Sum of Products with Karnaugh Map

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SUMMARY

The discussion focuses on deriving the minimal Sum of Products (SOP) equation from a given Karnaugh Map. The provided Karnaugh Map indicates the presence of 'don't care' conditions and binary values for the variables YZ and WX. The correct minimal SOP equation derived from the map is confirmed to be yzw + \bar{y}\bar{z} + \bar{y}\bar{w}, which is validated by participants in the forum.

PREREQUISITES
  • Understanding of Karnaugh Maps and their application in simplifying Boolean expressions.
  • Familiarity with Boolean algebra, specifically the Sum of Products (SOP) form.
  • Knowledge of binary variables and their representation in logic circuits.
  • Experience with 'don't care' conditions in logic minimization.
NEXT STEPS
  • Study the principles of Karnaugh Map simplification techniques.
  • Learn about the implications of 'don't care' conditions in Boolean algebra.
  • Explore advanced Boolean simplification methods, such as Quine-McCluskey algorithm.
  • Investigate practical applications of SOP in digital circuit design.
USEFUL FOR

Students and professionals in electrical engineering, computer science, and anyone involved in digital logic design or Boolean algebra simplification.

shamieh
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Write out the minimal Sum of Products(SOP) equation given the following Karnaugh Map.

[TABLE="class: grid, width: 250"]
[TR]
[TD]YZ|WX
[/TD]
[TD]00
[/TD]
[TD]01
[/TD]
[TD]11
[/TD]
[TD]10
[/TD]
[/TR]
[TR]
[TD]00
[/TD]
[TD]d
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[/TR]
[TR]
[TD]01
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[/TR]
[TR]
[TD]11
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]d
[/TD]
[TD]1
[/TD]
[/TR]
[TR]
[TD]10
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[/TR]
[/TABLE]

Need someone to check my answer.

My answer: $$yzw + \bar{y}\bar{z} + \bar{y}\bar{w}$$
 
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Looks good to me.
 

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