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Jelly, 4 bytes

O^/Ọ

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Takes input as a list of the two strings, e.g. ['abcde', '01234'].

How?

O # ord: cast to number (automatically vectorizes)
 ^/ # Reduce by XOR. XOR automatically vectorizes
 and pads as desired to work if the two strings are different lengths
 Ọ # chr: cast to character (vectorizes once again)