True and False for && logic and || Logic table

Question

Table true/false for C Language

I have heard of a table true false for C Language for and && or || is kind of the mathematics one for which they say if true+tru

Answer 1

I`d like to add to the already good answers:

The symbols '+', '*' and '-' are sometimes used as shorthand in some older textbooks for OR,∨ and AND,∧ and NOT,¬ logical operators in Bool`s algebra. In C/C++ of course we use "and","&&" and "or","||" and "not","!".

Watch out: "true + true" evaluates to 2 in C/C++ via internal representation of true and false as 1 and 0, and the implicit cast to int!

int main ()
{
  std::cout <<  "true - true = " << true - true << std::endl;
// This can be used as signum function:
// "(x > 0) - (x < 0)" evaluates to +1 or -1 for numbers.
  std::cout <<  "true - false = " << true - false << std::endl;
  std::cout <<  "false - true = " << false - true << std::endl;
  std::cout <<  "false - false = " << false - false << std::endl << std::endl;

  std::cout <<  "true + true = " << true + true << std::endl;
  std::cout <<  "true + false = " << true + false << std::endl;
  std::cout <<  "false + true = " << false + true << std::endl;
  std::cout <<  "false + false = " << false + false << std::endl << std::endl;

  std::cout <<  "true * true = " << true * true << std::endl;
  std::cout <<  "true * false = " << true * false << std::endl;
  std::cout <<  "false * true = " << false * true << std::endl;
  std::cout <<  "false * false = " << false * false << std::endl << std::endl;

  std::cout <<  "true / true = " << true / true << std::endl;
  //  std::cout <<  true / false << std::endl; ///-Wdiv-by-zero
  std::cout <<  "false / true = " << false / true << std::endl << std::endl;
  //  std::cout <<  false / false << std::endl << std::endl; ///-Wdiv-by-zero

  std::cout <<  "(true || true) = " << (true || true) << std::endl;
  std::cout <<  "(true || false) = " << (true || false) << std::endl;
  std::cout <<  "(false || true) = " << (false || true) << std::endl;
  std::cout <<  "(false || false) = " << (false || false) << std::endl << std::endl;

  std::cout <<  "(true && true) = " << (true && true) << std::endl;
  std::cout <<  "(true && false) = " << (true && false) << std::endl;
  std::cout <<  "(false && true) = " << (false && true) << std::endl;
  std::cout <<  "(false && false) = " << (false && false) << std::endl << std::endl;

}

yields :

true - true = 0
true - false = 1
false - true = -1
false - false = 0

true + true = 2
true + false = 1
false + true = 1
false + false = 0

true * true = 1
true * false = 0
false * true = 0
false * false = 0

true / true = 1
false / true = 0

(true || true) = 1
(true || false) = 1
(false || true) = 1
(false || false) = 0

(true && true) = 1
(true && false) = 0
(false && true) = 0
(false && false) = 0