Palindromic Binary Representation Quiz and Flashcards

12 Questions

What does the `Integer.toBinaryString(N)` method do?

Converts an integer to its binary string representation

Which of the following conditions is used to check if a binary string is a palindrome?

if (revBinary == num)

What is the purpose of the `bin(int n)` method in the third code snippet?

It converts an integer to its binary string representation

Which operator is used to perform a bitwise right shift in the `bin(int n)` method?

In the `isBinaryPalindrome(int num)` method, what is the purpose of the line `int copyNum = num;`?

It creates a copy of the original number to avoid modifying it

Which of the following is the correct way to reverse a binary string in Java?

s2 = new StringBuilder(s1).reverse().toString();

What should be done to check if the binary representation of an integer is a palindrome?

Start from leftmost and rightmost bits, compare bits one by one, return false if there is a mismatch.

What is a caution to be kept in mind while considering the binary representation of a number?

Do not consider the leading zeros in the binary representation.

How can an integer be converted to its binary representation?

Using Integer.toBinaryString(val).

What approach is suggested to find the nth number whose binary representation is a palindrome?

Increment palindrome count for palindromic numbers from 1 to 2^31 – 1, break when reaching n.

Why is checking for palindromic binary representations mentioned as similar to checking plain string palindromes?

Because both start from leftmost and rightmost elements for comparison.

Which of the following numbers has a non-palindromic binary representation?

$63$

Study Notes

Binary Palindrome Programs

A binary palindrome is a number whose binary representation is the same when its digits are reversed.
Example: 1 (binary: 1), 27 (binary: 11011) are binary palindromes, while 10 (binary: 1010), 20 (binary: 10100) are not.

Checking Binary Palindromes

To check if a binary representation is a palindrome, compare the leftmost and rightmost bits, and move towards the center.
If a mismatch is found, return false.
Use Integer.toBinaryString(val) to convert an integer to binary.

Finding the nth Binary Palindrome

Traverse all integers from 1 to 2^31 – 1 and count the palindromes.
When the palindrome count reaches the required n, return the current integer.
Ignore leading zeros when considering binary representations.

Programs for Binary Palindromes

Java programs are provided to check if a binary representation is a palindrome and find the nth binary palindrome.
Programs use various techniques, including string manipulation and bitwise operations, to solve the problem.

Test your skills in checking if a binary representation of an integer is a palindrome. Practice converting integers to binary and determining if the binary format reads the same forwards and backwards. Challenge yourself with examples like 101 and 11011 to see if you can identify palindromes.

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Binary Palindrome Quiz