Recover an XOR of two unknowns

EasyProgramming & DSA~3m

Three registers hold unknown integers $x$ , $y$ , $z$ . You are told only that $x \oplus y = 6$ and $x \oplus z = 10$ (all bitwise XOR, $\oplus$ ). What is $y \oplus z$ ?

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You can't recover $x$ from two equations in three unknowns - and you don't need to.
$(x\oplus y)\oplus(x\oplus z) = y\oplus z$ since $x$ cancels; compute $6\oplus 10$ in binary.

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Asked at: Mixed Quant & Coding, Data-Driven Research

Recover an XOR of two unknowns

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