Meanwhile, the sunlike star aged in the normal way, eventually swelling, blowing off its outer layers and collapsing to the white hot ember known as a White Dwarf star.
At that distance, a sunlike star is visible through binoculars.
It involves pointing a radio receiver at a candidate star (one that is sunlike and not too far away) and listening for some sort of steady signal - an alien radio broadcast, on all the time.
The binary star system consists of two white dwarfs—the burnt-out cores of sunlike stars.