The binary system still confuses me to this day. Any tips and tricks that helped y'all fully understand it?

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Sure. The binary system where a digit is only allowed to be 0 or 1 is outdated, non-inclusive, and wrong. A digit must be allowed to be none of these or any of these.

funnylikesmart

Yes a nonbinary bit is called a Queer bit (Qubit). Qubit is of course the basic unit of quantum computing. See - diversity brings wonderful things even in computer science.

Ps: don't let anyone in Florida legislature see this. They may ban quantum computers.

uplifting

Look up a video on counting to 32 with one hand, and follow along

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F = G \frac{m_1 m_2}{r^2} \quad \text{where} \quad G = 6.674 \times 10^{-11} \, \text{m}^3 \text{kg}^{-1} \text{s}^{-2}, \quad \text{and} \quad m_1, m_2 = \text{"stars in a binary system, not bits!"}

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Lol

Okay, I’ll post a serious answer now.

Binary is on or off. 1 or 0. The reason we say on or off is… you can think of it like a row of switches labelled 1, 2, 4, 8, 16, 32, 128, 256. By switching the different switches in the row “on or off” we can add numbers together to get any number in between.

Say you switch on the first and third switches. That would look like 10100000. That means 1 is active and 4 is active to make 5 (1+4=5).

Each position is a bit, four bits is a nibble, and two nibbles is a byte (8-bits). Using those 8 positions, you can count all the way up to 512 by switching them all on. Add a second set of bits and you can now count all the way up to 1024 (512 byte word + 512 byte word). Add another string of them and you have a 32-bit system.

As for hexadecimal’s relation to binary, it’s easier for our brains to represent the long strings via shorter notation. In hexadecimal you’ve got decimal, 10 numbers, and hex… six numbers. That gives you a base of 16 “numbers” in your radix (root of a number system) and you take up less space when writing out the double byte words instead of writing two binary strings of 8 characters each.

Now, as for what the numbers are good for… well, that depends, but ASCII is my favorite example though. Each letter, number, and character gets a binary address assigned to it. To massively oversimplify things, when you switch on memory locations in a certain combination, it tells the computer to display the letter or character associated with that memory address. You can find ASCII tables online that show what character goes with what address number. It usually shows those addresses in decimal and hexadecimal.

Another use is subnet masking. That’s where you switch on or off various byte places to allow or lock out certain ranges of numbers. That’s called masking. By flipping the bit in a location, you can allow or disallow a range of numbers in each octet of the IP address.

So, what’re you learning binary for? What’s your use case?

helpful

0 is nothing so it's false or off. I use SQL daily and had that taped to my monitor for years!

Learn hexadecimal and learn to convert between hexadecimal and binary.
Then the binary to decimal becomes very easy.
1111= f=15

Huh? Simple either you understand it or you don’t - that’s binary.

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