Need explanation about the steps to drawing a NAND circuit

[aruwin]

Please, I need you to teach me how to write the equations from the Karnaugh map and then how to draw the NAND circuits. Here's the sample that I have but I don't understand :( I know the basic of writing SOP and POS from the Karnaugh map but that's all. I don't get how it is converted to get the equation for a NAND circuit.

Please explain to me this:
http://i594.photobucket.com/albums/tt26/PRINCESS_HALIZA_2009/105.png

 

[aralbrec]

Please explain to me this:
http://i594.photobucket.com/albums/tt26/PRINCESS_HALIZA_2009/105.png

He's adding two NOTs over the result (this keeps the expression the same) and then applying DeMorgan's Law using one of the NOTs.