XOR two numbers

Is there an intuitive meaning of XOR of two numbers not involving binary and just decimal? Or is is always converted into binary and then XORed?

Bitwise operations like (bitwise) AND, OR, and XOR don't make much sense from the perspective of decimal expansion. They do make some sense in bases which are powers of 2 like hexadecimal, since in such bases they also operate digit by digit.

StackExchange Computer Science Q#53349, answer score: 8