speak), you subtract 12 from the hour. Plus, keep the minutes exactly as they are. Slap a PM on the end.
20 minus 12 = 8. Minutes stay 45. Result: 8:45 PM.
That's it. That's the whole trick.
The Midnight and Noon Edge Cases
Here's where people trip up. On the flip side, 00:00 is 12:00 AM (midnight). 12:00 is 12:00 PM (noon).
Notice something weird? Day to day, in 12-hour time, 12 comes before* 1. The cycle goes 12, 1, 2, 3... not 0, 1, 2, 3. So 00:00 becomes 12:00 AM, and 12:00 becomes 12:00 PM. The hour "12" serves double duty — it's both the start and the middle of each half-day.
Meanwhile in 24-hour time, midnight is 00:00 (or sometimes 24:00 for end-of-day notation) and noon is 12:00. Here's the thing — unambiguous. Clean. No double-duty numbers.
Why This Conversion Matters More Than You Think
You might wonder: why does anyone still use 12-hour time? Honestly? Habit. Cultural inertia. The US, UK, Canada, Australia, and a handful of other countries never fully switched. The rest of the world — military, aviation, healthcare, logistics, most of Europe and Asia — runs on 24-hour time because it eliminates ambiguity.
Ambiguity costs money. Sometimes lives.
A nurse giving medication at 8:45 — is that AM or PM? There's 08:45 and 20:45. Here's the thing — in 24-hour time, you can't* misread it. There is no 8:45 AM and 8:45 PM. A pilot reading a departure slot of 08:45 vs 20:45 — one's a morning flight, the other's evening. Distinct. Unmistakable.
But since you're reading this, you're probably in a 12-hour country dealing with a 24-hour input. Practically speaking, or vice versa. That's why the conversion isn't academic — it's practical. You need to catch that train. Make that call. Set that alarm correctly.
How to Convert Any 24-Hour Time to 12-Hour (Without Thinking Hard)
Let's make this automatic. Three rules. Memorize them once and you'll never Google "20 45 in 12 hour clock" again.
Rule 1: 00:00 through 00:59 → 12:XX AM
Midnight hour. The leading zeroes become 12. Minutes unchanged. AM.
- 00:00 → 12:00 AM
- 00:30 → 12:30 AM
- 00:45 → 12:45 AM
Rule 2: 01:00 through 11:59 → Same hour, add AM
Morning hours. Drop the leading zero if there is one. Minutes unchanged. AM.
- 01:00 → 1:00 AM
- 06:30 → 6:30 AM
- 11:59 → 11:59 AM
Rule 3: 12:00 through 12:59 → Same hour, add PM
Noon hour. This is the only PM hour that doesn't* need subtraction.
- 12:00 → 12:00 PM
- 12:15 → 12:15 PM
- 12:45 → 12:45 PM
Rule 4: 13:00 through 23:59 → Subtract 12, add PM
Afternoon and evening. This is where 20:45 lives.
- 13:00 → 1:00 PM
- 15:30 → 3:30 PM
- 20:45 → 8:45 PM
- 23:59 → 11:59 PM
That's the complete system. In practice, four rules. Covers every possible time.
A Mental Shortcut for the PM Hours
If subtraction feels like work, try this: drop the "1" from the tens place, then read the remaining digit.
- 13 → drop the 1 → 3 PM
- 14 → drop the 1 → 4 PM
- 15 → drop the 1 → 5 PM
- ...
- 20 → drop the 2 → wait, that gives 0. That's not right.
Okay, the "drop the 1" trick works beautifully for 13–19. For 20–23, subtract 2 from the tens digit instead:
Want to learn more? We recommend the ______________ _______________ turns the power on and off. and construct a polynomial function with the stated properties for further reading.
- 20 → 2 minus 2 = 0 → but we know 20:00 is 8 PM. So this shortcut breaks.
Better shortcut: for 20–23, subtract 8 from the hour.
- 20 − 8 = 12? No
Right. That math doesn't land. Let's fix the shortcut.
For 20–23: take the ones digit and add 8.
- 20 → 0 + 8 = 8 PM
- 21 → 1 + 8 = 9 PM
- 22 → 2 + 8 = 10 PM
- 23 → 3 + 8 = 11 PM
That works every time. No subtraction required.
Quick-Reference Table (Bookmark This)
| 24-Hour | 12-Hour | Rule |
|---|---|---|
| 00:00 | 12:00 AM | Rule 1 |
| 00:30 | 12:30 AM | Rule 1 |
| 01:00 | 1:00 AM | Rule 2 |
| 06:00 | 6:00 AM | Rule 2 |
| 11:59 | 11:59 AM | Rule 2 |
| 12:00 | 12:00 PM | Rule 3 |
| 12:30 | 12:30 PM | Rule 3 |
| 13:00 | 1:00 PM | Rule 4 |
| 15:30 | 3:30 PM | Rule 4 |
| 18:45 | 6:45 PM | Rule 4 |
| 20:45 | 8:45 PM | Rule 4 |
| 23:59 | 11:59 PM | Rule 4 |
The Reverse: 12-Hour to 24-Hour
You'll need this too. Same logic, inverted.
AM hours:
- 12:XX AM → 00:XX (midnight exception)
- 1:00 AM – 11:59 AM → 01:00 – 11:59 (add leading zero if single digit)
PM hours:
- 12:XX PM → 12:XX (noon exception)
- 1:00 PM – 11:59 PM → 13:00 – 23:59 (add 12)
Examples:
- 12:00 AM → 00:00
- 6:30 AM → 06:30
- 12:15 PM → 12:15
- 8:45 PM → 20:45
- 11:59 PM → 23:59
Where You'll Actually Use This
Travel: European train schedules, flight boards, hotel check-in times.
Work: International meetings, UTC timestamps in logs, API responses, database records.
Tech: Cron jobs, server logs, JSON timestamps, Git commit times.
Health: Medication schedules, shift handovers, appointment systems.
Daily life: Smart home automations, 24-hour clock settings on phones/ovens/cars, military time in games.
One Last Trap: "12 AM" and "12 PM" Are Backwards Intuitively
Midnight is 12 AM. Noon is 12 PM.
Mnemonic: AM = After Midnight (so 12 AM *is
the very start of the day) and PM = Past Midday.
Wait, that's a bit confusing. Let's try this instead: AM = Ante Meridiem (Before Midday) and PM = Post Meridiem (After Midday).
Since 12:00 is the exact moment of midday, it acts as the dividing line. 12:01 AM is the first minute after* midnight, and 12:01 PM is the first minute after* noon.
Summary Checklist
If you are ever stuck, run through this mental checklist:
- Is it 00:XX? It’s 12:XX AM (Midnight).
- Is it 01:XX through 11:XX? It’s just AM.
- Is it 12:XX? If it's PM, it's Noon. If it's AM, it's Midnight.
- Is it 13:XX through 23:XX? Subtract 12 and it's PM.
Conclusion
Mastering the 24-hour clock isn't about becoming a math genius; it's about recognizing the patterns. Once you stop seeing "20:45" as a math problem and start seeing it as "8:45 PM," you'll work through international flights, coding scripts, and global schedules with total confidence.
The system is rigid, logical, and—once you've learned the four rules—completely foolproof. No more confusion, no more missed trains, and no more "wait, was that morning or night?" moments. You are now officially synchronized with the world.
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