please answer it in C++

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  This is the code : read comments carefully i have mentioned each step in comments:

  I used the method one : First discard the integral part and then doing operation with fractional part :
  Code:

  #include <bits/stdc++.h>
  using namespace std;
  #define ll long long
  #define nline "\n"
  #define mod (ll)(1e9+7)
  // Function to convert decimal to binary upto
  // k-precision after decimal point
  string decimalToBinary(double num, int k_prec)
  {
  string binary = ""; // i used this string to store in a binary format
    
  // Fetch the integral part of decimal number
  int Integral = num;
    
  // Fetch the fractional part decimal number
  double fractional = num - Integral;

  // Conversion of fractional part to
  // binary equivalent
  while (k_prec--)
  {
  // Find next bit in fraction
  fractional *= 2; // this will do multiplication
  int fract_bit = fractional; // if fraction become 1.675 (assume) int actually take 1 here and discarded fraction.
    
  if (fract_bit == 1) // if its equal one just add into a string one into it
  {
  fractional -= fract_bit; //remove those bit here
  binary.push_back(1 + '0'); // update our string
  }
  else
  binary.push_back(0 + '0');
  }
    
  return binary;
  }
  int main() {
  double number;
  cin>>number;
  int k;
  cin>>k;
  number=number-(int)(number); // remove integral part only fraction part be there .
  if(number<0){
  cout<<"invalid";
  }
  else{
  cout<<decimalToBinary(number,k)<<endl;
  }
  }

  Code:With less comments.

  #include <bits/stdc++.h>
  using namespace std;
  #define ll long long
  #define nline "\n"
  #define mod (ll)(1e9+7)
  // Function to convert decimal to binary upto
  // k-precision after decimal point
  string decimalToBinary(double num, int k_prec)
  {
  string binary = "";
    
  // Fetch the integral part of decimal number
  int Integral = num;
    
  // Fetch the fractional part decimal number
  double fractional = num - Integral;

  // Conversion of fractional part to
  // binary equivalent
  while (k_prec--)
  {
  // Find next bit in fraction
  fractional *= 2;
  int fract_bit = fractional;
    
  if (fract_bit == 1)
  {
  fractional -= fract_bit;
  binary.push_back(1 + '0');
  }
  else
  binary.push_back(0 + '0');
  }
    
  return binary;
  }
  int main() {
  double number;
  cin>>number;
  int k;
  cin>>k;
  number=number-(int)(number);
  if(number<0){
  cout<<"invalid";
  }
  else{
  cout<<decimalToBinary(number,k)<<endl;
  }
  }

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