>>27274275

In the type of number system we use, 10 is TEN. I will capitalise words when I mean quantities. TEN is always ten, five plus five. 10 is a representation that means different things in different bases.

A number can be broken down like this:

1234

4

+

10x 3

+

10x10x 2

+

10x10x10x 1

When you add numbers to the left side of the number, they're always a number that is that number times 10x enough times. 10 to the power.

The trick is, 10 is not like 1, 2, 3, 4, 5 or another of the numerals. It can be any number. It just happens to be TEN in the system we use.

What is 10 is TWO? Then we have binary.

0 is still ZERO, 1 is still ONE.

But 10 is TWO.

Then obviously 11, which is 10 + 1 has to be THREE. It's the next number after 10.

But hey, you say, what about 2, 3, 4? Well in binary you don't use them. You just use 1s and 0s. When you add 1 to 11, you carry the 1 twice, and get 100, FOUR. 100 + 1 is 101, of course. 10 x 10 + 1, which is TWO times TWO plus ONE, FIVE. 110? SIX. 111: SEVEN. You get the gist.

Hexadecimal is also a base you might have heard of, except in this case 10 is SIXTEEN. so you go 1, 2, 3... 8, 9 and.. Uh? Well, just add more numerals: A, B, C, D, E, F. A is TEN. C is TWELVE. F is FIFTEEN.

10 is SIXTEEN, 11 is 10 plus 1, SEVENTEEN, 12 is 10 + 2, EIGHTEEN.

100 is 10 x 10, of course. SIXTEEN times SIXTEEN, which is TWO HUNDRED AND FIFTY SIX, or 256 in base TEN. I bet you've heard about that number before. Or it's older brother, FF, 255 in base TEN.

You can do this kind of thing with any number. TWELVE is very popular, because TWELVE is much better at all things than TEN, because you can divide it by more factors. Bases TWO and SIXTEEN are important in computers because they are based around BITS, which are just signals that are turned on (1) or off (0), and hexadecimal is straightforward to read and has a straightforward way to translate into binary. You can transform a binary into hexadecimal or vice versa by just replacing sequences.