I thought that I was clear in my previous post, but I guess not. Let me write it out for you.
Have this in your HTML (notice the "1"):
<input name="chkvisible" type="checkbox" id="chkvisible" value="1">
Then in PHP do something like this:
// If chvisible is one, then $emailvis will be one, otherwise zero is assigned
$emailvis = (isSet($_POST['chkvisible']) && '1' == $_POST['chkvisible']) ? 1 : 0;
hth.