The previous poster has given you some great advice. You don't have to stick to the lower end of your recommended calorie range all the time, especially if you're hungry. And if you're exercising, you should be eating more than 1200 calories anyway.
Eating some healthy fat and/or protein with every meal (making sure you're getting enough overall each day), as well as adequate fiber intake both help with feelings of fullness. Also consider dividing your meals into mini-meals throughout the day so that you never go too long in between eating.
Hope that helps,
"You may have a fresh start any moment you choose, for this thing that we call "failure" is not the falling down but the staying down." Mary Pickford
"No matter how slow you go, you are still lapping everybody on the couch."