非递归实现

function binary_search(arr, key) {
  var low = 0,
      high = arr.length - 1;
  while(low <= high){
    var mid = parseInt((high + low) / 2);
    if(key == arr[mid]){
      return mid;
    }else if(key > arr[mid]){
      low = mid + 1;
    }else if(key < arr[mid]){
      high = mid -1;
    }
  }
  return -1;
}

递归实现

function binary_search2(arr, low, high, key) {
  if(low > high) return -1;
  var mid = parseInt((low + high)/2);
  if(key == arr[mid]) {
    return mid;
  } else if(key > arr[mid]) {
    return binary_search2(arr, mid+1, high, key);
  } else if(key < arr[mid]) {
    return binary_search2(arr, low, mid-1, key);
  }
}