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 Abhinav and Annay 
 * SPDX-License-Identifier: Apache-2.0
 */

`default_nettype none

module tt_um_b_10_array_multiplier (
    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
);
// >>> Module Implementation Begin

// <<< Module Implementation End
endmodule




module full_adder (
	input wire a,
	input wire b,
	input wire cin,
	output wire sum,
	output wire cout
);

	assign sum = a ^ b ^ cin;
	assign cout = (a & b) | (a & cin) | (b & cin);
endmodule



Reference solution:
rtl/generated.v: 
wire [3:0] m = ui_in[3:0];
wire [3:0] q = ui_in[7:4];
wire [7:0] p;

	wire m0q0, m1q0, m2q0, m3q0;
	wire m0q1, m1q1, m2q1, m3q1;
	wire m0q2, m1q2, m2q2, m3q2;
	wire m0q3, m1q3, m2q3, m3q3;

	wire [3:0] carry_adders_1;
	wire [3:0] carry_adders_2;
	wire [3:0] carry_adders_3;

	wire [2:0] sum_adders_1;
	wire [2:0] sum_adders_2;

	assign p[0] = m[0] & q[0];

	assign m1q0 = m[1] & q[0];
	assign m2q0 = m[2] & q[0];
	assign m3q0 = m[3] & q[0];

	assign m0q1 = m[0] & q[1];
	assign m1q1 = m[1] & q[1];
	assign m2q1 = m[2] & q[1];
	assign m3q1 = m[3] & q[1];

	assign m0q2 = m[0] & q[2];
	assign m1q2 = m[1] & q[2];
	assign m2q2 = m[2] & q[2];
	assign m3q2 = m[3] & q[2];

	assign m0q3 = m[0] & q[3];
	assign m1q3 = m[1] & q[3];
	assign m2q3 = m[2] & q[3];
	assign m3q3 = m[3] & q[3];

	full_adder fa0 (.a(m0q1), .b(m1q0), .cin(1'b0), .sum(p[1]), .cout(carry_adders_1[0]));
	full_adder fa1 (.a(m1q1), .b(m2q0), .cin(carry_adders_1[0]), .sum(sum_adders_1[0]), .cout(carry_adders_1[1]));
	full_adder fa2 (.a(m2q1), .b(m3q0), .cin(carry_adders_1[1]), .sum(sum_adders_1[1]), .cout(carry_adders_1[2]));
	full_adder fa3 (.a(m3q1), .b(1'b0), .cin(carry_adders_1[2]), .sum(sum_adders_1[2]), .cout(carry_adders_1[3]));

	full_adder fa4 (.a(m0q2), .b(sum_adders_1[0]), .cin(1'b0), .sum(p[2]), .cout(carry_adders_2[0]));
	full_adder fa5 (.a(m1q2), .b(sum_adders_1[1]), .cin(carry_adders_2[0]), .sum(sum_adders_2[0]), .cout(carry_adders_2[1]));
	full_adder fa6 (.a(m2q2), .b(sum_adders_1[2]), .cin(carry_adders_2[1]), .sum(sum_adders_2[1]), .cout(carry_adders_2[2]));
	full_adder fa7 (.a(m3q2), .b(carry_adders_1[3]), .cin(carry_adders_2[2]), .sum(sum_adders_2[2]), .cout(carry_adders_2[3]));

	full_adder fa8 (.a(m0q3), .b(sum_adders_2[0]), .cin(1'b0), .sum(p[3]), .cout(carry_adders_3[0]));
	full_adder fa9 (.a(m1q3), .b(sum_adders_2[1]), .cin(carry_adders_3[0]), .sum(p[4]), .cout(carry_adders_3[1]));
	full_adder fa10 (.a(m2q3), .b(sum_adders_2[2]), .cin(carry_adders_3[1]), .sum(p[5]), .cout(carry_adders_3[2]));
	full_adder fa11 (.a(m3q3), .b(carry_adders_2[3]), .cin(carry_adders_3[2]), .sum(p[6]), .cout(p[7]));


  // All output pins must be assigned. If not used, assign to 0.
  assign uo_out  = p;  // Example: ou_out is the sum of ui_in and uio_in


  assign uio_out = 0;
  assign uio_oe  = 0;

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