<form>
    <input type="check" name="option1" value="1">
    <input type="check" name="option2" value="1">
    <input type="check" name="option3" value="1">
    <input type="submit" name="submit" value="submit">
</form>

<?php
    if (ISSET($_POST['submit'])) {
        $option1 = (!EMPTY($_POST['option1'])) ? 1 : 0;
        $option2 = (!EMPTY($_POST['option2'])) ? 1 : 0;
        $option3 = (!EMPTY($_POST['option3'])) ? 1 : 0;
    }

    $query = "INSERT INTO table (option1, option2, option3) VALUES ($option1,$option2,$option3)";