LOL LOL First, I just had to chuckle at the use of "bits".

Most vets do the full castration, which is the procedure where they remove the testicles. I have heard of the vasectomy procedure as well, where they snip the pipes and basically the "bits" just kind of shrivel up, but are left inside the sacks.

I believe some vets may offer both procedures, so you may just want to ask your vet which surgery was performed?

I worked at a vet hospital for the past year, and I only ever saw the castration done. I don't even think we offer the other alternative.
On that note, I just have to say that I had no idea how it was done and was a bit shocked at how fast it was!! It's a 5 minute (tops) procedure! I also always thought they got stitches, but they don't! Basically, the cat is knocked out via a sedative intravenously. Most surgeries require the tube down the throat and all of that, but not for neuters since they're so quick. They shave the area, make a small incision, pull the testicles out and cut and tie them off and repeat for the other side. That's it!