How to change the taskbar clock without affecting the file properties

I noticed that when within Windows Explorer or within files Properties I could no longer see the complete date of a file, Last modified, last viewed etc. --what was missing was the year. Then I recalled having changed how the clock on the task bar displays time--which does not show the year. I wondered if this was the reason why the year was no longer visible in Explorer or within file properties. Lo and behold I was correct. Arrg! Why should one effect the other? I do not need to see what year this is on my task bar, I would hope my sanity knows this. However, I would like to know when a file was modified or what have you. Is it possible to change one (task bar clock) without effecting all else?
Thank you

Hi Brink. Your link is, "Date Format for Taskbar System Tray". Thanks a lot for wanting to help but I think you understood the opposite of what I asked. I said, "'I do not need to see what year this is on my task bar." What I meant is I have no interest whatsoever in seeing the year in the task bar--nor do I understand why anyone else would need to see it either. What i want is to see it everywhere else but not in the taskbar. See it in Explorer and see it in File Properties. In Windows Explorer (or in file Properties) this is useful because you may want to know the complete date of when a file was created or modified. You may want it there also because you may want to organize them according to the complete date. Without the year all 'Aprils', for ex. would be grouped together regardless of their year. The taskbar clock is helpful because you may want to know what time it is now, or what day of the week is today or the date. But do you really need to ask yourself, "Oh what year is today?" I doubt it. Hence why NO for year on the task bar and YES for everywhere else. Once again thanks.

I like to see letters for the day of the week and for the day of the month, like you do. The problem is, the file properties, as well as Explorer, for some reason chooses whatever you put on the 'short date' as it's default (not what you put on the long date). So even if you have the year in the long date, you won't see the year on explorer/properties.
I don't like seeing this '09/29/2013' on my task bar. I want to see this: Sat Jan 25
And elsewhere I want to see either '09/29/2013 ' as above or 'Jan 29 2013'
Actually If you do NOT place the year in the short date and DO place it on the long date I have no clue as to where one can see the long date at this point. I checked everywhere and can't find it. It seems to me this part is useless.

sorry 4got to do so last time (idiot me).
You'll note how 'Long Date" does have the year but shows it nowhere, as indicated by all 5 red arrows.
it also shows you how in short date there is 'ddd' for day of the week, and it is in fact this that is showing--hence my having concluded that the opposite is happening--file properties are actually showing the short date and not the long date

Hi, Isn't interesting how we often think we are speaking the same 'language' but in fact we aren't? And by this I don't mean we are both speaking English.
I am stunned as to how nobody, including Microsoft, has not noticed this. For I think I truly see no reason why anyone would like to see what year this is now, today, while obviously most of us would want to see what year anything was created in--in other words file properties should take on the long format while the task bar should be able to take on the short format.
OK now that we have this settled, I guess this would take me back to my original question, does it not?--How do I get the year everywhere but the task bar?