New acquisition -- Score! Oh wait, what do I do about THIS? Help a novice, please.  

The cabinet maker puts the pencil V on the back during construction so that the drawers can be removed for other steps of construction and returned to the order they were first put in. It isn't really for the customer per se. 
This can be important for various reasons: the drawer slides are installed in just the right place for each drawer so that the alignment is perfect. (A different drawer will likely not align perfectly on those slides).  The veneer across the drawers may be in sequence. The drawers may be different heights. 

My small one has a still-visible pencil V lining up the drawers, but the pencil on the large one is mostly faded. I could only discern it on two of the eight drawers. However, they also stamped each drawer with the number 8, as you can see in the last two photos, and I realized while looking for the pencil marks that these line up, too, in a V shape. This was extremely helpful as the drawers were all out of whack. 

Does anyone know the width of those legs? I found a place ( table legs online) that sells many different legs, metal as well as some relatively decent-looking wood options, and they come in different widths. I know I need about 8" height but not sure how thick the legs are. Thanks!

Maybe if you or someone can help you figure out a least intrusive way not to damage the cabinet and mount the piece on the wall and make it float above the floor that is if you own the walls of your house.

Just go get legs made. Spend the money. It won't be more than a few hundred. The cabinets retail for around 4k and up. The credenzas seem more common than the bedroom sets. Just do it and have something nice in your house.
Thanks for explaining the V. The reason I ask is that I have these cabinets and the last drawer is just off by about an 1/16 of an inch and catches slightly at the last moment. You kind of have to give it a bit of a lift near the end of the push in. Thought I might have them in wrong. I checked and the drawers are in the right alignment. Oddly the end of the V in the last drawer only has one side to it and is barely visible. Somewhere in the world there is probably another Vodder cabinet with the end of the pencil v that matches mine, but for now...just living with it's otherwise flawless gorgeousness.

For the record-I have the same cabinet with wood legs. The back of all of my drawers say No. 9, not 8. Wondering if that does indeed mean it was the cabinet with the other style of legs.

Interesting, but I don't think the numbers are necessarily just about the type of piece, since I saw another just like mine (on here, actually) with a different number. Check out this thread:
http://www.designaddict.com/forum/General-discussion/need-help-identifyi...
I will consider getting a new base made as well. I see your point! Hmm, a lot to mull over. This is a good kind of problem to have!

I believe those numbers on the backs of the drawers are likely the craftsman's assigned factory number.