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module top_module( 
    input [99:0] a, b,
    input cin,
    output [99:0] cout,
    output [99:0] sum );
    
    assign cout[0] = a[0] & b[0] | a[0] & cin | b[0] & cin;
    assign sum[0]  = a[0] ^ b[0] ^ cin;
    
    integer i, j;
    
    always @ (*)
        begin
            for (i=1; i<100; i++)    
                begin
                    sum[i]  = a[i] ^ b[i] ^ cout[i-1];
                end
        end
    
    always @ (*)
        begin
            for(i=1; i<100; i++)
                begin
                    cout[i] = a[i] & b[i] | a[i] & cout[i-1] | b[i] & cout[i-1];  
                end
        end


endmodule

module top_module( 
    input [3:0] in,
    output [2:0] out_both,
    output [3:1] out_any,
    output [3:0] out_different);
		
    assign out_both      = {{in[3] & in[2]}, {in[2] & in[1]}, {in[1] & in[0]}};
    assign out_any	 = {{in[3] | in[2]}, {in[2] | in[1]}, {in[1] | in[0]}};
    assign out_different = {{in[0] ^ in[3]}, {in[3] ^ in[2]}, {in[2] ^ in[1]}, {in[1] ^ in[0]}};

endmodule

module top_module( 
    input [15:0] a, b,
    input cin,
    output cout,
    output [15:0] sum );
    
    wire [4:0] c;
    
    assign c[0] = cin;
    assign cout = c[4];
    generate
        genvar i;
        for (i = 0; i < 4; i = i + 1) begin : adders
            bcd_fadd the_bcd_fadders ( 
                .a(a[i*4+3 : i*4]), 
                .b(b[i*4+3 : i*4]), 
                .cin(c[i]), 
                .cout(c[i+1]), 
                .sum(sum[i*4+3 : i*4]) 
            );
        end
    endgenerate

endmodule