By universal we understand that the magic squares are upside-down and mirror looking independent of magic square sums. This work brings upside-down magic and bimagic squares of order 17 to 32 using only two digits 6 and 9. In case of upside-down, the number 6 becomes 9, and 9 as 6. For the digits {1, 8} and 2, 5}, the magic squares are universal, and given in by author (work1, work2). The same work can easily be extended for the digits {0,1} and {0,8} Similar kind of work for the magic and bimagic squares of orders 3-16 can be seen in author's another work. In some cases, the block-wise constructions are also given. These are for the magic squares of orders, 18, 20, 21, 24, 25, 27, 28, 30 and 32. Moreover, in case of order 25, we have bimagic square, while for the case of order 24, we have semi-bimagic square. The whole work is without use of any programming language. It is just based on the number's combinations.