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@AndrewArdill That's a good way to look at it - because the 👑 doesn't affect lower digits, the base 10 structure is preserved. My argument: we get a normal 999, then the left 👑 adds an extra 100, the middle 👑 adds 10, and the right 👑 adds 1, so 999+100+10+1=1110.
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@AndrewArdill I like the extension problem of x👑y, which I would interpret as base 11.