I bought Anaren A2541R24A module which contains СС2541 chip. It was a great mistake, because this module seems too old - its firmware isn't supported even by a manufacturer and I didn't find an exchange protocol myself.
What I need is a simple application where two BT modules make a bridge for UART communication (SPP Bluetooth profile). I found some description of that application but for CC2640 chip only ("CC2640 UART to BLE Bridge"). Is there the same application for CC2541 chip?