Discrete Mathematics Write a program in C++ that takes two propositions \'p\' an

Question

Discrete Mathematics

Write a program in C++ that takes two propositions 'p' and 'q' as input where the two propositions are either True or False. The program produces the truth table of the input combinations of 'p' and 'q' for all the following logical operations. For Example: When the inputs are True and True for 'p' and 'q' and the logical operation is a conjunciton, then, your program must produce the result True.

1. negation

2. conjunction

3. disjunction

4. exclusive or

5. implication

6. biconditional

Explanation / Answer

#include <iostream>

using namespace std;

int main()
{
char p, q;

cout <<"Enter T or F for p='A is truthful': " ;
cin >> p;

cout <<"Enter T or F for q='B is truthful': " ;
cin >> q;

if((p == 'T' || 't') && (q == 'T' || 't'))
{
cout <<"A says 'We are both telling the truth' is TRUE" << endl;
cout <<"B says 'A is lying' is FALSE" << endl;
system("PAUSE");
return 0;
}

if((p == 'F' || 'f') && (q == 'T' || 't'))
{
cout <<"A says 'We are both telling the truth' is FALSE" << endl;
cout <<"B says 'A is lying' is TRUE" << endl;
system("PAUSE");
return 0;
}
if((p == 'T' || 't') && (q == 'F' || 'f'))
{
cout <<"A says 'We are both telling the truth' is FALSE" << endl;
cout <<"B says 'A is lying' is FALSE" << endl;
system("PAUSE");
return 0;
}

if(p == 'F' && q == 'F')
{
cout <<"A says 'We are both telling the truth' is FALSE" << endl;
cout <<"B says 'A is lying' is TRUE" << endl;
system("PAUSE");
return 0;
}

else
{
cout <<"Please use only 'T' or 'F' next time." << endl;
system("PAUSE");
return 0;
}

return 0;
}

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