Router and free cable

I have just the 16mbps internet internet connection threw comcast in florida.,and didnt order the cable t.v..but the cable is on and if I connected with a cable I could have free cable in my room.question is .in my room Im connected to the router threw a netgear wn111v2 and antenna.I have a feeling that it is some how possible to pick up the comcast cable from the router and move the signal to my t.v. In my room.the t.v. In my room is on the new digital converter to pick up digital signals.it seems to have unknow potential I have not tapped into yet.is a router signal a digital signal???I want to catch the signal from the router to my computer then broadcast it to my t.v. Via the digital reciever.can it be done .???if not maybe someone needs to invent this.I just cant run a cable to my room,so Im looking from a wireless measure.thanks.