4 Bit Ripple Carry Adder

module full_adder
(
  input  a,
  input  b,
  input  cin,
  output sum,
  output cout
);
 
assign sum = a ^ b ^ cin;
assign cout = (a & b) | ((a^b) & cin);
 
endmodule

// Ripple carry adder.
module rca 
(
 input [3:0] A,
 input [3:0] B,
 output [4:0]  sum
 );
 
wire [4:0]       carry_out;
 
full_adder fa0(.a(A[0]),.b(B[0]),.cin(1'b0),
 	       .cout(carry_out[1]),.sum(sum[0]));
full_adder fa1(.a(A[1]),.b(B[1]),.cin(carry_out[1]),
 	       .cout(carry_out[2]),.sum(sum[1]));
full_adder fa2(.a(A[2]),.b(B[2]),.cin(carry_out[2]),
 	       .cout(carry_out[3]),.sum(sum[2]));
full_adder fa3(.a(A[3]),.b(B[3]),.cin(carry_out[3]),
 	       .cout(carry_out[4]),.sum(sum[3]));
 
// assign the final sum bit.
assign sum[4] = carry_out[4];
 
endmodule