By doing hexadecimal subtraction i got
$(BA)_{16}-(AB)_{16}=(F)_{16}$ similarly
$(CB)_{16}-(BC)_{16}=(F)_{16}$
$(DC)_{16}-(CD)_{16}=(F)_{16} $
$(ED)_{16}-(DE)_{16}=(F)_{16}$
$(FE)_{16}-(EF)_{16}=(F)_{16}$
I am interested in knowing, does similar kind of result holds in other bases too or not and can I expect similar kind of property in other bases?
In gist I just want to know intuition behind this result. thank you
Very similar things appear in any base, and with larger differences between the digits: $$76-67=9,74-47=27=3×9\ (10)$$ $$A9-9A=B,B7-7B=38=4×B\ (12)$$ In general, in base $b$ where $x>y$ are digits, $$\overline{xy}-\overline{yx}=(x-y)(b-1)$$ as can be easily verified algebraically.