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Which of the following expressions is written in normal form?       (P AND Q) OR ((P OR R') AND (Q OR S'))        (P AND Q) OR NOT(P AND Q AND R)       (P AND Q') OR (P AND Q AND R')       (P IMPLIES R) OR (Q IMPLIES R

Which of the following expressions is written in normal form?       (P AND Q) OR ((P OR R') AND (Q OR S'))        (P AND Q) OR NOT(P AND Q AND R)       (P AND Q') OR (P AND Q AND R')       (P IMPLIES R) OR (Q IMPLIES R

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following expressions is written in normal form?

   

 

(P AND Q) OR ((P OR R') AND (Q OR S')) 
   

 

(P AND Q) OR NOT(P AND Q AND R)
   

 

(P AND Q') OR (P AND Q AND R')
   

 

(P IMPLIES R) OR (Q IMPLIES R)

 

Expert Solution
Step 1

In normal form no conplement will use in place of complememt we write with NOT

So option first is wrong and option 3rd is also wrong.

Now

(P IMPLIES R) OR (Q IMPLIES R)

It is not possible here we have to write 

(P IMPLIES R) OR (R IMPLIES P) so become right.

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