Don't listen to any of the advice above. You don't need a bore sighter and you don't need different rings or bases (most likely). Most likely it's a very simple solution.
Unless you have a 70+ MOA in your base/ring setup, you should be able to get zeroed at 100m/yards no problem.
Do this (even when mounting a new scope, do the below and you can be zeroed in 5 shots or less):
1. Go to the 100 yard or 100m range.
2. Pull out the bolt, and set your scope on the target. Without moving the gun, look through the bore. You should be able to see the target, if not adjust the scope so you see the target through the scope and the bore. No bore sighting tools needed.
3. Shoot and see where you are on paper. Adjust accordingly.
If you still are too high and run out of elevation on the bottom end:
1. Measure how high the bullet impacts are from your aiming point in mils or MOA (whatever your scope reticle is).
2. Say it's 4 mils high. Set your zero stop so that it your turret is at "4.0" mils (or add in slightly more elevation, say 4.5 to be safe).
3. You should now be able to go down 4.0 mils (or whatever value you set the turret to). Turn turret to "0".
4. Shoot again, your impact should now be 4.0 mils lower.
5. Repeat any of the above steps as necessary
I've had to do the above with some of my scopes out of the box. Not a big deal, but can be a bit confusing if you haven't had to do it before.