# 1. Introduction

In computer science, palindromes are not just confined to textual strings but can also extend to binary representations of numbers. A binary palindrome is a binary number that reads the same forward and backward. Checking for this property involves examining the binary representation of a number.

# 2. Problem

Develop a Python program that determines whether the binary representation of a given integer is a palindrome.

# 3. Solution Steps

1. Convert the given integer to its binary representation.

2. Strip the '0b' prefix that Python uses to indicate a binary number.

3. Check if the binary string is a palindrome.

4. Return and print the result.

# 4. Code Program

```
# Function to check if the binary representation of a number is a palindrome
def is_binary_palindrome(num):
# Convert number to binary and remove the '0b' prefix
binary_str = bin(num)[2:]
# Check if the binary string is a palindrome
return binary_str == binary_str[::-1]
# Given number
number = 9
# Check if its binary representation is a palindrome
binary_palindrome = is_binary_palindrome(number)
# Print the result
print(f"Is the binary representation of {number} a palindrome? {binary_palindrome}")
```

### Output:

Is the binary representation of 9 a palindrome? True

### Explanation:

1. The function *is_binary_palindrome* converts the given *num* to a binary string using *bin(num)* and removes the '0b' prefix with slicing *[2:]*.

2. It then checks whether this binary string is the same as its reverse.

3. For the number *9*, whose binary representation is *1001*, the function returns *True* since *1001* is a palindrome.

4. The *print* statement outputs the final result, indicating the binary representation of the number *9* is indeed a palindrome.

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