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.
A 2 digit palindrome in any base would have to be x x as in 11 22 33 44 55 66 ....99
which of these is a palindrome in base 2?
(the only 5 digit base two numbers are 16-3110 palindromes include 17 21 27 31)
27 in base 2 = 11011
27 = 338
Guest is certainly correct.
Another answer is 11base 26
So
The smallest base 2 five digit palindrone is 100012 = 1710
\(10001_2=17_{10}=33_8=11_{26}\)
