How to deserialize after I've added more members to a class

I have been struggling with saving my game progress. I have a class called Game that I serialize to a file. But every time I add another member to Game class I am getting a serialization exception when trying to deserialize a version of the Game class that doesn't have the new member. What I have done now when getting the serialization exception I delete the old file, create a new save and lose all the progress. Is there any way to deserialize a older version of the class into a newer version with the added members?

This is the save class I am using

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 using System.Runtime.Serialization.Formatters.Binary;
 using System.IO;
 
 public static class SaveLoad {    
 
     public static Game current;
 
     private static string fileName = Application.persistentDataPath + "/progress.hamburger";    //Name of the file to save to
 
     /// <summary>
     /// Creates a new game and saves it to a file
     /// </summary>
     public static void CreateGame() {
         current = new Game();
         Save();
     }
 
     /// <summary>
     /// Saves the progress on levels and updates the inventory of the current game with players inventory
     /// </summary>
     public static void Save() {
         if (current.unlockedLevels.Length != LevelSelect.instance.levels.Length)
         {
             current = new Game();
         }
         for (int i = 0; i < current.unlockedLevels.Length; i++) {
             current.unlockedLevels[i] = LevelSelect.instance.levels[i].unlocked;
             current.highestCombos[i] = LevelSelect.instance.levels[i].highestCombo;
             current.bestScores[i] = LevelSelect.instance.levels[i].bestScore;
         }
         current.musicMuted = MusicHandler.instance.muted;
         current.soundMuted = SoundHandler.instance.muted;
         current.inventory.UpdateInventory(Initializer.instance.player.inventory);
         BinaryFormatter bf = new BinaryFormatter();
         
         FileStream file = File.Create(fileName);
         bf.Serialize(file, SaveLoad.current);
         file.Close();
     }
 
     /// <summary>
     /// Loads the progress from file if the files exists
     /// otherwise it creates a game and the file
     /// </summary>
     public static void Load() {        
         if (File.Exists(fileName)) {
             BinaryFormatter bf = new BinaryFormatter();
             FileStream file = File.Open(fileName, FileMode.Open);            
             try {
                 SaveLoad.current = (Game)bf.Deserialize(file);
             } catch (System.Runtime.Serialization.SerializationException e) {
                 if (e != null) {
                     file.Close();
                     CreateGame();
                 }
             }
             file.Close();
             if (MusicHandler.instance.muted != current.musicMuted)
                 MusicHandler.instance.Mute();
             if (SoundHandler.instance.muted != current.soundMuted)
                 SoundHandler.instance.Mute();
             Initializer.instance.player.inventory.UpdateInventory(current.inventory);
             for (int i = 0; i < current.unlockedLevels.Length; i++) {
                 LevelSelect.instance.levels[i].unlocked = current.unlockedLevels[i];
                 LevelSelect.instance.levels[i].highestCombo = current.highestCombos[i];
                 LevelSelect.instance.levels[i].bestScore = current.bestScores[i];
             }            
             return;
         }
         else
             CreateGame();        
     }
     
 }
 
 //Contains all stuff needed to save
 [System.Serializable]
 public class Game {
     
     public bool[] unlockedLevels;
     public int[] highestCombos;
     public int[] bestScores;
     public Inventory inventory;
 
     public bool soundMuted = false;
     public bool musicMuted = false;
 
     public Game() {
         unlockedLevels = new bool[LevelSelect.instance.levels.Length];
         highestCombos = new int[LevelSelect.instance.levels.Length];
         bestScores = new int[LevelSelect.instance.levels.Length];
 
         for (int i = 0; i < unlockedLevels.Length; i++) {
             unlockedLevels[i] = LevelSelect.instance.levels[i].unlocked;            
             highestCombos[i] = LevelSelect.instance.levels[i].highestCombo;
             bestScores[i] = LevelSelect.instance.levels[i].bestScore;            
         }
         inventory = new Inventory();
     }
 }