#include <iostream>
#include <iomanip>
using namespace std;
 
const char *valLookup = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
void toBase(int value, char *target, int base, int fixedDigitCount = 0) {
  int digitCount = 1;
  int temp = value;
  bool _signed = value < 0;
 
  // Find digit count
  while ( temp /= base )
    digitCount++;
 
  // Compare with fixeed number of digits, use highest
  int i = max( fixedDigitCount, digitCount ) + _signed;
 
  // Add sign
  if ( _signed )
    target[0] = '-';
 
  // Convert
  for (int off; i - _signed; i--) {
    off = (value % base);
    value /= base;
    target[i-1] = valLookup[off < 0 ? -off : off];
  }
 
  // Add null-ptr
  target[ max(fixedDigitCount, digitCount) + _signed ] = 0;
}
 
int main() {
  char buffer[32];
 
  cout << "Binary with no fixed number of digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 2 );
    cout << buffer << ' ';
  }
 
  cout << "\n\nBinary with 4 fixed digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 2, 4 );
    cout << buffer << ' ';
  }
 
 
  cout << "\n\n\nOctal with no fixed number of digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 8 );
    cout << buffer << ' ';
  }
 
  cout << "\n\nOctal with 3 fixed digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 8, 3 );
    cout << buffer << ' ';
  }
 
 
  cout << "\n\n\nDecimal with no fixed number of digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 10 );
    cout << buffer << ' ';
  }
 
  cout << "\n\nDecimal with 4 fixed digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 10, 4 );
    cout << buffer << ' ';
  }
 
  cout << "\n\n\nHex with no fixed number of digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 16 );
    cout << buffer << ' ';
  }
 
  cout << "\n\nHex with 2 fixed digits (1 to 15):\n";
  for (int i = 1; i <= 15; ++i) {
    toBase( i, buffer, 16, 2 );
    cout << buffer << ' ';
  }
 
  cin.ignore();
}