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For being hexadecimal 314086807350 looks like a "special" code though, since there is no 2 or 9 neither are there are any letters, A, B, C, D, E or F present.
But if we simply asume it is valid hexadecimal number, with each figure being an hexdigit or hexit, values represented from 0 to F.
Then there is a technique to add a check sum, I do not know where it is supposed to go. At the left (*a* it is 31) or at the right (*b* is it 50)
Acording to Wikipedia the calculation of the hexadecimal check sum requires several steps:
1) Add the hexadecimal digits
*a* 31+40+86+80+73 = 1EA
*b* 40+86+80+73+50 = 209
here we did hexadecimal arithmetic and the couple of 8 and absence of letters helped!
2) dropping the carry nibble, always a simple operation
3) get its two's complement EDIT this line was missing in the original post sorry
*a* becomes EA <> 50
*b* becomes 09 <> 31
so the senidenary check sum is NOT correct in any case.

So even if we do not know in which case, *a* or *b* we are, we have to ask the Central Processing Unit to send the code again since we have received an invalid information (here is my favorite part: because there might be some malfunction in the Multiplexor, or some digital compenent, or some magnetic field distorted the code during the transmition, or some virus got its hand on it or a bug in the software created an invalid code or... or...) whatever the cause, no Arithmetic and Logic Unit would ever accept to process "corrupted" codes.

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Nothing can both be and not be

Should we go about looking for special properties about the sequence "4921085736"?

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ADYFNC HJPLI BVSM GgK Oa m

In that case I can reproduce the process and get two new possibilities, *c* with 36 being the check sum, *d* with 49 being the check sum
1) Add the hexadecimal digits
*c* 49+21+08+57 = C9
*d* 21+08+57+36 = 26
2) no dropping of nibble to do
3) get its two's complement
*c* becomes 37 <> 36
*d* becomes DA <> 49
so, again the senidenary check sum is NOT correct in any case.
But now clearly the *c* is missing only for 1, which can be related to an interesting thing behind the two's complement part of the process.

I apologize since the line with step 3) was missing in the previous post:oops: , now I will update it sorry

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Nothing can both be and not be

Language is only a barrier if it is part of the problem . . .

After some research I've drawn to the conclusion that the check sequence is NOT correct.

The correct one should be 314086807395.

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ADYFNC HJPLI BVSM GgK Oa m

That is correct!

Do you want to explain it to the readers or do you want them to catch up with you?

Let's give others a day or two more. And I need some time to prepare for the next brainteaser.

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ADYFNC HJPLI BVSM GgK Oa m

Semi Spoiler hidden in the next one.

Why just those two? I began to speculate;-

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I have 81 brain cells left, I think.

Might be interesting thing for somebody to investigate. As far as this puzzle is concerned, however, it's purely coincidental.

I'm sorry, forgot to mention I solved this early because I received a minor tick from Richard privately:

So I got a slight head start compared to others...

This and a couple other comments from Richard helped me unsolve the mystery:





I'll post the next one within a couple of days, unless somebody has a great one and is eager to share here...

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ADYFNC HJPLI BVSM GgK Oa m