Question

1. What are the two things the base of a number system tells you? After describing these two things, illustrate each with examples using base 8?

Answer 1

Using our normal decimal numbering system, the base of a number system, for example 8, tells us two things

1. Each digit is an integer that uses numbers from 0 to 7. There are 8 possible values for a digit
2. We multiply each digit by a power of 8 depending on the position of the digit.

If we use number 112 to (base 8), then; 

(1 x 8 to the power of 2) + (1 x 10 to the power of 1) + (2 x 8 to the power of 0).