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tonyc_76: "Next comes from the result of (11<<1)++"
The Wolfram clue is the first step. It tells you that that particular code is a programming code for (bitshift the number 11 leftward by one)++. The problem is that Wolfram does not understand what ++ means and thus ignores it. Try putting (11<<1) on Wolfram and compare it with (11<<1)++. You will find that Wolfram erroneously give the same answer for both. The bitshifting left by 1 is basically "multiple the number by 2". So you get 22, and that's what Wolfram tells you. However, the ++ part adds 1 to that, so the answer is actually 23. I figured this out by googling what bitshift meant, then doing the math manually myself, and discovering that well, Wolfram was incomplete.
Crap. I worked on this bit-shifting one for awhile and all I came up with for an answer was 11. I thought the 11 was binary so I bit-shifted to 10 (dropping the leading 1 since I was looking for 2 characters in the game code so I thought we were only working with 2 bits) and then 10++ is 11. Then I thought, "maybe the 11 is decimal", so 11 is 1011 in binary, bit shifted to 10110, and then incremented to 10111. And, again, I only needed 2 chars in the code so I just took the rightmost 2 bits = 11. It never occurred to me to keep everything and then maybe in the end you'd end up with a 2-digit decimal number.

Oh well. Thanks for the explanation. And thanks for the giveaway, Ipopman.
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tonyc_76: I think y'all figured out the rest.
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Nirth: Nope.
In "dearth" but not in "earth" - the letter D
There's a character in Star Trek: Voyager named "Seven of Nine"
2D games before 3D games (duh)
A baker's dozen is 13, (13-1)/2 = 6
The author of the Harry Potter series (well, her pen name, at least) is Joanne Kathleen Rowling, so "JK".
"X marks the spot" is an adventure fiction cliche (the location of the treasure on treasure maps), also a colloquial phrase.
Gully dwarves are a fictional race in the Dragonlance setting. They use the numerals "one" and "two" (I'd dispute that, though - if your word for "more than two" is the same as for "two", you can actually count to one - but that's what the books say); once you googled the setting, it's googleable via "gully dwarf dragonlance".
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Starmaker: snip
Thank you!
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Nirth: I concur.
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tonyc_76: Oh fine. DH23-9NPN-2DK6-JKX2

The one remaining game is Fallout. I think the only reason it's left there is because everyone already have it, so hopefully I didn't a horrible wrong to lpopman
I redeemed Fallout from the code. Hope nobody minds? I messed up on the bitshift question, so when I tried to brute force the "eye" question, it gave me invalid code every time. Oh well.

Thanks for the puzzle lpopman. I enjoy these kinds of giveaways, even though I'm not very good at them.
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tonyc_76: "My second comes from somewhere immediately below the eye"
Most people will think that this is a trick question and assume that the eye actually meant the letter I.
For me, that is exactly what I thought. But I interpreted the meaning of "immediately below" to be preceding, and H is immediately before I.

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tonyc_76: "Next comes from the result of (11<<1)++"
The Wolfram clue is the first step. It tells you that that particular code is a programming code for (bitshift the number 11 leftward by one)++.
I went directly to C++ where << is bitshift left and ++ is adding one. I guess these operators are used in various languages.