Bitwise Operators

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- Bitwise Operators

## Bitwise Operators

Bitwise operators allow evaluation and manipulation of specific bits within an integer.

Bitwise Operators
Example | Name | Result
--- | --- | ---
`$a & $b` | And | Bits that are set in both $a and $b are set.
`$a | $b` | Or (inclusive or) | Bits that are set in either $a or $b are set.
`$a ^ $b` | Xor (exclusive or) | Bits that are set in $a or $b but not both are set.
`~ $a` | Not | Bits that are set in $a are not set, and vice versa.
`$a << $b` | Shift left | Shift the bits of $a $b steps to the left (each step means "multiply by two")
`$a >> $b` | Shift right | Shift the bits of $a $b steps to the right (each step means "divide by two")

Bit shifting in PHP is arithmetic. Bits shifted off either end are discarded. Left shifts have zeros shifted in on the right while the sign bit is shifted out on the left, meaning the sign of an operand is not preserved. Right shifts have copies of the sign bit shifted in on the left, meaning the sign of an operand is preserved.

Use parentheses to ensure the desired precedence. For example, `$a & $b == true` evaluates the equivalency then the bitwise and; while `($a & $b) == true` evaluates the bitwise and then the equivalency.

If both operands for the `&`, `|` and `^` operators are strings, then the operation will be performed on the ASCII values of the characters that make up the strings and the result will be a string. In all other cases, both operands will be converted to integers and the result will be an integer.

If the operand for the `~` operator is a string, the operation will be performed on the ASCII values of the characters that make up the string and the result will be a string, otherwise the operand and the result will be treated as integers.

Both operands and the result for the `<<` and `>>` operators are always treated as integers.

         PHP's error_reporting ini setting uses bitwise values,
         providing a real-world demonstration of turning
         bits off. To show all errors, except for notices,
         the php.ini file instructions say to use:
         E_ALL & ~E_NOTICE

         This works by starting with E_ALL:
         00000000000000000111011111111111
         Then taking the value of E_NOTICE...
         00000000000000000000000000001000
         ... and inverting it via ~:
         11111111111111111111111111110111
         Finally, it uses AND (&) to find the bits turned
         on in both values:
         00000000000000000111011111110111

         Another way to accomplish that is using XOR (^)
         to find bits that are on in only one value or the other:
         E_ALL ^ E_NOTICE

         error_reporting can also be used to demonstrate turning bits on.
         The way to show just errors and recoverable errors is:
         E_ERROR | E_RECOVERABLE_ERROR

         This process combines E_ERROR
         00000000000000000000000000000001
         and
         00000000000000000001000000000000
         using the OR (|) operator
         to get the bits turned on in either value:
         00000000000000000001000000000001

Example #1 Bitwise AND, OR and XOR operations on integers

    <?php/* * Ignore the top section, * it is just formatting to make output clearer. */$format = '(%1$2d = %1$04b) = (%2$2d = %2$04b)'        . ' %3$s (%4$2d = %4$04b)' . "\n";echo <<<EOH ---------     ---------  -- --------- result        value      op test ---------     ---------  -- ---------EOH;/* * Here are the examples. */$values = array(0, 1, 2, 4, 8);$test = 1 + 4;echo "\n Bitwise AND \n";foreach ($values as $value) {    $result = $value & $test;    printf($format, $result, $value, '&', $test);}echo "\n Bitwise Inclusive OR \n";foreach ($values as $value) {    $result = $value | $test;    printf($format, $result, $value, '|', $test);}echo "\n Bitwise Exclusive OR (XOR) \n";foreach ($values as $value) {    $result = $value ^ $test;    printf($format, $result, $value, '^', $test);}?>

The above example will output:

     ---------     ---------  -- ---------
     result        value      op test
     ---------     ---------  -- ---------
     Bitwise AND
    ( 0 = 0000) = ( 0 = 0000) & ( 5 = 0101)
    ( 1 = 0001) = ( 1 = 0001) & ( 5 = 0101)
    ( 0 = 0000) = ( 2 = 0010) & ( 5 = 0101)
    ( 4 = 0100) = ( 4 = 0100) & ( 5 = 0101)
    ( 0 = 0000) = ( 8 = 1000) & ( 5 = 0101)

     Bitwise Inclusive OR
    ( 5 = 0101) = ( 0 = 0000) | ( 5 = 0101)
    ( 5 = 0101) = ( 1 = 0001) | ( 5 = 0101)
    ( 7 = 0111) = ( 2 = 0010) | ( 5 = 0101)
    ( 5 = 0101) = ( 4 = 0100) | ( 5 = 0101)
    (13 = 1101) = ( 8 = 1000) | ( 5 = 0101)

     Bitwise Exclusive OR (XOR)
    ( 5 = 0101) = ( 0 = 0000) ^ ( 5 = 0101)
    ( 4 = 0100) = ( 1 = 0001) ^ ( 5 = 0101)
    ( 7 = 0111) = ( 2 = 0010) ^ ( 5 = 0101)
    ( 1 = 0001) = ( 4 = 0100) ^ ( 5 = 0101)
    (13 = 1101) = ( 8 = 1000) ^ ( 5 = 0101)

Example #2 Bitwise XOR operations on strings

    <?phpecho 12 ^ 9; // Outputs '5'echo "12" ^ "9"; // Outputs the Backspace character (ascii 8)                 // ('1' (ascii 49)) ^ ('9' (ascii 57)) = #8echo "hallo" ^ "hello"; // Outputs the ascii values #0 #4 #0 #0 #0                        // 'a' ^ 'e' = #4echo 2 ^ "3"; // Outputs 1              // 2 ^ ((int)"3") == 1echo "2" ^ 3; // Outputs 1              // ((int)"2") ^ 3 == 1?>

Example #3 Bit shifting on integers

    <?php/* * Here are the examples. */echo "\n--- BIT SHIFT RIGHT ON POSITIVE INTEGERS ---\n";$val = 4;$places = 1;$res = $val >> $places;p($res, $val, '>>', $places, 'copy of sign bit shifted into left side');$val = 4;$places = 2;$res = $val >> $places;p($res, $val, '>>', $places);$val = 4;$places = 3;$res = $val >> $places;p($res, $val, '>>', $places, 'bits shift out right side');$val = 4;$places = 4;$res = $val >> $places;p($res, $val, '>>', $places, 'same result as above; can not shift beyond 0');echo "\n--- BIT SHIFT RIGHT ON NEGATIVE INTEGERS ---\n";$val = -4;$places = 1;$res = $val >> $places;p($res, $val, '>>', $places, 'copy of sign bit shifted into left side');$val = -4;$places = 2;$res = $val >> $places;p($res, $val, '>>', $places, 'bits shift out right side');$val = -4;$places = 3;$res = $val >> $places;p($res, $val, '>>', $places, 'same result as above; can not shift beyond -1');echo "\n--- BIT SHIFT LEFT ON POSITIVE INTEGERS ---\n";$val = 4;$places = 1;$res = $val << $places;p($res, $val, '<<', $places, 'zeros fill in right side');$val = 4;$places = (PHP_INT_SIZE * 8) - 4;$res = $val << $places;p($res, $val, '<<', $places);$val = 4;$places = (PHP_INT_SIZE * 8) - 3;$res = $val << $places;p($res, $val, '<<', $places, 'sign bits get shifted out');$val = 4;$places = (PHP_INT_SIZE * 8) - 2;$res = $val << $places;p($res, $val, '<<', $places, 'bits shift out left side');echo "\n--- BIT SHIFT LEFT ON NEGATIVE INTEGERS ---\n";$val = -4;$places = 1;$res = $val << $places;p($res, $val, '<<', $places, 'zeros fill in right side');$val = -4;$places = (PHP_INT_SIZE * 8) - 3;$res = $val << $places;p($res, $val, '<<', $places);$val = -4;$places = (PHP_INT_SIZE * 8) - 2;$res = $val << $places;p($res, $val, '<<', $places, 'bits shift out left side, including sign bit');/* * Ignore this bottom section, * it is just formatting to make output clearer. */function p($res, $val, $op, $places, $note = '') {    $format = '%0' . (PHP_INT_SIZE * 8) . "b\n";    printf("Expression: %d = %d %s %d\n", $res, $val, $op, $places);    echo " Decimal:\n";    printf("  val=%d\n", $val);    printf("  res=%d\n", $res);    echo " Binary:\n";    printf('  val=' . $format, $val);    printf('  res=' . $format, $res);    if ($note) {        echo " NOTE: $note\n";    }    echo "\n";}?>

Output of the above example on 32 bit machines:

    --- BIT SHIFT RIGHT ON POSITIVE INTEGERS ---
    Expression: 2 = 4 >> 1
     Decimal:
      val=4
      res=2
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000000010
     NOTE: copy of sign bit shifted into left side

    Expression: 1 = 4 >> 2
     Decimal:
      val=4
      res=1
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000000001

    Expression: 0 = 4 >> 3
     Decimal:
      val=4
      res=0
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000000000
     NOTE: bits shift out right side

    Expression: 0 = 4 >> 4
     Decimal:
      val=4
      res=0
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000000000
     NOTE: same result as above; can not shift beyond 0

    --- BIT SHIFT RIGHT ON NEGATIVE INTEGERS ---
    Expression: -2 = -4 >> 1
     Decimal:
      val=-4
      res=-2
     Binary:
      val=11111111111111111111111111111100
      res=11111111111111111111111111111110
     NOTE: copy of sign bit shifted into left side

    Expression: -1 = -4 >> 2
     Decimal:
      val=-4
      res=-1
     Binary:
      val=11111111111111111111111111111100
      res=11111111111111111111111111111111
     NOTE: bits shift out right side

    Expression: -1 = -4 >> 3
     Decimal:
      val=-4
      res=-1
     Binary:
      val=11111111111111111111111111111100
      res=11111111111111111111111111111111
     NOTE: same result as above; can not shift beyond -1

    --- BIT SHIFT LEFT ON POSITIVE INTEGERS ---
    Expression: 8 = 4 << 1
     Decimal:
      val=4
      res=8
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000001000
     NOTE: zeros fill in right side

    Expression: 1073741824 = 4 << 28
     Decimal:
      val=4
      res=1073741824
     Binary:
      val=00000000000000000000000000000100
      res=01000000000000000000000000000000

    Expression: -2147483648 = 4 << 29
     Decimal:
      val=4
      res=-2147483648
     Binary:
      val=00000000000000000000000000000100
      res=10000000000000000000000000000000
     NOTE: sign bits get shifted out

    Expression: 0 = 4 << 30
     Decimal:
      val=4
      res=0
     Binary:
      val=00000000000000000000000000000100
      res=00000000000000000000000000000000
     NOTE: bits shift out left side

    --- BIT SHIFT LEFT ON NEGATIVE INTEGERS ---
    Expression: -8 = -4 << 1
     Decimal:
      val=-4
      res=-8
     Binary:
      val=11111111111111111111111111111100
      res=11111111111111111111111111111000
     NOTE: zeros fill in right side

    Expression: -2147483648 = -4 << 29
     Decimal:
      val=-4
      res=-2147483648
     Binary:
      val=11111111111111111111111111111100
      res=10000000000000000000000000000000

    Expression: 0 = -4 << 30
     Decimal:
      val=-4
      res=0
     Binary:
      val=11111111111111111111111111111100
      res=00000000000000000000000000000000
     NOTE: bits shift out left side, including sign bit

Output of the above example on 64 bit machines:

    --- BIT SHIFT RIGHT ON POSITIVE INTEGERS ---
    Expression: 2 = 4 >> 1
     Decimal:
      val=4
      res=2
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000000010
     NOTE: copy of sign bit shifted into left side

    Expression: 1 = 4 >> 2
     Decimal:
      val=4
      res=1
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000000001

    Expression: 0 = 4 >> 3
     Decimal:
      val=4
      res=0
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000000000
     NOTE: bits shift out right side

    Expression: 0 = 4 >> 4
     Decimal:
      val=4
      res=0
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000000000
     NOTE: same result as above; can not shift beyond 0

    --- BIT SHIFT RIGHT ON NEGATIVE INTEGERS ---
    Expression: -2 = -4 >> 1
     Decimal:
      val=-4
      res=-2
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=1111111111111111111111111111111111111111111111111111111111111110
     NOTE: copy of sign bit shifted into left side

    Expression: -1 = -4 >> 2
     Decimal:
      val=-4
      res=-1
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=1111111111111111111111111111111111111111111111111111111111111111
     NOTE: bits shift out right side

    Expression: -1 = -4 >> 3
     Decimal:
      val=-4
      res=-1
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=1111111111111111111111111111111111111111111111111111111111111111
     NOTE: same result as above; can not shift beyond -1

    --- BIT SHIFT LEFT ON POSITIVE INTEGERS ---
    Expression: 8 = 4 << 1
     Decimal:
      val=4
      res=8
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000001000
     NOTE: zeros fill in right side

    Expression: 4611686018427387904 = 4 << 60
     Decimal:
      val=4
      res=4611686018427387904
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0100000000000000000000000000000000000000000000000000000000000000

    Expression: -9223372036854775808 = 4 << 61
     Decimal:
      val=4
      res=-9223372036854775808
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=1000000000000000000000000000000000000000000000000000000000000000
     NOTE: sign bits get shifted out

    Expression: 0 = 4 << 62
     Decimal:
      val=4
      res=0
     Binary:
      val=0000000000000000000000000000000000000000000000000000000000000100
      res=0000000000000000000000000000000000000000000000000000000000000000
     NOTE: bits shift out left side

    --- BIT SHIFT LEFT ON NEGATIVE INTEGERS ---
    Expression: -8 = -4 << 1
     Decimal:
      val=-4
      res=-8
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=1111111111111111111111111111111111111111111111111111111111111000
     NOTE: zeros fill in right side

    Expression: -9223372036854775808 = -4 << 61
     Decimal:
      val=-4
      res=-9223372036854775808
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=1000000000000000000000000000000000000000000000000000000000000000

    Expression: 0 = -4 << 62
     Decimal:
      val=-4
      res=0
     Binary:
      val=1111111111111111111111111111111111111111111111111111111111111100
      res=0000000000000000000000000000000000000000000000000000000000000000
     NOTE: bits shift out left side, including sign bit

Warning

Use functions from the gmp extension for bitwise manipulation on numbers beyond `PHP_INT_MAX`.

### See Also

- pack()
- unpack()
- gmp_and()
- gmp_or()
- gmp_xor()
- gmp_testbit()
- gmp_clrbit()