Bitspinner - BINARY-MULTIPLIER

BINARY-MULTIPLIER

Design a 4-bit multiplier circuit that efficiently computes the product of two 4-bit binary numbers, outputting an 8-bit binary result.

binary-multiplier.v
binary-multiplier_tb.v

module binary_multiplier #(
	parameter DATA_WIDTH = 4
) (
    input wire [DATA_WIDTH-1:0] a,
    input wire [DATA_WIDTH-1:0] b,
    output wire [(2 * DATA_WIDTH)-1:0] c
);

//TODO
 
endmodule

module adder #(
	parameter DATA_WIDTH = 4
) (
	input wire [DATA_WIDTH-1:0] a,
	input wire [DATA_WIDTH-1:0] b,
	output wire [DATA_WIDTH-1:0] c,
    output wire carry_out
);
    wire [DATA_WIDTH-1:0] carry;
    wire [DATA_WIDTH-1:0] sum;

genvar i;

full_adder add0(.a(a[0]), .b(b[0]), .c_in(1'b0), .s(sum[0]), .c_out(carry[0]));
    generate
        for (i = 1; i < DATA_WIDTH; i = i+1 ) begin
            full_adder add(a[i], b[i], carry[i-1], sum[i], carry[i]); 
        end
    endgenerate

assign c = sum;
    assign carry_out = carry[DATA_WIDTH-1];

endmodule

module full_adder(
    input wire a,
    input wire b,
    input wire c_in,
    output wire s,
    output wire c_out
);
    wire c_ha1;
    wire c_ha2;
    wire s_h1_h2;
    
    half_adder ha1(a, b, s_h1_h2, c_ha1);
    half_adder ha2(s_h1_h2, c_in, s, c_h2);

assign c_out = c_ha1 | c_h2;

endmodule

module half_adder (
    input wire a,
    input wire b,
    output wire s,
    output wire c 
);

assign s = a ^ b;
	assign c = a & b;
    
endmodule

`default_nettype none 
 `timescale 1ns/1ns

`define assert(signal, value) \ 
     if (signal !== value) begin \ 
         $display("ASSERTION FAILED at %2d in %m: signal != value", $time); \ 
         $finish; \ 
     end

module multiplier_tb; 
    localparam integer DATA_WIDTH = 4;

reg [DATA_WIDTH-1:0] a; 
	reg [DATA_WIDTH-1:0] b; 
   
   wire [(2 * DATA_WIDTH)-1:0] c;    
   
   binary_multiplier #(.DATA_WIDTH(DATA_WIDTH)) dut ( 
     .a(a), 
     .b(b), 
     .c(c)
   );

initial begin 
     // Initialize signals 
     a = 4'b0000; b = 4'b0000;
     #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b00000000);
     a = 4'b0001; b = 4'b0000;
     #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b00000000);
     a = 4'b0001; b = 4'b0001;
      #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b00000001);
     a = 4'b1111; b = 4'b1111;
     #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b11100001);
     a = 4'b0011; b = 4'b0011;
     #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b00001001);
     a = 4'b1100; b = 4'b1100;
     #1;
     $display("Clock toggled at time %1t, a = %4b, b = %4b, c = %8b", $time, a, b, c); 
     `assert(c, 8'b10010000);
     a = 4'b0000; b = 4'b0000;          
     $display("Success!");
     $finish;      
   end 
   
   initial begin 
     $dumpfile("binary_multiplier.vcd"); 
     $dumpvars;  
   end 
 endmodule

Output:

BINARY-MULTIPLIER

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