Donepezil is an acetylcholinesterase inhibitor which slows the degradation of synaptic acetylcholine thereby increasing its availability. It is approved for the treatment of mild-moderate Alzheimer's disease. It has been studied in several other neurologic disorders--including vascular dementia, Lewy Body dementia, and Down's syndrome (with and without dementia)--where it has shown varying degrees of efficacy but consistently high degrees of safety and tolerability. The goal of the proposed study is to determine if enhancing cholinergic activity with donepezil has beneficial effects on behavior or cognition in subjects with fragile X syndrome.