Help putting expression in form of miniterms (Boolean algebra)

AI Thread Summary
The discussion focuses on obtaining the minimum second order circuit using Boolean algebra, specifically through K-Maps. The main challenge is converting the given function into miniterms or maxiterms for proper mapping. Participants suggest drawing a 2x4 K-Map to visualize the function and map the 1's accordingly. The importance of adjacency in mapping is highlighted, particularly how changes in variables affect the placement of 1's. Overall, the conversation emphasizes the process of simplification through K-Maps in Boolean functions.
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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