Re:ILLIAC I Programming Manual (1956) [pdf]
by acqq on Monday May 12, 2014 @04:00AM
(#7731595)
The info you quote is a description and not the answer. The whole alphabet is on the page 9-5. I still don't know why there isn't some "order" in encoding (like it is now in ASCII, that would still result in the encoding for 10 to be A and not K. and it's not a USTTY http://en.wikipedia.org/wiki/Baudot_code there is K == 01111) but I'd expect they must have had some reason.
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It looks like they took the ITA2 telegraphy code, which has the numbers in normal order but the letters in typewriter order, and re-sorted it so that the letters are alphabetical. That would explain the scrambled numbers, but not the punctuation or "K S N J F L".