I would give you a generic idea, it may need to be re-adjusted for your actual project.
swift 4.2
let notificationTokenKeyboardWillAppear = NotificationCenter.default.addObserver(forName: UIResponder.keyboardWillShowNotification, object: nil, queue: nil) { (note) in
    guard let keyboardFrame = (note.userInfo?[UIResponder.keyboardFrameEndUserInfoKey] as? NSValue)?.cgRectValue else { return }
    UIView.animate(withDuration: CATransaction.animationDuration(), animations: {
        self.scrollView?.contentInset = UIEdgeInsets(top: 0.0, left: 0.0, bottom: keyboardFrame.size.height, right: 0.0)
    }, completion: nil)
}
and
let notificationTokenKeyboardWillHide = NotificationCenter.default.addObserver(forName: UIResponder.keyboardWillHideNotification, object: nil, queue: nil) { (_) in
    UIView.animate(withDuration: CATransaction.animationDuration(), animations: {
        self.scrollView?.contentInset = .zero
    }, completion: nil)
}
NOTE-1: scrollView represents here any subset of UIScrollView, e.g. UITableView or UICollectionView, etc...
NOTE-2: you'll need to remove the tokens manually by invoking the removeObserver(_:) method when you are about to release the view and the closure-based observers are not necessary any longer
ObjC
I persume the UITableView *_tableView has been set up properly somewhere before.
- (void)viewDidLoad {
    // ...
    [[NSNotificationCenter defaultCenter] addObserverForName:UIKeyboardWillShowNotification object:nil queue:nil usingBlock:^(NSNotification *note) {
        id _obj = [note.userInfo valueForKey:UIKeyboardFrameEndUserInfoKey];
        CGRect _keyboardFrame = CGRectNull;
        if ([_obj respondsToSelector:@selector(getValue:)]) [_obj getValue:&_keyboardFrame];
        [UIView animateWithDuration:0.25f delay:0.f options:UIViewAnimationOptionCurveEaseInOut animations:^{
            [_tableView setContentInset:UIEdgeInsetsMake(0.f, 0.f, _keyboardFrame.size.height, 0.f)];
        } completion:nil];
    }];
    
    [[NSNotificationCenter defaultCenter] addObserverForName:UIKeyboardWillHideNotification object:nil queue:nil usingBlock:^(NSNotification *note) {
        [UIView animateWithDuration:0.25f delay:0.f options:UIViewAnimationOptionCurveEaseInOut animations:^{
            [_tableView setContentInset:UIEdgeInsetsZero];
        } completion:nil];
     }];
     // ...
}
NOTE: if your UITableView is not at the bottom of the screen precisely, the contentInset value should be refined in this line: [_tableView setContentInset:UIEdgeInsetsMake(0.f, 0.f, _keyboardFrame.size.height, 0.f)];