Down load iOS 6 - Apple iPad 2 Wifi 16GB

there are some core apps belonging to the iOS system and cannot be deleted like 'clock', 'calendar', 'contacts', 'facebook' etc.
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core apps:
1) Airdrop
2) Apple Store
3) calendar
4) camera
5) clock
6) contacts
7) facebook
8) game center
9) iBooks
10) iTunes
11) mail
12) maps
13) messages
14) music
15) newsstand
16) notes
17) photo booth
18) photos
19) reminders
20) safari
21) settings
22) siri
23) tips
24) touch ID
25) videos

no
- if you have an Ipad first gen. it is impossible to update to iOS 6 as it is not compatible. First gen iPad not getting iOS 6 update Apple confirms

iOs 6 is not compatible with the first gen iPad:
Apple iOS 6 Finally Available for Download Direct Download Link Download Apple iOS 6

on a 1.gen. pad it is impossible to install iOS6:
this model supports only iOS 5 !
- NO iOS 6/7/8
- the processor is too slow....
For the iPad first generation (A1219) before iOS 5 to update to iOS 5 is only possible with connecting the device to iTunes on a computer. Plug it into your computer and open up itunes under devices click on your ipad and then click on check for update.
- but this model supports only iOS 5
- NO iOS 6/7/8 !

depends on the model of your iPad:
For the iPad first generation (A1219) to update is only possible with connecting the device to iTunes on a computer.
- but this model supports only iOS 5 - NO iOS 6/7/8
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for all other models:
There are two ways to upgrade the iOS version of your iPhone, iPad, or iPod Touch - via connecting the device to iTunes on a computer
- or directly from within the device, but only snce iOS 5, it is possible to upgrade the iOS version without the need to connect the iOS device to a computer (over-the-air update)
just go to: settings - general - software update

The original iPad 1 can't upgrade to iOS 6 unless you jailbreak it. I've attached a link to help you through the process. Hello iOS 6 goodbye iPad 1 Inject new life by jailbreaking it

on a iPad 1.gen. iOS 6 is impossible:
this model supports only iOS 5 !
- NO iOS 6/7/8
- the processor is too slow....
For the iPad first generation (A1219) before iOS 5 to update is only possible with connecting the device to iTunes on a computer. Plug it into your computer and open up itunes under devices click on your ipad and then click on check for update.
- but this model supports only iOS 5
- NO iOS 6/7/8 !

on a 1.gen. iPad it is impossible to install iOS 6 !
this model supports only iOS 5 !
- NO iOS 6/7/8
- the processor is too slow....
For the iPad first generation (A1219) before iOS 5 to update is only possible with connecting the device to iTunes on a computer. Plug it into your computer and open up itunes under devices click on your ipad and then click on check for update.
- but this model supports only iOS 5
- NO iOS 6/7/8 !

Unfortunately, You can not downgrade from iOS7 to iOS6. You can read more about it from the link
http://www.iphonehacks.com/2013/09/cannot-downgrade-ios-7-ios-6-1-3-ios-6-1-4.html
Apple sucks this way.