Converting decimal/integer to binary - how and why it works the way it does?

Question

As already asked David in a comment of an answer here, I\'m really interested on how this function works, since I can\'t seem to get the same (correct) values if changing re

Answer 1

had to write this for my South African IT Grade 12 Final Examinations 2020 Exam. it was in a GUI app, for this example i used a console app.

program IntToBinary;
    
    {$APPTYPE CONSOLE}
    
    {$R *.res}
    
    uses
      System.SysUtils,StrUtils;
    
    var
    i,iNumber,iReminder:integer;
    sTemp:string;
    sBinary:string;
    begin
      try
        { TODO -oUser -cConsole Main : Insert code here }
          Writeln('Enter integer number:');
          Readln(Input,iNumber);
          sTemp:= '';
          repeat
          iNumber := iNumber DIV 2;
          iReminder:= iNumber MOD 2;
          sTemp:= sTemp+' '+inttostr(iReminder);
          until (iNumber = 0);
    
          sBinary:= AnsiReverseString(sTemp);
          Writeln(sBinary);
          readln;
    
      except
        on E: Exception do
          Writeln(E.ClassName, ': ', E.Message);
      end;
    end.