What is Analog TV v. Digital TV?
Analog TV is the transmission of TV signals by electromagnetic waves. This is how TV started, until other means of transmission such as cable and satellite.
Digital TV transmits the signal digitally like computer code - a series of 1sand 0s. It takes up much less bandwith so a lot more information can be packed into the signal: better definition, better sound, parallel programming.
Do I have to throw out my old TV?
No. Your old TV will still work.
BUT
you will need a receiver that can translate the digital signal to a form that your analog TV understands: and
you will not enjoy all the benefits of the digital signal; and
you may need a set-top box on each of your TVs.
SD? SDW?
SD = Standard definition, same as your old TV. The screen is almost square shaped.
SDW = Standatrd definition, Widescreen. Digital TVs are rectangular and the signal is broadcast to fit a rectangle whose sides are in a ratio of 16:9. (If the screen is 16" wide, it is 9" deep: if 32", then 18" etc.) SDW will show the program in a "letterbox" on your square screen with black areas above and below.