Yes you can connect the two devices together as shown in the mano.jpeg.
The RTF datasheet clearly identifies the pin connections.
What are you going to use for the other device, another 877 and RTF ?
As mentioned in the RTF datasheet your data has to be Encoded / Decoded by using the 'Manchester' method otherwise your data just gets mixed up with all the other signals using that part of the air waves.
If you are using Assembly code then you can find a working examples here - I have used it ok.
For other compliers you will have to look around. http://www.winpicprog.co.uk/pic_tutorial12.htm
Yes. If you are talking about the RF Tx/RX module, you can connect it directly to any MCU which works at +5V. The module gives a TTL o/p and receives a TTL i/p.
You have to connect Rx pin of module to Tx pin of MCU and connect Tx pin of module to Rx pin of MCU.
"As mentioned in the RTF datasheet your data has to be Encoded / Decoded by using the 'Manchester' method otherwise your data just gets mixed up with all the other signals using that part of the air waves."