Question: Ben Bitdiddle and Alyssa P. Hacker are having an argument. Ben says, All integers greater than zero and exactly divisible by six have exactly two

Ben Bitdiddle and Alyssa P. Hacker are having an argument. Ben says, “All integers greater than zero and exactly divisible by six have exactly two 1’s in their binary representation.” Alyssa disagrees. She says, “No, but all such numbers have an even number of 1’s in their representation.” Do you agree with Ben or Alyssa or both or neither? Explain.

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