<?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";
}
?>
--- 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
--- 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