Author Topic: Hi, did i solve this logic system equation correctly ?  (Read 901 times)

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Offline nyameTopic starter

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Hi, did i solve this logic system equation correctly ?
« on: September 15, 2018, 04:00:09 pm »
Hi, please did i solve this logic equation correctly ? and please i need a reference book for this type of logic systems to help me learn more
 

Offline rstofer

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Re: Hi, did i solve this logic system equation correctly ?
« Reply #1 on: September 15, 2018, 04:45:24 pm »
Looks right to me!  It looks like I may have dumped my nearly 50 year old texts.  Since nobody is dealing with discrete logic, it is not as important today.  Most logic designs will be done for FPGAs or CPLDs and the synthesizer tool takes care of minimization.

It is difficult to get minimization from a truth table.  You really need to get into Karnaugh Maps and there are videos all over Google.  Just watch carefully how they lay out the rows and columns.  This is the real way equations are minimized.

 

Offline rstofer

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Re: Hi, did i solve this logic system equation correctly ?
« Reply #2 on: September 15, 2018, 05:11:26 pm »
Re: Karnaugh Maps

When there are two variables in a Truth Table the adjacencies are easy to see.  With 3 variables it is still fairly easy but when you get to 4 variables it is quite difficult to see all the possible minimizations.  That's why we use Karnaugh Maps.  The adjacencies in logic are adjacent in the map.  You just start circling the largest blocks of 1s irrespective of overlap.

 

Offline Benta

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Re: Hi, did i solve this logic system equation correctly ?
« Reply #3 on: September 15, 2018, 05:55:32 pm »
nyame, you've asked for book titles before and you were given answers.
 


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