I don't call 1200 calories a day binging, even though you are eating these 1200 calories in one sitting! Binging is more 5000+ calories in one sitting? Maybe you think you are binging but you may just be feeding your body what it needs? Are you gaining weight?
Like others have said here, the hardest part of fasting is controling what you eat right after the fast, because your mind wants to eat everything in sight. If you have an eating disorder fasting could make it worse.