I was actually impressed I understood it even if it took me 3-4 readings.. Tehehehe
Though this is just the tip of the iceberg when it comes to this xD
Divide any decimal number by 2 repeatedly until you get zero and take the remainder... you get binary in reverse order.
11 ÷ 2 = 5 (remainder of 1)
5 ÷ 2 = 2 (remainder 1)
2 ÷ 2 = 1 (no remainder, so 0)
1 ÷ 2 = 0 (remainder 1, technically .5 rounds up)
1011²
remember, the last number divided is the first digit, since its reversed.
2 ÷ 2
and
1 ÷ 2
Can be confusing in your head, but as long as you remember that, larger numbers are simple since you don't generally need to concern yourself with the decimal point. Even numbers will be 0, odd numbers will be 1.
Converting back is a bit more confusing.
Digit * base^position (put simply)
starting from the right of 1011
1 - position 0
1 - position 1
0 - position 2
1 - position 3
Binary is base 2, Decimal is 10, etc.
1 * 2^0 = 1
1 * 2^1 = 2
0 * 2^2 = 0
1 * 2^3 = 8
8 + 4 + 2 = 11
Now you can turn that tip of an iceberg into what sunk the titanic...if you actually have any interest.
All conversions can be done with the same general math, but I'm not going to write a (nother) article here, especially getting into hex letters.
I apologize to the entire user base that doesn't give a shit for posting this in the forum lol.