// Prog: dec2float.cpp
// compute the float representation of a number in the open interval (0,2)

#include <iostream>
#include <cassert>

// PRE: 0 < x < 2
// POST: The binary representation of x was written to std::cout
void representation(const float x)
{ 
  assert(0 < x && x < 2);
  
  // x = w * 2^e
  float w = x;
  int e = 0; 

  // Extract exponent from x
  // (as long as w < 1, decrement e and double w)
  ...

  // Now we have 1 <= w < 2, apply rule from lecture
  std::cout << "Significand: ";
  for (...) {
    ...
    std::cout << bi; // bi is the ith bit
  }

  std::cout << "\nExponent: " << e << "\n";  
}

int main () 
{
  // input
  std::cout << "Decimal number x (0 < x < 2) =? ";
  float x;
  std::cin >> x;
  
  // Computation and output
  representation(x);
  
  return 0;
}