4) Let R be a binary relation over the set of 8-bit unsigned integers (0 to 255) defined as follows: R= {(a, b)[a ^ b =8 0} where the caret symbol represents a bitwise XOR. (4) Prove that R is an equivalence relation. (2) Determine how many equivalence classes R has. (2) Give a simpler definition for R that doesn't involve the bitwise XOR operator. %3D

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