How can I represent a complex type number as a binary type number in order implement a serial communication between my PC and a FPGA?

I developed an UART for HDL Code generation. Because I want to implement a serial communication between my PC and a FPGA.

%Main function

 function xt = ofdm(x)
 %this function returns a xt which is a complex type number

%UART function

 function tx=uart(rx)
 %this uart works with single bits (bstar b0 b1 b2 b3 b4 b5 b6 b7 bstop)

My question is If there is a method to represent xt (complex type number) into binary in order to use my uart function to send data (xt) from the FPGA to my PC.