Synonyms for Dopy:

adj.

drowsy (adjective)
tired, dozy.

n.

dopy (noun)
foolish, goosy, dopey, anserine, gooselike, fool, goosey.
tired (noun)
fatigued, drowsy, sleepy, run down, on your last legs, all in, weary, tired, exhausted, dozy.

Other synonyms:

Other relevant words:
fatigued, weary, drowsy, dozy, sleepy, exhausted, tired.