Your customers don't have to understand your name. Your customers don't have to understand your logo. Your customers do have to remember both. To make it easier to remember you'll typically make a logo that relates to the name.
The most important thing though is that its memorable. Any reasoning behind it quite honestly doesn't matter.
A mentor of mine ...
Do my potential customers need to understand the “meaning” of a logo?
If a 100% understanding is not achieved graphically, at least it should have a hint of the meaning.
Do my potential customers need to recognize my logo?
As in everything, I think it's about reaching a balance, if it turns in favor of one of the two options, much better for ...
Yes, customers need to understand a logo, especially with a new first-contact, never-seen-this-before logo. They will — in time — recognize it after seeing it repeatedly, but it still needs to make sense for anyone looking at it for the first time. Some possible reactions looking at your "idea":
is this really a "b"?
does it look like a "ten"?
where's the "...
Okay I'll supply my short, image free, answer ... :)
No, it is not inherently bad if the underlying meaning of any logo is not picked up on in a conscious manner.
Logos don't have to consciously convey anything... it's all about subconscious interpretation. As long as the impression the logo makes is favorable, it makes absolutely no difference that ...
You're making a common novice mistake. Trying to be clever and not having the execution skills to follow through. You also don't need a symbol for such a short name, and the 1 in the symbol for a company which actually has a 2 in the name is begging for confusion.
A word mark would be the best approach, so just spell out 2-bit in Helvetica XBold and be done ...
So if you're going to do drawings of heads or hats, or anything else representative of people, it needs to be 2 of them.
Magnifying glass is wrong for social media marketing. It's micro, whereas social media marketing is macro.
Pen nib is wrong. Too narrow.
The hats ideas show most promise, and are the best analogy, because a social media ...