テキストエリア(java.awt.TextArea)入力値の出力方法について

import java.awt.BorderLayout;
import java.awt.Button;
import java.awt.Frame;
import java.awt.TextArea;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
import java.awt.event.WindowAdapter;
import java.awt.event.WindowEvent;

public class TextAreaTest {
    private TextArea area;

    public TextAreaTest () throws Exception {
        Frame frame = new Frame("Test");
        frame.setBounds(100, 100, 400, 400);
        frame.addWindowListener(new WindowAdapter() {
            public void windowClosing(WindowEvent e) {
                System.exit(1);
            }
        });

        area = new TextArea();
        frame.add(area);

        Button button = new Button("getText");
        button.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent event) {
                byte[] b = area.getText().getBytes();
                for (int i = 0; i < b.length; i++) {
                    System.out.print(Integer.toHexString(b[i]) + " ");
                    if (b[i] == '\n') {
                        System.out.println();
                    }
                }
            }
        });
        frame.add(button, BorderLayout.SOUTH);

        frame.setVisible(true);
        
    }

    public static void main(String[] args) throws Exception {
        new TextAreaTest();
    }
}