使用FPGA实现逐级进位加法器

news2025/1/18 11:47:15

介绍

逐级进位加法器就是将上一位的输出作为下一位的进位输入，依次这样相加。下面以一个8位逐级进位加法器给大家展示。

我增加了电路结构，应该很容易理解吧。

下面我也列举了一位加法器，可以看下。

电路结构

设计文件

1位加法器

library ieee;
use ieee.std_logic_1164.all;
use ieee.std_logic_arith.all;
entity adder1 is
   port (a,b,cin : in std_logic;
           sum,s : out std_logic);
end adder1;
--architecture
architecture adder1 of adder1 is
begin
   sum <= a xor b xor cin;
   s <= (a and b) or (a and cin) or (b and cin);
end adder1;

8位逐级进位加法器

library ieee;
use ieee.std_logic_1164.all;
entity adder2 is
   generic (length : integer := 8);
   port (a,b : in std_logic_vector(length-1 downto 0);
           cin : in std_logic;
           s : out std_logic_vector(length-1 downto 0);
           output : out std_logic);
end entity;
architecture adder2 of adder2 is
   begin
       process(cin,a,b)
           variable carry :std_logic_vector(length downto 0);
           begin
               carry(0):=cin;
               for i in 0 to length-1 loop
                   s(i) <= a(i) xor b(i) xor carry(i);
                   carry(i+1) := (a(i) and b(i)) or (a(i) and carry(i+1)) or (b(i) and carry(i+1));
               end loop;
           output <= carry(length);
       end process;
end architecture;

测试文件

1位加法器

library ieee;
use ieee.std_logic_1164.all;
use ieee.std_logic_arith.all;
entity tb_adder1 is

end tb_adder1;
architecture adder1 of tb_adder1 is
   component adder1 is
       port (a,b,cin : in std_logic;
           sum,s : out std_logic);
   end component;
   signal a,b,cin,sum,s :std_logic;
   begin
       dut : adder1
       port map (a,b,cin,sum,s);
       process
           begin
               a<='0';
               b<='1';
               cin<='1';
               wait for 10ns;
               cin<='0';
               wait for 10ns;
               a<='1';
               b<='1';
               wait for 10ns;
       end process;
end architecture adder1;

8位逐级进位加法器

library ieee;
use ieee.std_logic_1164.all;
entity tb_adder2 is
   generic (length : integer := 8);
end entity;
architecture adder2 of tb_adder2 is
   component adder2 is
       port (a,b : in std_logic_vector(length-1 downto 0);
               cin : in std_logic;
               s : out std_logic_vector(length-1 downto 0);
               output : out std_logic);
   end component adder2;
   signal a,b,s : std_logic_vector(length-1 downto 0):= "00000000";
   signal cin,output : std_logic := '0';
   begin
   dut : adder2
       port map(
                   a => a,
                   b => b,
                   cin => cin,
                   s => s,
                   output => output);
   process
       begin
           a <= "01111000";
           b <= "10101100";
           cin <= '1';
           wait for 20ns;
           cin <= '0';
           a <= "10011000";
           b <= "10100010";
           wait for 20ns;
   end process;
end architecture;