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Answer:
The number of palindromes is
when n is even and
when n is odd
Step-by-step explanation:
From the question we are told that
The length of the string is
Generally palindrome is evaluated by considering the first part of a string
When the the length of the string is an even number then
it means that the first part of the string is
Hence the number of bit strings of length n that are palindromes is evaluated as
But When the the length of the string is an odd number then
it means that the first part of the string is
Hence the number of bit strings of length n that are palindromes is evaluated as
Generally each bit could be either 0 or 1
Hence the number of palindromes is
when n is even and
when n is odd