The first thing to be remembered in relation to Hazrat Uthman (ra) is that he did not personally take part in the Battle of Badr. However, he was among those eight fortunate companions who were given a portion of the spoils of war by the Holy Prophet (sa) and were, as such, considered to have taken part in the battle.
His name was Uthman bin Affan bin Ab-il-As bin Umayyah bin Abd Shams bin Abd Manaf bin Qusayy bin Kilab. As such, his ancestry connects to the Holy Prophet (sa) in the fifth generation through Abd Manaf.