AWT GUI Control positioning

Hi, I have been trying to go by the programming book and I am trying to position controls as shown in the Figure 5-50a. I have been going at this for more than 8 hours and I still don't get the results as in the picture. I have no idea how it's done, the book explains things way too poorly and is 7 years outdated.
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I know how to make all the controls I just have no idea how to use any of the layout controls properly enough to make it look as above.

Use a Layout Manager. More specifically, use nested Layouts- one JPanel with one Layout that holds other JPanels with other Layouts that ultimately hold JButtons.

Break the displays into sections- can you make a single row of buttons? Then can you stack rows of buttons into columns?

Recommended reading: A Visual Guide to Layout Managers (The Java™ Tutorials > Creating a GUI With JFC/Swing > Laying Out Components Within a Container)