Will this phone support HD output

[Timzwombat]

I have a great little projector that I can hook up to my phone now I haven't seen any cables that will allow the S4 to be plugged in to an HDMI ready tv.

 

[LoganK]

I have a great little projector that I can hook up to my phone now I haven't seen any cables that will allow the S4 to be plugged in to an HDMI ready tv.

They support MHL. Buy an MHL adapter like this one.

Samsung, with the S III and Note II, had a slightly different MHL connector for various reasons. If the S 4 is similar, you'll want to spend a few dollars on an adapter to the more common MHL connector.

(Or you could buy one Samsung MHL to HDMI adapter, but I always prefer to have standard adapters around.)