[Java] Binary numbers in enum type.

public enum Type {
  /** none */
  NONE(0),
  /** ONE */
  ONE(1),
  /** TWO */
  TWO(2),
  /** FOUR */
  FOUR(4),
  /** EIGHT */
  EIGHT(8),
  /** SIXTEEN */
  SIXTEEN(16);

  private int key;
  private static int[] binaryArray = { 0, 1, 2, 4, 8, 16 };

  Type(int code) {
    this.key = code;
  }

  public int getKey() {
    return key;
  }

  public static void main(String[] args) {
    System.out.println(findListByKey(60));
  }

  public static List<Type> findListByKey(int key) {
    List<Type> matchList = new ArrayList<>();

    List<Integer> binarySequence = getBinarySequence(key);

    for (Integer code:binarySequence) {
        matchList.add(findByKey(code));
    }

    return matchList;
  }

  public static Type findByKey(int key) {
    Type match;
    for (Type e : values()) {
        if (e.getKey() == key) {
            match = e;
            return match;
        }
    }

    return NONE;
  }

  private static List<Integer> getBinaryNumberSequence(int target){
    List<Integer> result = new ArrayList<>();

    boolean flag = true;
    while (flag == true) {
        int code = findCloseDigit(target);
        target = target - code;
        result.add(code);
        if (target == 0) {
            flag = false;
        }
    }

    return result;
  }

  private static int findCloseDigit(int target) {
    int result = 0;
    for (int code:binaryArray) {
        if (code <= target) {
            result = code;
        } else {
            break;
        }
    }
    return result;
  }
}