Help with consensus terms in k-map solution

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SUMMARY

The discussion focuses on finding consensus terms for the minimal Sum of Products (SOP) solution of the function F defined by the minterms Σm(1,3,4,5,7,10,11,12,14,15) using inputs A, B, C, and D. The minimal SOP solution identified is F = A'D + AC + BC'D'. The consensus terms derived include CD, ABD', and A'BC'. The user seeks confirmation and additional consensus terms, indicating a need for a complete Karnaugh Map representation to visualize the solution.

PREREQUISITES
  • Understanding of Karnaugh Maps for simplifying Boolean expressions
  • Familiarity with Sum of Products (SOP) form in Boolean algebra
  • Knowledge of consensus theorem in Boolean simplification
  • Basic skills in logic design and digital circuit analysis
NEXT STEPS
  • Study the construction and application of Karnaugh Maps for Boolean simplification
  • Learn about the consensus theorem and its role in minimizing Boolean expressions
  • Explore advanced techniques for finding redundant terms in SOP solutions
  • Practice solving similar problems involving consensus terms and Karnaugh Maps
USEFUL FOR

Students in digital logic design, educators teaching Boolean algebra, and engineers working on circuit optimization will benefit from this discussion.

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Homework Statement


Find consensus (redundant) terms for the minimal SOP solution for the following function (inputs A,B,C,D and output F):
Σm(1,3,4,5,7,10,11,12,14,15)

Homework Equations


n/a

The Attempt at a Solution


I find the minimal SOP solution is F=A'D + AC + BC'D'

Then it seems like there are three consensus terms which are CD + ABD' + A'BC'. But it seems like I am missing something else.
 
Last edited:
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Please attach your Karnaugh Map showing your working.
 

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