How Can DeMorgan's Law Be Applied to Implement (A+B).(A+C) Using NAND Gates?

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Homework Help Overview

The discussion revolves around implementing the expression (A+B).(A+C) using NAND gates, specifically through the application of DeMorgan's law. Participants are exploring the conversion of this logical expression into a circuit diagram.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply DeMorgan's law but expresses confusion regarding the diagram and the steps following their initial manipulation of the expression. Other participants suggest expanding and simplifying the expression, while some question the correctness of the original poster's transformation of the expression.

Discussion Status

Participants are actively engaging with the problem, with some providing guidance on how to approach the diagram and others questioning the validity of the transformations made. There is a mix of understanding regarding the mathematical aspects and the practical implementation in diagram form.

Contextual Notes

The original poster mentions a looming deadline, indicating time constraints that may affect the depth of exploration in the discussion. There is also a reference to difficulties in uploading diagrams, which may limit the clarity of the communication.

aurao2003
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Homework Statement


Hi
I am struggling with the diagram of this question. Can anyone help? I would have loaded my diagram but unsure how to do it. This is the question:

Starting with the following statement (A+B).(A+C), show how this can be implemented using NAND gates using DeMorgans law.



Cheers


Homework Equations





The Attempt at a Solution


After doubly negating, I obtained (A.B) + (A.C). And this is where I get stuck.
Please help. I have a deadline looming this week.
 
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Try to expand and then simplify the expression first.

ehild
 
Thanks for a response. I am okay with the maths but unsure about the actual diagram. Any pointers? Thanks.
 
The double-negated (A+B).(A+C) is not A.B+A.C.

If you do not know how to draw the diagram, see http://www.kpsec.freeuk.com/gates.htm. Copy the figures and construct the circuit from them.
If you do not know how to upload it into your post, click on "Go Advanced".

ehild
 

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