Solve Digital Logic Homework: Simplify w/ K-map, Sum of Prods & NAND Gates

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TimTimBoBim
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Homework Statement



Using k-map simplify the boolean function:

f(w, x, y, z) = [tex]\prod[/tex](1, 3, 4, 5, 7, 11, 12, 13, 15)

into sum of products form

product of sums form

implement using nand gates

Homework Equations




The Attempt at a Solution



I have the k-map, I understand that part. What I don't understand is how to extract the boolean function from the k-map. The NAND gates part I'm clueless on.

Notes
I'm studying for a test and this is a random example problem. I would thoroughly appreciate a walk-through.

Also, for a different question, how do I extract a boolean function from a circuit drawing? Meaning, there are 4 XOR's, leading to 2 AND's, leading to 1 AND.How do I create a boolean function by looking at that drawing?

Thank you.
 
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