numbers need maximum of digitsso the typical digit characters and work fine the problem comes when we go beyond base we can no longer simply use the remaindersas they are themselves represented as two-digit decimal numbers instead we need to create set of digits that can be used to represent those remainders beyond import stack as previously defined def base_converter(dec_numberbase)digits " abcdefrem_stack stack(while dec_number rem dec_number base rem_stack push(remdec_number dec_number /base new_string "while not rem_stack is_empty()new_string new_string digits[rem_stack pop()return new_string print(base_converter( )print(base_converter( ) solution to this problem is to extend the digit set to include some alphabet characters for examplehexadecimal uses the ten decimal digits along with the first six alphabet characters for the digits to implement thisa digit string is created that stores the digits in their corresponding positions is at position is at position is at position is at position and so on when remainder is removed from the stackit can be used to index into the digit string and the correct resulting digit can be appended to the answer for exampleif the remainder is removed from the stackthe digit is appended to the resulting string self check what is the value of expressed as an octal number what is the value of expressed as hexidecimal number what is the value of expressed in base infixprefixand postfix expressions when you write an arithmetic expression such as *cthe form of the expression provides you with information so that you can interpret it correctly in this case we know that the variable is being multiplied by the variable since the multiplication operator appears between them the stack abstract data type