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late 14c., from Old French digestif (14c.), from Late Latin digestivus "pertaining to digestion," from past participle stem of Latin digerere (see digest (n.)). From 1530s as an adjective. The noun in the French form digestif is attested from 1908.
digestive di·ges·tive (dī-jěs'tĭv, dĭ-)
Of or relating to digestion. n.