Given two integers N and K, the task is to represent N in K bits and print the number obtained after flipping all the bits.
Examples:
Input:N = 1, K = 32
Output: 4294967294
Explanation:
1 in K(= 32) bit representation is (00000000000000000000000000000001)2.
Flipping all the bits modifies N to (11111111111111111111111111111110)2 = (4294967294)10.Input: N = 0, K = 32
Output: 4294967295
Approach: Follow the steps below to solve the problem:
- Find the value of (1 << (K – 1)) – 1, say X.
- Finally, print the value of (X – N).
Below is the implementation of the above approach:
C++
// C++ Program for the above approachÂ
#include <bits/stdc++.h>using namespace std;Â
// Function to flip all K-bits// of an unsigned number Nvoid flippingBits(unsigned long N,                  unsigned long K){Â
    // Stores (2 ^ K) - 1    unsigned long X = (1 << (K - 1)) - 1;Â
    // Update N    N = X - N;Â
    // Print the answer    cout << N;}Â
// Driver Codeint main(){Â Â Â Â unsigned long N = 1, K = 8;Â Â Â Â flippingBits(N, K);Â
    return 0;} |
Java
// Java program for the above approachimport java.util.*;Â
class GFG{Â
// Function to flip all K-bits// of an unsigned number Nstatic void flippingBits(long N,                         long K){         // Stores (2 ^ K) - 1    long X = (1 << (K - 1)) - 1;         // Update N    N = X - N;         // Print the answer    System.out.print(N);}Â
// Driver Codepublic static void main(String[] args){Â Â Â Â long N = 1, K = 8;Â Â Â Â Â Â Â Â Â flippingBits(N, K);}}Â
// This code is contributed by shikhasingrajput |
Python3
# Python3 Program for the above approachÂ
# Function to flip all K-bits# of an unsigned number Ndef flippingBits(N, K):Â
    # Stores (2 ^ K) - 1    X = (1 << (K - 1)) - 1Â
    # Update N    N = X - NÂ
    # Print the answer    print(N)Â
# Driver Codeif __name__ == '__main__':Â Â Â Â N, K = 1, 8Â Â Â Â flippingBits(N, K)Â
    # This code is contribute by mohit kumar 29 |
C#
// C# program for the above approachusing System;Â
class GFG{Â
// Function to flip all K-bits// of an unsigned number Nstatic void flippingBits(int N, int K){Â Â Â Â Â Â Â Â Â // Stores (2 ^ K) - 1Â Â Â Â int X = (1 << (K - 1)) - 1;Â
    // Update N    N = X - N;Â
    // Print the answer    Console.Write(N);}Â
// Driver Codepublic static void Main(string[] args){Â Â Â Â int N = 1, K = 8;Â Â Â Â Â Â Â Â Â flippingBits(N, K);}}Â
// This code is contributed by chitranayal |
Javascript
<script>Â
// Javascript program of the above approachÂ
// Function to flip all K-bits// of an unsigned number Nfunction flippingBits(N, K){          // Stores (2 ^ K) - 1    let X = (1 << (K - 1)) - 1;          // Update N    N = X - N;          // Print the answer    document.write(N);}Â
    // Driver Code       let N = 1, K = 8;          flippingBits(N, K);  </script> |
Output:Â
126
Â
Time Complexity: O(1)
Auxiliary Space: O(1)
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