Help putting expression in form of miniterms (Boolean algebra)

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Discussion Overview

The discussion revolves around obtaining the minimum second order circuit of a Boolean function, specifically focusing on expressing the function in miniterms form. Participants are exploring the use of Karnaugh Maps (K-Maps) for simplification and comparison of miniterms and maxiterms.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant expresses the need to convert a Boolean function into miniterms form to facilitate the use of K-Maps for simplification.
  • Another participant requests to see the K-Maps, indicating that they cannot provide them without the function being in miniterm or maxiterm form.
  • A suggestion is made to draw a 2x4 K-Map and map the 1's for the given function, implying that this could lead to simplifications.
  • One participant acknowledges the ability to draw the K-map by identifying how to map 1's based on adjacent cells where only one variable changes.

Areas of Agreement / Disagreement

Participants seem to agree on the necessity of using K-Maps for simplification, but there is a lack of consensus on how to proceed without the function being in the required form. The discussion remains unresolved regarding the specific steps to convert the function into miniterms.

Contextual Notes

Participants have not provided specific details about the Boolean function in question, which limits the ability to visualize or analyze the K-Maps effectively. There are also unresolved steps regarding the conversion of the function into miniterms or maxiterms.

frank1
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Homework Statement


I need to obtain the minimum second order circuit of the function:

function2.jpg


Homework Equations


The Attempt at a Solution


I know that in order to get the minimum second order circuit, I need to use K-Map using both miniterms and maxiterm and compare them. My problem is to put the expression in it's miniterms form.

function3.jpg
 
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frank1 said:

Homework Statement


I need to obtain the minimum second order circuit of the function:

function2.jpg


Homework Equations


The Attempt at a Solution


I know that in order to get the minimum second order circuit, I need to use K-Map using both miniterms and maxiterm and compare them. My problem is to put the expression in it's miniterms form.

function3.jpg

Can you show us what your K-Maps look like?
 
but how can I show you my K-maps if I don't have my function in a miniterm or maxiterm form?
 
frank1 said:
but how can I show you my K-maps if I don't have my function in a miniterm or maxiterm form?

Just draw the 2x4 K-Map and map the 1's for the function you have listed. There is one simplification that comes out of doing this...
 
Ok, got it.

Its possible to draw the K-map because where is C.B for example, I can map 1's in the cells adjacents where only A changes.

thanks
 
frank1 said:
Ok, got it.

Its possible to draw the K-map because where is C.B for example, I can map 1's in the cells adjacents where only A changes.

thanks

Good job! :smile:
 

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