Using created ALU to make a bigger one - verilog

Question

I have a 8-bit ALU unit in verilog that can do addition, invert, etc. This single unit is tested and performs correctly. When I combine 4 of these to make a bigger ALU every output is correct except when I choose the addition operation it comes out as
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx01010101, basically the first alu does the work right then the output from the second is xxxxxxxx as is the third and fourth. This is really frustrating!!
the 8 bit module( it would be nice to point if this model is behavioral or structural model i go for the former!)
module alu_8bit(
output reg [7:0] out,
output reg cout,g,e,
input [7:0] A,B,
input cin,
input [2:0] S
);
//used functions
parameter BUF_A = 3'b000;
parameter NOT_A = 3'b001;
parameter ADD = 3'b010;
parameter OR = 3'b011;
parameter AND = 3'b100;
parameter NOT_B = 3'b101;
parameter BUF_B = 3'b110;
parameter LOW = 3'b111;
always #(A or B or S) begin
//Comparator
g = A>B;
e = A==B;
//Other selective functions
case(S)
BUF_A: out = A;
NOT_A: out = ~A;
ADD: {cout,out} = A+B+cin;
OR: out = A | B;
AND: out = A & B;
NOT_B: out = ~B;
BUF_B: out = B;
LOW: out = {8{1'b0}};
endcase
end
endmodule
Here is the code of the bigger one:
module alu_32bit(
output [31:0] out,
output cout,g,e,
input [31:0] A,B,
input cin,
input [2:0] S
);
wire e1,e2,e3,e4;
wire g1,g2,g3,g4;
alu_8bit ALU1(out[7:0],cin2,g1,e1,A[7:0],B[7:0],cin,S);
alu_8bit ALU2(out[15:8],cin3,g2,e2,A[15:8],B[15:8],cin2,S);
alu_8bit ALU3(out[23:16],cin4,g3,e3,A[23:16],B[23:16],cin3,S);
alu_8bit ALU4(out[31:24],cout,g4,e4,A[31:24],B[31:24],cin4,S);
assign g = g4 | (e4 & g3) |(e4 & e3 & g2) | (e4& e3 & e2 & g1);
assign e = e4 & e3 & e2 & e1;
endmodule
Can any one give some help?! if you need more info just tell me.
Edited:
Waveform pic clearly input comes in correct but output not
The dataflow diagram shows that ALU1 output is just fine

Answer 1

Your sensitivity list for the main part of the ALU doesn't include cin.