Is it an asynchronous serial data communication? If so, the TXD line is always at HIGH state and it gets pull-down for 1-bit period to indicate the START of a new frame and then comes the 8-data bit with LSB first and then the Parity Bit (Even or Odd) and then the STOP Bit. The following diagram of Fig-1 shows an asyn frame of 11-bit length with even parity option. This frame will be automatically generated with Bd = 9600 when the following code is included in a sketch.
Serial.begin(9600, SERIAL_8E1);//1 START Bit, 8 Data Bits, 1 Even Parity Bit, 1 STOP Bit.

Figure-1: