flag1 = True
while flag1:
    flag2 = True
    flag3 = True
    flag4 = True
    while flag2:
        divisor = input("convert base10 to a base between 2 and 9.\nenter a base or E to exit: ")

        if divisor.upper() == "E":
            print("exiting program...")
            flag1 = False
            break

        try:
            int(divisor)
        except:
            print("error, input invalid")
            break

        if int(divisor) < 2 or int(divisor) > 9:
            print("error, number out of range")
            break

        flag4 = True

        while flag4:
            while flag3:
                base10 = input("Enter a number base10: ")
                basex = []

                try:
                    int(base10)
                except:
                    print("error, input invalid")
                    break

                while base10 != 0:
                    num = int(base10)%int(divisor)
                    basex.append(str(num))
                    base10 = int(base10)//int(divisor)
                    #print(num, base10)

                print("base" + divisor + ": ", "".join(basex[::-1]))
                flag4 = False
                break