Bad news. The 11 pin wouldn't fit into the Xperia's 5 pin. I thought it was backwards compatible! I tried finding adapter from 11 pin to 5 pin, but it does not exist. I guess I will give this to my brother since he has a note 3.
Side note, I've tried plugging the adapter with my old Galaxy S3, but I only got 30hz as oppose to the 60hz shown in that tech clove video.
I have a LG 47" LED smart TV if you're wondering.