I believe you just need to add some “elses” into your php, like so:
if ( has_post_format( 'aside' )) {
// do some stuff
} elseif ( has_post_format( 'chat' )) {
// do some other stuff
} elseif ( has_post_format( 'gallery' )) {
// do some other stuff
} else {
// this isn't a post format, so do your final stuff
}
Hope that helps – g’luck!