Some minor amplifications for the Sperry side.
Exec II was long gone by the time of the merger. It was probably
totally gone by the 1970s.
Exec 8, OS/1100 and OS/2200 are the same product at different points in
time. Originally developed for the 1108 (hence the name) Exec 8 was the
name from initial development in the 1960s till the late 1970s.
At that time, Sperry decided to rename their processor line from four
digits with the first two being 11 (i.e. 1108, 1106, 1110), to the "1100
Series". This was mostly renaming (but did add semiconductor memory).
For example the 1106 became the 1100/10, the 1110 became the 1100/40.
At that time, the OS was renamed OS1100. But it was the same basic
product as Exec 8 (albeit with new features added).
As time went on, and they added new models, they again ran out of "name
space". So they decided to once again rename things so the 1100 series
became the 2200 series, and OS1100 became OS2200.