Yes, it makes sense. But the thing is that I've seen that only by having just the last 8 digits of my above number you can actually store the card in a server (for example). In my previous job, I've worked a little with elevator and we restricted the access of resident to the elevator by means of RFID technology, and the thing was that when we registered the cards on the servers, we only took the last 8 digits. Sadly enough, I never bothered to ask how they managed that situation. That why I'm kind of confused to how the decoding is done.
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But now that I look at it, the first three of the last eight digits are the facility code. Since there are 8 bits for the facility code (Wiegand26 format), this can go up to 255. While the remaining 5 comprise the other 16bits, so it can go up to 65535. That makes 24 bits, plus the even parity bit plus the odd parity bit makes a total of 26bits, hence the Wiegand26. So it must probably be this. But then what do the first 10 digits refer to?