It is somewhat disconcerting, isn't it?
I bought a new digital scale,too, about 6 weeks ago --- if I use my old analog scale, then I'm 5 lbs less than what I show on the new digital one (and I would be 30 lbs down already, dagnabit!).
I'm going with the same thought process that you are though - as long as there is a general downward trend, then the actual number doesn't really matter. Besides, I fluctuate between 5 and 7 lbs per day (I spent a few days weighing at all different times, just out of curiousity) so there's no point in me worrying about one number. I'm sure liking the trend, though!
I hope you like the ease of reading on the digital as much as I do - it's soooo much easier to see!