Digital clock mathemathics

If you’re like me, you definitely have such a digital clock somewhere in your house, most probably near your bed.

digitalclock

Ever wondered what is the maximum number of segments of the clock that are used at a certain hour? And what time is it then?

I did… and here is how I count them.

I wrote a Perl script that calculates the number of segments of each hour and each minute: 24h x 60 min.

Each number has maximum 7 segments. This would be the number 8.

Here is the number of segments for each digit 0..9 : 6,2,5,5,4,5,6,3,7,6;

Important rules:

  • The midnight time is the only exception when we have 00:xy
  • the hour can be a single digit (1..9), but the minute will always be two digits. The minutes below 10 will be prefixed with 0.
  • the 00:00 is the only time when we have 0X
    • For example, 11 minutes after 1 AM is 1:11 and not 01:11

It turns out that the maximum amount of segments is 25 and the time is 8 minutes after midnight.

The second place is with 24 segments.

Max digits: 24 at 00:00
Max digits: 24 at 00:06
Max digits: 25 at 00:08
Final Max digits: 25 at 00:08

 

Minimum segments:

6 segments at 1:11

Note: this assumes that we use 24h numbering and not AM / PM numbering.

I will make the same calculation with AM/PM. But this is for another post.

 

If someone wants the Perl script, I can make it available on request.

 

More details

Segments  – Time

24 at 00:00
Max digits: 24 at 00:00
20 at 00:01
23 at 00:02
23 at 00:03
22 at 00:04
23 at 00:05
24 at 00:06
Max digits: 24 at 00:06
21 at 00:07
25 at 00:08
Max digits: 25 at 00:08
24 at 00:09
20 at 00:10
16 at 00:11
19 at 00:12
19 at 00:13
18 at 00:14
19 at 00:15
20 at 00:16
17 at 00:17
21 at 00:18
20 at 00:19
23 at 00:20
19 at 00:21
22 at 00:22
22 at 00:23
21 at 00:24
22 at 00:25
23 at 00:26
20 at 00:27
24 at 00:28
23 at 00:29
23 at 00:30
19 at 00:31
22 at 00:32
22 at 00:33
21 at 00:34
22 at 00:35
23 at 00:36
20 at 00:37
24 at 00:38
23 at 00:39

19 at 23:43
18 at 23:44
19 at 23:45
20 at 23:46
17 at 23:47
21 at 23:48
20 at 23:49
21 at 23:50
17 at 23:51
20 at 23:52
20 at 23:53
19 at 23:54
20 at 23:55
21 at 23:56
18 at 23:57
22 at 23:58
21 at 23:59
Final Max digits: 25 at 00:08

 

 


© Copyright 2016 Sorin Mustaca, All rights Reserved. Written For: Sorin Mustaca on Cybersecurity

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About the Author

Sorin Mustaca

Sorin Mustaca, (ISC)2 CSSLP, CompTIA Security+ and Project+, is working since year 2000 in the IT Security industry and worked between 2003-2014 for Avira as Product Manager for the known products used by over 100 million users world-wide. Today he is an independent IT Security Consultant focusing on Cybersecurity, secure software development and security for IoT and Automotive. He is also running his personal blog Sorin Mustaca on Cybersecurity and is the author of the free eBook Improve your security .

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