Bitwise Exclusive Or
Operator

<bitwise-exclusive-or-operator>

^

• For integer operands, the programmatic exclusive or of each bit is the common Boolean exclusive or.

Bitwise Exclusive Or

int × int → int

long × long → long

unsigned int × unsigned int → unsigned int

unsigned long × unsigned long → unsigned long

Name

Bitwise Exclusive Or

Verb Form

exclusive or

Commutativity

Bitwise Exclusive Or is commutative

Associativity

Bitwise Exclusive Or is mathematically associative

Bitwise Exclusive Or is syntactically associative left to right.

Side Effect

Bitwise Exclusive Or has no side effects

• The result is false iff both operands are false.
• The result is true iff either operand is true.
• The boolean OR operation is also known as the logical OR operation.

#include <stdio.h>
#include <stdlib.h>
#include <time.h>

void Display (short A, short B);
void ToBinary (char * Display, short N);

short main () {
  time_t T;
  srand (time (&T));
  Display (2, 7);
  Display (15, 22);
  Display (rand() - 16768, rand() - 16768);
  Display (rand() - 16768, rand() - 16768);
  return 0;
}

void Display (short I, short J) {
  char Binary [17];
  short K;
  K = I ^ J;
  ToBinary (Binary, I);
  printf ("   %6i  %s\n", I, Binary);
  ToBinary (Binary, J);
  printf ("^  %6i  %s\n", J, Binary);
  printf ("   ------  ----------------\n");
  ToBinary (Binary, K);
  printf ("   %6i  %s\n", K, Binary);
  printf ("   ======  ================\n\n");
}

void ToBinary (char * Display, short N) {
  short I;
  I = 15;
  while (I >= 0) {
    Display [I] = (N & 1) + '0';
    N >>= 1;
    --I;
  }
  Display [16] = 0;
}

        2  0000000000000010
^       7  0000000000000111
   ------  ----------------
        5  0000000000000101
   ======  ================

       15  0000000000001111
^      22  0000000000010110
   ------  ----------------
       25  0000000000011001
   ======  ================

      113  0000000001110001
^    8812  0010001001101100
   ------  ----------------
     8733  0010001000011101
   ======  ================

    -3562  1111001000010110
^  -12486  1100111100111010
   ------  ----------------
    15660  0011110100101100
   ======  ================