This, a Thread it be!

[CombatEX]

7

In base 10 (what we use), we have the 1's place, 10's place, 100's place, 1000's place, etc.

But there is another way to write this.

1's place = 10^0
10's place = 10^1
100's place = 10^2
1000's place = 10^3

and so on

So binary is "base-2" so to speak.

1's place = 2^0
2's place = 2^1
4's place = 2^2
8's place = 2^3

and so on

So this means that if you want to write two in base-2, you have 0 in the 1's place and 1 in the 2's place. That is, 10. Three would be 1 in the 1's place and 1 in the 2's place so 11.

I should also mention that in base-10 the highest single digit number allowed is 9 (10-1) so in base-2 the highest single digit number is 1 (2-1). When you get past 9 in base-10 you have to go to the next place and likewise when you get past 1 in base 2 you need to go to the next place.

Seven in base-2 is 1 in the 4's place, 1 in the 2's place, 1 in the 1's place so 111. (1*4+1*2+1*1=7).

Ten in base-2 is 1010 (1*8+0*4+1*2+0*1=10).