In C++, Create a program that can try out every possible logical combination of the variables...

In C++, Create a program that can try out every possible logical combination of the variables A, B, and C, and determine which combinations will yield a true statement. Take note that there are eight different possible combinations of the three variables. Make certain you test all eight of the combinations.

(1) (A and B) or (A and C)

(2) (A and C) and (B and !C)

(3) (A or B) and !(B or C)

(4) (A or (!A and C)) and (!A and !B)

(5) ((B and C) or (C and A)) and ((A or B) and C)

Expert Solution

#include<iostream>
using namespace std;

int main()
{
   cout<<"(1)Testing: expression : (A and B) or (A and C)\n";
   bool a[] = {true,false};
int c=0;
cout<<" A | B | C | (A and B) or (A and C)\n";
   for(int i=0;i<2;i++)
       for(int j=0;j<2;j++)
       for(int k=0;k<2;k++)
           {
               bool A = a[i];
               bool B = a[j];
               bool C= a[k];
               bool result =( (A && B) || (A && C) );//(A and B) or (A and C)
               if(result)c++;
               cout<<boolalpha<<A<<"|";
               cout<<boolalpha<<B<<"|";
               cout<<boolalpha<<C<<"|";
               cout<<boolalpha<<result<<endl;
           }
   if(c==8)cout<<"(A and B) or (A and C) is True Statement\n";
   c=0;

   cout<<"(2)Testing: expression : (A and C) and (B and !C)\n";
cout<<" A | B | C | (A and C) and (B and !C)\n";
   for(int i=0;i<2;i++)
       for(int j=0;j<2;j++)
       for(int k=0;k<2;k++)
           {
               bool A = a[i];
               bool B = a[j];
               bool C= a[k];
               bool result =( (A && C) || (B && !C) );// (A and C) and (B and !C)
               if(result)c++;
               cout<<boolalpha<<A<<"|";
               cout<<boolalpha<<B<<"|";
               cout<<boolalpha<<C<<"|";
               cout<<boolalpha<<result<<endl;
           }
   if(c==8)cout<<" (A and C) and (B and !C) is True Statement\n";
   c=0;


       cout<<"(3)Testing: expression : (A or B) and !(B or C)\n";
cout<<" A | B | C | (A or B) and !(B or C)\n";
   for(int i=0;i<2;i++)
       for(int j=0;j<2;j++)
       for(int k=0;k<2;k++)
           {
               bool A = a[i];
               bool B = a[j];
               bool C= a[k];
               bool result =( (A || B) && !(B || C));// (A or B) and !(B or C)
               if(result)c++;
               cout<<boolalpha<<A<<"|";
               cout<<boolalpha<<B<<"|";
               cout<<boolalpha<<C<<"|";
               cout<<boolalpha<<result<<endl;
           }
   if(c==8)cout<<" (A or B) and !(B or C) is True Statement\n";
   c=0;


       cout<<"(4)Testing: expression : (A or (!A and C)) and (!A and !B)\n";
cout<<" A | B | C | (A or (!A and C)) and (!A and !B)\n";
   for(int i=0;i<2;i++)
       for(int j=0;j<2;j++)
       for(int k=0;k<2;k++)
           {
               bool A = a[i];
               bool B = a[j];
               bool C= a[k];
               bool result =( (A || (!A && C)) and (!A && !B) );// (A or (!A and C)) and (!A and !B)
               if(result)c++;
               cout<<boolalpha<<A<<"|";
               cout<<boolalpha<<B<<"|";
               cout<<boolalpha<<C<<"|";
               cout<<boolalpha<<result<<endl;
           }
   if(c==8)cout<<" (A or (!A and C)) and (!A and !B) is True Statement\n";
   c=0;


       cout<<"(5)Testing: expression : ((B and C) or (C and A)) and ((A or B) and C)\n";
cout<<" A | B | C | ((B and C) or (C and A)) and ((A or B) and C)\n";
   for(int i=0;i<2;i++)
       for(int j=0;j<2;j++)
       for(int k=0;k<2;k++)
           {
               bool A = a[i];
               bool B = a[j];
               bool C= a[k];
               bool result =( ((B && C) || (C && A)) && ((A || B) && C) );// ((B and C) or (C and A)) and ((A or B) and C)
               if(result)c++;
               cout<<boolalpha<<A<<"|";
               cout<<boolalpha<<B<<"|";
               cout<<boolalpha<<C<<"|";
               cout<<boolalpha<<result<<endl;
           }
   if(c==8)cout<<"((B and C) or (C and A)) and ((A or B) and C) is True Statement\n";
   c=0;
}

output:

Process exited normally.
Press any key to continue . . .

venereology answered 2 hours ago

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