Below is my more detailed answer for this "Having no audio out function" on your TV question/solution (for future readers. Might be clearer than my shorter answer above:
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I have a brand new 55" Samsung with
ZERO audio outputs (go figure). My 55" Samsung is a model UN55FH6003F
To solve the problem of improving the sound quality versus using the original on-board internal Samsung TV speakers, I bought an HDMI switcher box that has three "separate" audio outputs as well as an HDMI output and 4 HDMI inputs..
So I have
three HDMI inputs plugged currently "into" the new HDMI switcher box:
(1) HDMI from my cable box
(2) HDMI from my dvd
(3) HDMI from a "Smart" TV internet box (my TV is not a "smart TV" so this box lets me connect my TV to the Internet)
Then
"from" the HDMI switcher box
(1) one
HDMI output to my new TV for the TV video
(2) one separate
audio Digital output for TV sound
The switcher box I am using, gives you choices of three different types/choices of separate audio outputs to plug into your sound system/sound bar/amplifier/surround sound/BOSE Solo:
(a) digital coax audio
(b) digital optical audio
(c) older analog red/white RCA audio
So I have my audio going from the new HDMI switcher box to a separate audio system (could be any receiver/external speakers/home theater/surround sound/whatever).
For sound, I personally hook into a BOSE Solo system using the Digital COAX audio cable. I chose the BOSE unit because I wanted to control our sound volume with a remote. I just turn off or lower the original TV's crummy speakers only using the BOSE for sound. But ANY separate sound system can be hooked in (a separate Amp/sound bar, whatever)
The HDMI switcher box I am using is a Monoprice 5557 pretty cool and not expensive.
http://www.monoprice.com/Product/?c_id=101&cp_id=10110&cs_id=1011002&p_id=5557
GAMERS you will like this!
There also is a 4th (forth) separate HDMI input on the front of the HDMI switcher box unit, that my son uses for his XBox (or you can hook up to any other gaming system). You may need an HDMI adapter/converter for some gaming systems. Our XBox HAS an HDMI "out" function. Adapter/converters are out there. Just found one for a gamer for their Wii.
Hope this helps!