Will RG-59 Cable Work?

Ok well in my house, I have RG-59 coming into a 4 way digital splitter, and then RG-6 cable going up to my room and the home theater room where i have an HDTV in my room and normal tv in home theater room. The other two rooms have RG-59 going to them. My question is will the RG-59 coming into the house be good enough to carry a digital HD signal to the HDTV and a 3 regular og signals to the other 3 tvs?