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.

Base 2 palindrome: 10001 = 17 in base 10

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