Converting from base 10: method 2 For this second method of converting from base 10, we consider the results of progressively dividing a number by 10, for example: 2473 : 10 = 247R3 247 : 10 = 24R7 24 : 10 = 2R4 2 : 10 = 0R2 Note that here the column of remainders, backwards, represents the original number. If can repeat this process by dividing by another number n, the column of remainders will be a representation of that number in base n. Exercise Use method 2 to convert 247310 into base 8. Note down your solution before you continue. In summary, to use this method to convert a number x from base 10 to base n: 1. Divide xby ni.e. x = kn + r 2. Divide k from the previous step by n. 3. Repeat Step 2 until k = 0. 4. The remainders at each step, read from the bottom-up, make up the digits of your new base