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A palindrome is a number that reads the same forward and backward. What is the smallest 5-digit palindrome in base 2 that can be expressed as a 2-digit palindrome in a different base? Give your response in base 2.​

 Dec 27, 2020
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Base 2 palindrome:   10001       = 17 in base 10

 

Base 16 palindrome:   11           = 17 in base 10        = 10000 in base 2

 Dec 27, 2020

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