BattleDwarfGimli on Nostr: "So, how does binary work anyway?" The ones column can only contain 0 or 1 in it in ...
"So, how does binary work anyway?"
The ones column can only contain 0 or 1 in it in binary. (In contrast, the ones column in decimal notation can contain 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 in it.)
Once the ones column is filled up, you need to start using the twos column. (Just like 9 + 1 requires you to move to the tens column and write 10 in decimal.)
So if you have 1 in binary, and you add 1. You have to express it as 10 but this means two.
That means:
1 * 21 + 0 * 20, i.e. "1 two plus 0 ones."
Just like in decimal notation 10 means
1 * 101 + 0 * 100, i.e. "1 ten plus 0 ones."
Similarly, when you need to add 7 and 1 in binary it looks like this:
111 + 1 = 1000
seven is 111 = (1 * 22) + (1 * 21) + (1 * 20), i.e. "1 four plus 1 two plus 1 one."
one is 1 = (1 * 20), i.e. "1 one."
eight is 1000 = (1 * 23) + (0 * 22) + (0 * 21) + (0 * 20), i.e. "1 eight plus 0 fours plus 0 twos plus 0 ones."
[cries, continues to be MathTarded.]
The ones column can only contain 0 or 1 in it in binary. (In contrast, the ones column in decimal notation can contain 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 in it.)
Once the ones column is filled up, you need to start using the twos column. (Just like 9 + 1 requires you to move to the tens column and write 10 in decimal.)
So if you have 1 in binary, and you add 1. You have to express it as 10 but this means two.
That means:
1 * 21 + 0 * 20, i.e. "1 two plus 0 ones."
Just like in decimal notation 10 means
1 * 101 + 0 * 100, i.e. "1 ten plus 0 ones."
Similarly, when you need to add 7 and 1 in binary it looks like this:
111 + 1 = 1000
seven is 111 = (1 * 22) + (1 * 21) + (1 * 20), i.e. "1 four plus 1 two plus 1 one."
one is 1 = (1 * 20), i.e. "1 one."
eight is 1000 = (1 * 23) + (0 * 22) + (0 * 21) + (0 * 20), i.e. "1 eight plus 0 fours plus 0 twos plus 0 ones."
[cries, continues to be MathTarded.]