Largest number with binary representation is m 1’s and m-1 0’s in C++

In this tutorial, we are going to write a program that finds the largest number with m 1's and m - 1 0's.

Let's see the steps to solve the problem.

• Initialise two variables bits and result with 2 and 1 respectively.
• Write a loop that iterates from 1 to n.
  • Update the iterating variable value with pow(2, bits) - 1) * (pow(2, bits - 1).
  • If the iterative variable is less than n, then update the result with i.
  • Increment the bits count.
• Return resutl.

Example

Let's see the code.

 Live Demo

#include <bits/stdc++.h>
using namespace std;
long long getTheNumber(long long n) {
   long bits = 2;
   long long result = 1;
   long long i = 1;
   while (i < n) {
      i = (int)(pow(2, bits) - 1) * (pow(2, bits - 1));
      if (i < n) {
         result = i;
      }
      bits++;
   }
   return result;
}
int main() {
   long long n = 654;
   cout << getTheNumber(n) << endl;
   return 0;
}

Output

If you run the above code, then you will get the following result.

496

Conclusion

If you have any queries in the tutorial, mention them in the comment section.

Hafeezul Kareem

Updated on 09-Apr-2021 13:40:36

• Related Questions & Answers
• Binary representation of next greater number with same number of 1’s and 0’s in C Program?
• Maximum 0’s between two immediate 1’s in binary representation in C++
• C++ Largest Subtree having Equal No of 1's and 0's
• Count subarrays with equal number of 1’s and 0’s in C++
• 1’s and 2’s complement of a Binary Number?
• Construct DFA of alternate 0’s and 1’s
• Count the number of 1’s and 0’s in a binary array using STL in C++
• Count number of binary strings of length N having only 0’s and 1’s in C++
• Find longest sequence of 1’s in binary representation with one flip in C++
• Construct PDA for L = {0n1m2(n+m) | m,n >=1}
• Find the number of integers from 1 to n which contains digits 0’s and 1’s only in C++
• Construct DPDA for anbmc(n+m) n,m≥1 in TOC
• Sort an arrays of 0’s, 1’s and 2’s using C++
• Sort an arrays of 0’s, 1’s and 2’s using Java
• Segregate 0’s and 1’s in an array list using Python?