In Fallout 1 can your companions who use guns run out of ammunition?

While I have been playing the game I realized that the first Companion you have a chance to get(Ian) started using unarmed strikes as opposed to his pistole. Did he run out of ammo? should I give him more, or will it be a waste?

I would also like to know If you give a companion better armor, will they use it?

Thanks.