0110110110

How many binary strings of length 10 are palindromes?

Details and assumptions

A palindrome is a number that reads the same forward as it does backward.

A binary string is a sequence of integers that are $1$ or $0$ . The length of a string refers to the number of integers in it.

As an explicit example, the binary string of length $3$ are $000, 001, 010, 011$ , $100, 101, 110, 111$ .