Removes ADP-ribose from aspartate and glutamate residues in proteins bearing a single ADP-ribose moiety. Inactive towards proteins bearing poly-ADP-ribose. Deacetylates O-acetyl-ADP ribose, a signaling molecule generated by the deacetylation of acetylated lysine residues in histones and other proteins. 2''-O-acetyl-ADP-D-ribose + H2O = acetate + ADP-D-ribose + H(+) 4-O-(ADP-D-ribosyl)-L-aspartyl-[protein] + H2O = ADP-D-ribose + H(+) + L-aspartyl-[protein] 5-O-(ADP-D-ribosyl)-L-glutamyl-[protein] + H2O = ADP-D-ribose + H(+) + L-glutamyl-[protein] alpha-NAD(+) + H2O = ADP-D-ribose + H(+) + nicotinamide Subject to product inhibition by ADP-ribose. Recruited to DNA lesions, probably via mono-APD-ribosylated proteins.