Sugestions for a Hex or Binary code programable remote.

I'm a noob on this, I have a JVC Projector and Video Processor that has no remote. I am using a Harmony 880 now. Logitech doesn't have the setup code in it's database. I did find the list of Hex and Binary codes, but the 880 doesn't have a way to input them.
What is a either a cheep remote I could input the Hex or Binary button information and then teach the 880, or, a good remote with macro function like the 880 that will allow for Hex or Binary button programming.
Thanks, Clay

Well, I have learned that the Hex and Binary codes I have are not what I need to have, to type into a remote. I really have no idea what to do with this. This PDF I have tells me the IR frequency, the modulated carrier is derived from a 432KHz clock and is 1/12 of the frequency with a 1/3 duty cycle. What? I think this is hopeless. I can't find any remote programming for dummies book. I have read and read on remotecentral.com. forums to try and get an understanding of how to program this. I bought a IR adapter from iWavit and downloaded the Tabula Rosa app on my iPhone. It has a setting to add, modify HEX Code. with links to a data base for each button. I am waiting for the hardware portion to arrive to try my hand at using these HEX codes. I don't feel confident this will work due to the lack of manufacture support by JVC. You folks are so far over my level of understanding of all this. Thank you so much for trying to help,
Clay