Palindromic Binary Representation Quiz and Flashcards

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Questions and Answers

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

Checks if an integer is a palindrome in binary

Converts a binary string to an integer

Reverses the binary representation of an integer

Converts an integer to its binary string representation (correct)

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

if (s.equals(s2.toString()))

if (s.charAt(i) != s.charAt(j))

if (revBinary == num) (correct)

if (s.equals(s1))

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

It converts an integer to its binary string representation (correct)

It checks if a binary string is a palindrome

It converts a binary string to an integer

It reverses a binary string

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

>> Signup and view all the answers

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 Signup and view all the answers

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

s2 = new StringBuilder(s1).reverse().toString(); Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

How can an integer be converted to its binary representation?

Using Integer.toBinaryString(val). Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

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

$63$ Signup and view all the answers

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.

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Description

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.

Binary Palindrome Quiz

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