So is it alive, or not? How do you know?
Being alive and being conscious are two different things. The problem comes from the definition of life; it's either falls too short or goes too far. On the one had, it doesn't include viruses and some forms of intracellular parasites, and on the other, it includes things like fire, and self replicating RNA. I'd say, no, a computer isn't 'alive' in the sense we use it. It doesn't replicate, it doesn't undergo any cell processes, it doesn't undergo respiration, etc.
It is, however, conscious.