(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey PF!

I'm supposed to "Optimize the equation for minimal input-output delay with 3-input NAND gates of 1.8ns delay each." It'll become much clearer at my attempt at a solution, I hope.

2. Relevant equations

De Morgan's laws, K-maps, the sort...

3. The attempt at a solution

So this is part of a homework assignment I've been struggling with for a while now. We were given a word problem and had to simplify it using three input NAND gates.

I've simplified the actual word problem to :

F(ABCD)= AB + CD + BD + BC + AD + AC

As you can see this doesn't use any NAND gates, so I simplified it further to:

(A NAND B) NAND (A NAND C) NAND (A NAND D) NAND (B NAND C) NAND (B NAND D) NAND (C NAND D)

Sorry for typing out the NANDS, I thought it would be easier to see than those pesky ' marks.

How do I go about simplifying this further to 3 INPUT NANDS?

I appreciate any guidance!

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# Boolean Algebra Simplification

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