Writing to memory

The exact answer depends on the details of your system, but assuming you're getting one bit at a time and just want to store them in blockram, then by far the simplest is to use the fact that you can use different bit widths for the two different ports. Eg, you can have one be 1 bit wide and read it out 16-bit at a time on the other.

In the more general case, you can accumulate the bits in a shift register and every time you have collected a word worth of data, you write it to memory.

Untested example code (not production code, but written for illustration):

module memory(
   input clock,
   input serial_in,
   input serial_valid,
   input  read_address,
   output reg  read_data);
  reg  word;
  reg  bits_collected = 0;
  reg  bits = 0;
  reg  write_address = 0;
  always @(posedge clock) begin
    read_data <= word;
    if (serial_valid) begin
       bits <= {serial_in, bits}; // lowest bit first
       bits_collected <= bits_collected + 1;
       if (bits_collected == 32) begin
          word <= bits;
          write_address <= write_address + 1;
          bits_collected <= 1;
       end
  end
endmodule