Verilog Code for 8bit Full Adder


FULL ADDER

Hola Amigos
Adders as we all have used might pose a problem when simulated for very long space complex projects as the results of full adder are not instant. It does take time and the propagation delay increases with time so how do we deal with delay caused by each gate. Here have a look on this basic adder


What we come to know about it is that for C4 we have to wait for C3, similarly for C3 we have to wait for C2. This causes delay and then there comes Carry Look Ahead Adder in limelight. 

One can increase the space complexity of the code to decrease the time for propagation or introduce just faster delays to decrease the propagation delay of the overall adder.

//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js (adsbygoogle = window.adsbygoogle || []).push({}); A basic full adder is a parallel adder which is based on complex circuit to directly induce the carry from the inputs provided.



Now S = Sum and C(-1) = carry from previous addition.
So S = EXOR(A,B,C) and 
C(0) = A.B + EXOR(A,B).C(-1)
Now let  A.B = Gi  and EXOR(A,B) = Pi
So        C0  = G0 + P0 . C-1
C1  = G1 + Pi . C0
C2  = G2 + Pi . C1
C3  = G3 + Pi . C2
C4  = G4 + Pi . C2

SUM = A’B’Cin + A’BC’in  + AB’C’In + ABCin  
Cout = BCin  + ACin + AB

Code for a 8 bit Full Adder


module FA(a,b,c,s,co);
input [7:0]a,b;
output [8:0]s;
output co;
input c;
Carry c1(a[0],b[0],c,s[0],cx0);
Carry c2(a[1],b[1],cx0,s[1],cx1);
Carry c3(a[2],b[2],cx1,s[2],cx2);
Carry c4(a[3],b[3],cx2,s[3],cx3);
Carry c5(a[4],b[4],cx3,s[4],cx4);
Carry c6(a[5],b[5],cx4,s[5],cx5);
Carry c7(a[6],b[6],cx5,s[6],cx6);
Carry c8(a[7],b[7],cx6,s[7],s[8]);
assign co = s[8];
endmodule

module Carry(a,b,c,s,co);
input a,b;
input c;
output s,co;
wire out4;
wire out6;
and (out1,a,b);
xor (out2,a,b);
and (out3,out2,c);
or (out4,out3,out1);
assign co = out4;
xor (out5,a,b);
xor (out6,out5,c);
assign s = out6;
endmodule


//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js (adsbygoogle = window.adsbygoogle || []).push({}); Here is the Test Bench 

module TestCarry;
          // Inputs
          reg [7:0] a;
          reg [7:0] b;
          reg c;
          wire [8:0] s;
          wire co;
          CLA uut (
                   .a(a),
                   .b(b),
                   .c(c),
                   .s(s),
                   .co(co)
          );
          initial begin
                   // Initialize Inputs
                   a = 8’b01101010;
                   b = 8’b10111101;
                   c = 0;
          end
endmodule
Here is the output in action 


Here s[8:0] is the sum c is input carry co is the final carry a[7:0] and b[7:0] are the numbers


So Long

Published by Shashi Suman

I am Shashi Suman. I am passionate about robots, 3D Printing, Verilog and automation. My current dream is make my own 3D printed intelligent robot.

2 thoughts on “Verilog Code for 8bit Full Adder

  1. I get the following error when running :testbench.sv:11: error: Unknown module type: CLA2 error(s) during elaboration.*** These modules were missing: CLA referenced 1 times.***Exit code expected: 0, received: 1

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