weary vs run down

weary is an adjective but run down is not an adjective.

Word	Noun	Adjective	Verb	Adverb
weary	No	Yes	Yes	No
run down	No	No	Yes	No

As verbs, run down is a hyponym of weary; that is, run down is a word with a more specific, narrower meaning than weary:

Other hyponyms of weary include conk out, peter out, poop out, run out, retire, withdraw.

weary (adjective)	run down (adjective)
physically and mentally fatigued

weary (verb)	run down (verb)
exhaust or get tired through overuse or great strain or stress	use up all one's strength and energy and stop working
lose interest or become bored with something or somebody	injure or kill by knocking (someone or something) down and passing over the body, as with a vehicle
	pursue until captured
	move downward
	examine hastily
	deplete
	trace