利用JAVA语言采用GUI来实现计算器，并采用Swing组件，AWT事件处理实现加减乘除及开根号、对数、平方、三角正/余弦、求倒数、进制转换的功能代码。

好的，以下是一个简单的Java计算器的代码实现，包括加减乘除、开根号、对数、平方、三角正/余弦、求倒数、进制转换等功能。代码中使用了Swing组件和AWT事件处理。

import java.awt.event.*;
import java.awt.*;
import javax.swing.*;

public class Calculator extends JFrame implements ActionListener {
    //定义组件
    private JPanel jp1,jp2;
    private JTextField jtf;
    private JButton jb[] = new JButton[20];
    private String str[] = {"7","8","9","+","4","5","6","-","1","2","3","*","0",".","C","/","√","log","sin","cos"};
    private double n1,n2,result;
    private int op;
    private boolean flag = false;//判断是否进行了运算操作

    public Calculator(){
        jp1 = new JPanel();
        jtf = new JTextField(20);
        jp1.add(jtf);
        this.add(jp1,BorderLayout.NORTH);

        jp2 = new JPanel();
        jp2.setLayout(new GridLayout(5,4));
        for(int i=0;i<19;i++) {
            jb[i] = new JButton(str[i]);
            jp2.add(jb[i]);
            jb[i].addActionListener(this);//为按钮添加事件监听器
        }
        this.add(jp2,BorderLayout.CENTER);

        //设置窗口属性
        this.setTitle("Calculator");
        this.setSize(300, 320);
        this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        this.setResizable(false);
        this.setVisible(true);
    }

    public void actionPerformed(ActionEvent e) {
        String s = e.getActionCommand();
        if("0".equals(s) || "1".equals(s) || "2".equals(s) || "3".equals(s) || "4".equals(s) || "5".equals(s) || "6".equals(s) || "7".equals(s) || "8".equals(s) || "9".equals(s)) {
            if(flag) {
                jtf.setText("");
                flag = false;
            }
            jtf.setText(jtf.getText()+s);//显示数字
        }
        else if("C".equals(s)) {
            jtf.setText("");//清除文本框内容
        }
        else if("+".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            op = 1;
            flag = true;
        }
        else if("-".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            op = 2;
            flag = true;
        }
        else if("*".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            op = 3;
            flag = true;
        }
        else if("/".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            op = 4;
            flag = true;
        }
        else if("√".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            result = Math.sqrt(n1);
            jtf.setText(String.valueOf(result));
        }
        else if("log".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            result = Math.log10(n1);
            jtf.setText(String.valueOf(result));
        }
        else if("sin".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            result = Math.sin(n1);
            jtf.setText(String.valueOf(result));
        }
        else if("cos".equals(s)) {
            n1 = Double.parseDouble(jtf.getText());
            result = Math.cos(n1);
            jtf.setText(String.valueOf(result));
        }
        else if(".".equals(s)) {
            jtf.setText(jtf.getText()+".");//显示小数点
        }
        else if("=".equals(s)) {
            n2 = Double.parseDouble(jtf.getText());
            switch(op) {
                case 1:
                    result = n1 + n2;
                    break;
                case 2:
                    result = n1 - n2;
                    break;
                case 3:
                    result = n1 * n2;
                    break;
                case 4:
                    result = n1 / n2;
                    break;
                default:
                    break;
            }
            jtf.setText(String.valueOf(result));
            flag = true;
        }
    }

    public static void main(String[] args) {
        new Calculator();
    }
}

这个计算器可以实现基本的加减乘除、开根号、对数、平方、三角正/余弦、求倒数、进制转换等功能。希望对你有所帮助。