You are an expert Verilog hardware designer working on a complete FPGA or ASIC project. You are given the full source code of a Verilog project. One of the modules in the project is incomplete — its implementation is missing and marked with:

// >>> Module Implementation Begin

// <<< Module Implementation End

Your task is to complete the missing implementation so that the entire project functions correctly. You must infer what the missing module or logic is supposed to do by analyzing the rest of the codebase: module names, signal connections, instantiations, comments, and usage patterns.

Follow these rules:

1. Only generate Verilog code to go between the `// >>> Module Implementation Begin` and `// <<< Module Implementation End` comments.
2. Use Verilog-2001 syntax. Ensure the code is synthesizable.
3. Assume the goal is a working, integrated hardware design — your code must make the whole system function as intended.
4. Analyze the naming, I/O ports, and how the module is instantiated or used in other parts of the project.
5. Implement correct behavior based on design context. Do not guess randomly — reason it out.
6. Avoid vendor-specific features unless explicitly required.
7. Do not output comments, explanation, or anything outside the required code region unless explicitly asked.

Your output should contain **only the Verilog code** that fits inside the marked region.

/*
 * Copyright (c) 2024 Your Name
 * SPDX-License-Identifier: Apache-2.0
 */

`default_nettype none

module tt_um_m4rthaswur1d (
    input  wire [7:0] ui_in,    // Dedicated inputs
    output wire [7:0] uo_out,   // Dedicated outputs
    input  wire [7:0] uio_in,   // IOs: Input path
    output wire [7:0] uio_out,  // IOs: Output path
    output wire [7:0] uio_oe,   // IOs: Enable path (active high: 0=input, 1=output)
    input  wire       ena,      // always 1 when the design is powered, so you can ignore it
    input  wire       clk,      // clock
    input  wire       rst_n     // reset_n - low to reset
);

  // All output pins must be assigned. If not used, assign to 0.
    wire [3:0] m = ui_in[7:4]; 
    wire [3:0] q = ui_in[3:0];
    wire [7:0] p; 
wire int_sig2, int_sig3, int_sig4, int_sig5, int_sig6, int_sig7, int_sig8, int_sig9, 
int_sig10, int_sig11, int_sig12, int_sig13, int_sig14, int_sig15, int_sig16, int_sig_out1 ,int_sig_out2, int_sig_out3, 
int_sig_out4, int_sig_out5, int_sig_out6 ;

wire carryout1, carryout2, carryout3, carryout4, carryout5, carryout6, carryout7, carryout8, carryout9,
carryout10, carryout11;

assign p[0] = m[0] & q[0];
assign int_sig2 = m[1] & q[0];
assign int_sig3 = m[2] & q[0];
assign int_sig4 = m[3] & q[0];
assign int_sig5 = m[0] & q[1];
assign int_sig6 = m[1] & q[1];
assign int_sig7 = m[2] & q[1];
assign int_sig8 = m[3] & q[1];

assign int_sig9 = m[0] & q[2];
assign int_sig10 = m[1] & q[2];
assign int_sig11 = m[2] & q[2];
assign int_sig12 = m[3] & q[2];

assign int_sig13 = m[0] & q[3];
assign int_sig14 = m[1] & q[3];
assign int_sig15 = m[2] & q[3];
assign int_sig16 = m[3] & q[3];

full_adder inst1 (int_sig2, int_sig5, 1'b0, carryout1, p[1]);
full_adder inst2 (int_sig3, int_sig6, carryout1, carryout2, int_sig_out1);
full_adder inst3 (int_sig4, int_sig7, carryout2, carryout3, int_sig_out2);
full_adder inst4 (1'b0, int_sig8, carryout3, carryout4, int_sig_out3);

full_adder inst5 (int_sig_out1, int_sig9, 1'b0, carryout5, p[2]);
full_adder inst6 (int_sig_out2, int_sig10, carryout5, carryout6, int_sig_out4);
full_adder inst7 (int_sig_out3, int_sig11, carryout3, carryout7, int_sig_out5);
full_adder inst8 (carryout4, int_sig12, carryout7, carryout8, int_sig_out6);

full_adder inst9 (int_sig_out4, int_sig13, 1'b0, carryout9, p[3]);
full_adder inst10 (int_sig_out5, int_sig14, carryout9, carryout10, p[4]);
full_adder inst11 (int_sig_out6, int_sig15, carryout10, carryout11, p[5]);
full_adder inst12 (carryout8, int_sig16, carryout11, p[7], p[6]);
  assign uio_out = 0;
  assign uio_oe  = 0;
    assign uo_out = p; 

  // List all unused inputs to prevent warnings
    wire _unused = &{ena, clk, uio_in, rst_n, 1'b0};

endmodule

module full_adder(
    input a, 
    input b,
    input c,
    output carry,
    output sum
    );
// >>> Module Implementation Begin

// <<< Module Implementation End
endmodule




Reference solution:
rtl/generated.v:     
assign sum = a ^ b ^ c; 
assign carry  = (a&b) | (b&c) | (a&c) ;