Help with consensus terms in k-map solution

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In summary, a consensus term in a K-map solution is a group of adjacent squares with the same logical value, which can be used to simplify a Boolean expression. To identify consensus terms, one must look for adjacent squares in a horizontal, vertical, or diagonal arrangement. These terms are important because they allow for the reduction of literals in the expression. To simplify a Boolean expression using consensus terms, one must group them together and apply Boolean algebra rules. However, there are limitations to using consensus terms, such as not all combinations producing a simplified expression and the potential for a more complex expression with too many terms.
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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.
 
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Please attach your Karnaugh Map showing your working.
 

Related to Help with consensus terms in k-map solution

1. What is a consensus term in a K-map solution?

A consensus term in a K-map solution is a group of adjacent squares in the K-map that have the same logical value (either 0 or 1). These squares can be combined to simplify the Boolean expression and reduce the number of literals.

2. How do I identify consensus terms in a K-map solution?

In a K-map, you can identify consensus terms by looking for adjacent squares with the same logical value. These squares can be in a horizontal, vertical, or diagonal arrangement.

3. Why are consensus terms important in a K-map solution?

Consensus terms are important in a K-map solution because they allow for simplification of the Boolean expression. By combining adjacent squares with the same logical value, the number of literals in the expression can be reduced, making it easier to understand and implement.

4. How do I use consensus terms to simplify a Boolean expression?

To use consensus terms to simplify a Boolean expression, you can group the adjacent squares with the same logical value and combine them using Boolean algebra rules. This will result in a simplified expression with fewer literals.

5. Are there any limitations to using consensus terms in a K-map solution?

Yes, there are some limitations to using consensus terms in a K-map solution. For example, not all combinations of squares will result in a simplified expression, and some expressions may still require additional steps to fully simplify. Additionally, using too many consensus terms may result in a more complex expression than the original one.

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