Some facilities note degrees on your name badge. Others simply note your designation: RN, for example. It usually only comes up in casual conversation with fellow nurses. I've never actually heard a nurse ask anyone else what type of degree he or she has.
And no, it's not important to me whether anyone knows my degree, nor does it matter to me what anyone else's degree is. We're all RN's.
When you work with people you tend to talk about things like where you went to school. When I tell people where I went to school, they can figure out that I have a BSN. My hospital also denoted "RN, BSN" on the name badges of nurses who had their BSNs. I did know what degrees most of my coworkers had as well as any certifications (like CPN, CPON, etc) because those were listed on their badges as well.
Yes, they knew. There were a myriad of ways for them to figure it out. I was a huge fan of my alma mater team , season ticket holder and booster, and that University doesn't award ASN degrees, so duh. Only BSNs could work up the clinical ladder, only BSNs could be in charge, etc. And then of course I worked several places that would never have hired an ADN, so we all knew that we were all BSNs at a minimum. And if there was any doubt, we could always read it one another's badges. There were several MSNs on staff, so we lowly BSNs didn't get too big for our britches, .
It is on our name tags. Most of the ADNs are in school for a BSN, myself included. But most of us don't care. Tbh, the LPNs where I work have been there forever and some of us have no issues asking their advice/opinions.