In the format of A.B. Name, which is the given name and which is the family name?
In English, names are usually written in the format:
[First given name] [family name], e.g.
John O'Reilly
Sometimes they are written:
[First given name] [other given names] [family name], e.g.
John Timothy O'Reilly
When using initials, it is the same, e.g.
J. O'Reilly, or
J.T. O'Reilly
But it is also very common, in certain situations, e.g. school roll (high school, university tutorial list etc.) to put the family name first, but this is posted with a comma, e.g.
O'Reilly, John Timothy
And in other places, e.g. an index, it is done with initials instead, also with a comma:
O'Reilly, J.T.
When doing three letters in a row, it is almost always the given name first, then the family name, e.g.
JTO
For John T. O'Reilly (that's another common way to write names).
Bill Gates' TLA (three letter acronym) would be:
BHG
In English, the family name is always given last (except in the case of transliterated names which confuse many people).
In your example, "Bill" and "Henry" are his two given names; if you used only one given name, it would be the first one, "Bill". "Gates" is his family name.
Thus, the following are correct:
- Bill H. Gates
- B. H. Gates
- B. Gates
- BHG
- Bill Gates
- B. Henry Gates (rare unless the person in question has made it clear that this is his preference)
And all the others are incorrect.
I think perhaps you're confusing monograms with initials.
Initials are always listed in the same order as they would appear in the name: the initials of William Henry Gates are WHG, the initials of Bill Gates are BG, etc.
Monograms, on the other hand, combine the initials in an aesthetically-pleasing way. A common method is to put the last name's initial in the middle, and the first & middle names on the left and right, respectively. Almost always, the last initial (the one in the middle) is larger than the other two. The monogram of William Henry Gates could thus look something like: