<body>
<input id="IsActive" name="IsActive" type="checkbox" value="false">
</body>
<script>
$('#IsActive').change(function () {
var chk = $("#IsActive")
var IsChecked = chk[0].checked
if (IsChecked) {
chk.attr('checked', 'checked')
}
else {
chk.removeAttr('checked')
}
chk.attr('value', IsChecked)
});
</script>