No OS stated by you, Windows XP,Vista, 7,8 or 10, ?
is the OS same as new?/?
save version?????????????????????????????????????
HP tells me it came with W7 64bit, tell me its not W10 now.




the F11 key, that way, you need to tell how you did that.
what method (there is not just one method)
the F11 key full recover takes a good HDD,
we do the hdd tests first.
or its all just a waste of time.
DV7 is old. so what do techs do old.
1: new coin cell, is yours 10 years old, and hopeless.....??????
2: main battery out do not do what you did with the Main huge bad battery installed use only the AC power pack to run now.
3: vents clean if the PC overheats how can it reInstall OS ? cant.
see slide show for LapTops. if packed it will overheat and fail.!!!
http://pcdied.com/overheated.html
4; we test the HDD next using linux. (free if you have blank CD or Thumbdrive. do the smart tests then the full drive test.
http://pcdied.com/linux.html

5: ok the HDD is bad, new HDD and buy new OS yours is gone.
6:ok HDD was good , but F11 is messed up only.
if F11 is messed up that means the HDD was slammed.
that means (alien OS installed or using wrong media, not from HP)
If someone damaged the HP C:/recovery partition , then F11 is doomed. for sure.

http://pcdied.com/slammed.html


lets say you didnt buy the recover disk when new from HP
and now HP does not sell them this old, yup they dont.
see 9 ways to get the OS here.

http://www.pcdied.com/HP-OS-GET.html

last. lets say the OS is gone,or HDD bad or replaced and you bought a new OS install disk, say W7
then what,?
well the HP drivers is what. or w7 will not have them all .
here they are for free
from your official HP support page



https://support.hp.com/us-en/drivers/selfservice/hp-pavilion-dv7-4100-entertainment-notebook-pc-series/4247665/model/4308420