MHB Drawing circuits with NAND gates

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The discussion focuses on creating a low-cost circuit implementation using only NAND gates for the function f(w,x,y,z) = x*y + w*x + ¬y*¬z. Participants emphasize that while traditional logic gates like NOT can be used, the challenge is to exclusively utilize NAND gates. It is noted that NAND gates can be configured to function as inverters, which is crucial for the implementation. There is some confusion regarding the variables y and z, with participants clarifying their roles in the circuit. The conversation highlights the importance of understanding how to represent logical functions using a restricted set of gates, particularly in optimizing circuit design for cost efficiency.
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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