I am not sure what you mean by your statement "you don''t get binary collections." Depends on your definitions of "Collections" is.
I note also that the statement only ask about people who "understand" binary. Not who "directly" use it.
I do admit that binary has limited direct personal usage for most people as they do not directly work in binary. However, everyone on this site is using tools that use binary (digital computers - the ones everyones use for PC''s and for web servers - operates in binary). So even if we don''t understand it - we use it. It is usually masked by user frendly programs that do not require people to know or understand it (or even know it is there).
I am probably one of the few people who built what would not be considered a very crude computer and programmed it in binary (decades ago: but back then it was "hot").
Hope this helps; (but I am sure some are confused).
Ummm, the only reason I get it is because hubby is a programmer! He has a coworker with a binary clock, and another who wrote a program that counts down to 5pm in binary (I think it''s in binary) - veeeeeerrrry techie.
I disagree that the binary 10 represents 3 binary states.
I would agree that it is the third binary state (i.e: it is the third state, but does not represent all the previous binary states: that would be like saying that the decimal number 9 is also 8, 7, 6, 5, 4, 3, 2, and 1 - not logical)
00 being the first (representing decimal "0")
01 being the secon (representing decimal "1")
10 being the third (representing decimal "2")
My memory of binary collections is faint (and sketchy) so I will accept your explainations. Also, it has nothing to do with the "joke."