$arr = array (
    array (0, 0, 0),
    array (0, 0, 1),
    array (0, 1, 0),
    array (0, 1, 1),
    array (1, 0, 0),
    array (1, 0, 1),
    array (1, 1, 0),
    array (1, 1, 1),
);

foreach ($arr as $v) {
    $x = $v[0];
    $y = $v[1];
    $z = $v[2];
    $f = (!$x & !$y & $z) | (!$x & $y & !$z) | ($x & !$y & !$z);
    echo $x . $y . $z . ' ' . $f . PHP_EOL;
}