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I've been stuck trying to simplify this Karnaugh map for

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Thread replies: 10
Thread images: 4

File: carnaughmap.jpg (11KB, 181x122px) Image search: [Google]
carnaughmap.jpg
11KB, 181x122px
I've been stuck trying to simplify this Karnaugh map for hours, I always keep getting a simplification which doesn't work in the truth table.

Simplifications I've tried so far but aren't correct according to the truth table:
F = A + !B * !C + B * !C
F = A + !B + C
F = A + !B * !C + B
F = A + B + !C
F = A * !B * !C + !B * !C + B * !C
F = A + !A * !B * !C + !A * B * !C
>>
File: throwaway filename.png (13KB, 800x600px) Image search: [Google]
throwaway filename.png
13KB, 800x600px
>>269335
Is this right for your map?
>>
File: throwaway filename.png (16KB, 705x298px) Image search: [Google]
throwaway filename.png
16KB, 705x298px
>>269362
>>269335
>>
>>269362
>>269365
It looks just like the one I drew when trying to solve this, yeah.
>>
>>269367
A + (!B*!C + B*!C)
A + (!B + B)*!C
A + 1*!C

F(A,B,C) = A + !C

Try this.
>>
>>269369
did it work?
>>
>>269369
>>269371
A + 1*!C did not work, unfortunately.
It goes wrong at row 1 in the truth table, which is
001 = 1
and since A = 0 and !C is 0, all the slots are left as zero so it becomes 0*0*0 = 1 which is false.

There could be something that I'm missing here myself, but according to a site I tried to brainlessly solve it with the correct answer is:
F = !B + C
http://www.32x8.com/var4.html
>>
>>269374
Ah, linked the wrong one:
http://www.32x8.com/var3.html
>>
File: throwaway filename.png (16KB, 705x313px) Image search: [Google]
throwaway filename.png
16KB, 705x313px
>>269374
>>269375
You had the variables in the map shuffled I think.
If I use this map I get the right answer.
>>
>>269376
Oh yeah, it does work using that map. Thanks a ton, anon.
Thread posts: 10
Thread images: 4


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