Q:

Inverse operation of xor

If x = a xor b, given the values of x and a can we find b? In other words, which function can be applied on both sides in the equation to get the value of b?

A:

XOR is its own inverse and it's commutative, so $x = a \oplus b \implies x\oplus a = a \oplus b \oplus a = 0 \oplus b = b$

