I am confident you can. Don't know if you bought the 1100d with a lit lenses but if you did, this lense would probably be a significant improvement. It's also pretty versatile as a short telephoto for portraits and keeping a reasonable distance for macro work. Great quality for both. 😃
As far as I know the EF lenses will fit all canon EOS cameras, including full frame sensor cameras. Only slight problem, on the smaller sensor cameras(XXD XXXD etc) the EF lenses focal length needs to be multiplied by a factor according to sensor size. On a 40D I think the factor is 1.6 making a 60mm lens a 96mm. The EF-S lens will only fit cameras from 40D downwards as the EF-S lenses sticks out more at the bayonet fitting end. Therefore the EF-S lenses will fit the 650D. EF-S lenses cannot fit the full frame sensor lenses as the mirror gets in the way as well as it will not cover all the sensor properly. EF-S lenses are made for the smaller sensor cameras.