itoi

I picked up the Samsung 19" BW LCD last week. It is working real well, have it hooked to an IBM Think Pad T43. Circuit City had best price at the time. I'm not sure I have it hooked up right. I attached the Analog cable, but not the Digital cable. Anyone know if I should hook up both cables to one machine or does the different cables allow me to hook up the single monitor to 2 computers? ie. use Digital on 1 the IBM Think Pad and Analog on an older Gateway? Appreciate any advice.