Tuesday 27 August 2019

Solution of onе System in Boolean Variables in 08/2016 format from Informatics_100 VK's News Wire as of 27/08/2019

Once again a bunch of 23rd USE Informatics problems might be solved via 08/2016 technique rather then bits chains way 


 Original Source
 (x1 v x2)^(¬x1 v ¬x2)^(x1 v y1)=1
 (x2 v x3)^(¬x2 v ¬x3)^(x2 v y2)=1
 (x3 v x4)^(¬x3 v ¬x4)^(x3 v y3)=1
 (x4 v x5)^(¬x4 v ¬x5)^(x4 v y4)=1
 (x5 v x6)^(¬x5 v ¬x6)^(x5 v y5)=1
 (x6 v x7)^(¬x6 v ¬x7)^(x6 v y6)=1
 (x7 v y7)=1

Good knowledge of Algebra of Logic is required pretty often to simplify original system to the one which is obviously good for 08/2016 treatment.

Convert to equivalent due to  (x1 v x2)^(¬x1 v ¬x2) =  (x1^¬x2)v(x2^¬x1)=x1⊕x2
 (x1⊕x2)^(x1 v y1)=1
 (x2⊕x3)^(x2 v y2)=1
 (x3⊕x4)^(x3 v y3)=1
 (x4⊕x5)^(x4 v y4)=1
 (x5⊕x6)^(x5 v y5)=1
 (x6⊕x7)^(x6 v y6)=1
 (x7 v y7)=1

Fork  08/2016 chart


   

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