Talking vs dating

So I’m in college, and I met this guy through a mutual friend and we became friends and he asked me on a date and we went out and we were like talking. He kept telling me he really wanted to date me. So eventually he said can we be exclusive and I was like oh yeah. So then finally we had a convo the other day and we were like ok we’re officially dating. But now I’m sitting here thinking, this might be a dumb question, is he my boyfriend?