Drawing circuits with NAND gates

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SUMMARY

The discussion focuses on implementing a circuit using only NAND gates to achieve the function $f(w,x,y,z) = x*y + w*x + \bar{y}*\bar{z}$. Participants emphasize that while traditional NOT gates are not allowed, they can be constructed using NAND gates. The conversation highlights the importance of understanding how to represent logical operations solely with NAND gates, clarifying the necessity of each variable in the function.

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  • Understanding of digital logic design
  • Familiarity with NAND gate functionality
  • Knowledge of Boolean algebra
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shamieh
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A cheap way to implement this circuit is to use only NAND gates. Draw the circuit diagram for the lowest cost implementation using these gates. (reminder: you can wire a NAND gate such that it acts like an inverter).

$f$(w,x,y,z) = $$x*y + w*x + \bar{y}*\bar{z}$$

My solution:
View attachment 1448 Will this work?
 

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shamieh said:
Will this work?
Close, but the problem statement says you can use only NAND gates, in particular, no NOT gates. However, NOT is easily expressible through NAND.

logic-gates1.png
 
Wow the fact that you got that your drew that diagram on here is awesome lol. But where is the y y and z z coming from? aren't those unnecesarry?
 
shamieh said:
But where is the y y and z z coming from? aren't those unnecesarry?
I don't understand the question, "Where are they coming from?". Do you know where x is coming from? What's the difference between x and y?
 
Nevermind, I see now.
 

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