Am I addicted to caffeine?

I drink a lot of coffee, usually three or four cups a day. Usually my routine is something like:

1 cup of decaf for my drive to work.

1 cup of regular coffee with lunch.

1 cup of regular coffee driving home from work.

1 cup of decaf after dinner in the evening.

I read even decaf still has something like 3% caffeine content some of the time. The caffeine does not agree with my bowels (sorry for the details you didn't want) and so I know I should cut back on it to perhaps one or two cups per day. The thing is, I can't.

I thoroughly enjoy a cup of coffee (or four) every single day. I know it would be so hard to cut back on it because it is the best part of my day. I've heard people who are addicted to caffeine experience things like headaches, irritability, etc. when they don't get their 'fix.' I've never experience that.

Am I addicted to caffeine?