7 Find the base 9 representation of 10111010101012 Solutionf

7. Find the base 9 representation of 10111010101012.

Solution

first convert to decimal number system

then 1011101010101 = 1 × 2^12 + 0 × 2^11 + 1 × 2^10 + 1 × 2^9 + 1 × 2^8 + 0 × 2^7 + 1 × 2^6 + 0 × 2^5 + 1 × 2^4 + 0 × 2^3 + 1 × 2^2 + 0 × 2^1 + 1 × 2^0

then divided by 9:

9 | 5973 | 6

     54

   -----------

      57 | 6

      54

    -----------

        33 | 3

        27

      ----------

         6

(6366)₉