binaries v2

aight, so bits have different powers based on where they're positioned, just like our regular digit system: the 1 in 1000 is a hundred times as valuable as the 1 in 10

the binary system assigns bits powers starting from 1, and from there on it's the last bit multiplied by two

128 64 32 16 8 4 2 1 - values of bits in a "byte"
  1  0  0  1 0 1 0 1 - the number stored in this byte

now, we'll simply add up the numbers above each high (1) bit: 128+16+4+1 = 149



naturally, this process works the other way around as well... say we have the number 167.

we'll start by finding the biggest power we can subtract from our number so it doesn't become negative. Right now it's 128, so we do 167-128 and get 39. Now we put a 1 below 128.

next, we can't subtract 64, so we put a 0 below that. 32 is fine, giving us 7 and a 1 below 32.

next number we can subtract is 4, putting 0 below 16 and 8, and 1 below 4... now we are only left with 3, putting a 1 below 2 and 1 as well

128 64 32 16 8 4 2 1 - values of bits in a "byte"
  1  0  1  0 0 1 1 1 - the calculated binary number