memes

Yes this is the better version that I've seen too

Base 0.

The alien in the weird suit has 22 fingers

What do you mean? They have 11

When you count up the 1's place, you go 0,1,2,3,4,5,6,7,8,9 and then it rolls over into the 10s place.

But in "base 4", it goes: 0,1,2,3,10,11,12,13,20. 3 is the highest value possible in any of the digits place.

Therefore "10" in base 4 = 4 in base 10, but saying it in base 4 is written as 10.

You can change your base to any base and whatever base it is would have to be written as base 10 because the number above the highest one in that base doesnt exist, it's 10.

Lots of good explanations here, but one thing I'd like to clarify. WHY we add digits together to represent larger numbers. Understanding this helped me to count in binary when I was a young IT technician.

In base 10, we have 10 numbers we use to count everything, each represented by a single digit 0-9. There is no single digit to represent the number 10, so we add a digit to the left and start over at 0 on the right. Hence, the number 10. Then 11-19 in serial.

But we've run out of digits to use again. So we add another digit to the left and start over on the right. Thus, 20.

When you get to 100, you're now starting over at the right-most digit and have to fill up both right digits before the left digit moves up one.

Same goes for binary, where the only two digits are 0 and 1. Once you've counted to one, you've run out of digits to use, so you add a 1 to the left and start over on the right. So 2 is written as 10 in binary. Then 3 is 11. Then you've run out of digits again, so you add another one to the far left and start over. 4 is 100. 5 is 101. 6 is 110. 7 is 111. No more space, so add another 1 to the left and start over. 8 is 1000. 9 is 1001. 10 is 1010. 11 is 1011. 12 is 1100. And so on...

With computers, we sometimes use a hexadecimal numbering system, also known as base 16 (hex = 6, deca = 10). In this case, we need 16 unique digits before we start reusing them. So we borrow from the alphabet. We use 0-9, then go through A-F before we add a 1 to the left and start over at 0.

You can literally create a base-anything and use that to count numbers. Once you figure out how we add digits to count, it's super easy!

The number to describe a base is always the number 10 in that base

For example binary is base 2, it has only 1 and 0 as digits, and 2 in binary is 10.

Similarly for 4, and base 10.

So no matter what your numbering system is, with that system it is always base “10”

Every base has a 10. Base 4 numbering goes 1, 2, 3, 10, 11, 12, 20 etc...

Base 16 is used all the time in computer science. The symbols for 9+ aren't arcane or unrecognizable it's 0 1 2 3 4 5 6 7 8 9 A B C D E F. It's often written with an 0X in front to indicate hexadecimal or something like 'h for hex and 'd for decimal.

Examples:

• 'h7 = 'd7
• 'hC = 'd12
• 'hF = 'd15
• 'h7CF = 'd(7 × 16^2^) + (12 × 16^1^) + (15 × 16^0^) = 'd1792 + 'd192 + 'd15 = 'd1999

All your base

For funzies convert your numbers to floats, and operate on bits.