For any positive integer x, let xR be the integer whose

Chapter , Problem 8.21

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For any positive integer x, let xR be the integer whose binary representation is the reverse of the binary representation of x. (Assume no leading 0s in the binary representation of x.) Dene the function R+: NN where R+(x) = x + xR. a. Let A2 = {hx,yi| R+(x) = y}. Show A2 L. b. Let A3 = {hx,yi| R+(R+(x)) = y}. Show A3 L.

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