How do bases work in maths? Especially decimal ones.

Question

I can wrap my head around how a base of two would work.

But how would a base of 12 would work? What would come after 10?

**And how would a decimal base work?? that’s even more confusing.**

In: 0

Answer 1

The base is how many symbols there are per digit.

Base two means 2 symbols per digit. We pick 0 and 1 (binary)

So there’s 0 and 1, but what comes next? A new digit ’10’

In any base geater than 10, you can substitute the next symbol with a letter, for example it is customary to use the numbers 0 thru 9 as well as the letters A thru F for base 16 (hexidecimal). If you want to represent the value 16 you’ll need a second digit, ’10’.