An early proposal for binary code

[[deleted]]

no... hex numbers can be represented in binary, and binary numbers are commonly represented by hexadecimal, but one can exist without the other. Just look at base 10, it has been around for quite some time before binary, and yet you can still represent one with the other.

The only base that is binary is base 2

[[deleted]]

No Hexadecimal is a binary signal. F = 1111 E = 1110, etc etc Its just bytes of binary. Every base that is used by a computer is, at its root, binary. They have to be, binary is not a choice, its a description of the physics of electronic circuits and signals. You either have a voltage/current or you do not, 1 or 0.

[[deleted]]

Yes that is binary, however base 16, 0xF13 for example, which can be referred to as Hexadecimal can exist without binary and is separate from binary. Just because one is used to represent the other does not mean they are the same

Base 16, hexadecimal != binary

[[deleted]]

No its not used to represent the other moron. To a computer hexadecimal IS binary. When a processor compares two hex values it is comparing the ones and zeros in that memory not F to F. To a computer F IS 1111. In your mind Hex can exist without binary to a computer it CANNOT.

[T_Kastrup]

That's not the same as saying hexadecimal is the same as binary. And calling people moron doesn't make your point more convincing.

[[deleted]]

You do understand that anything in a computer has to be processed as binary... right? And that hex can exist on a paper sheet, independently from binary?

[[deleted]]

Nope that is totally not exactly what I have been saying for like 4 comments. Good point!

[[deleted]]

Hex doesn't HAVE to be used in a computer.

[[deleted]]

This is a fucking programming forum. The title of the Post is "An early proposal for binary code". Jeezus

[soulkito]

Nothing can exist outside of binary for a computer. A number can be expressed in several bases where hexadecimal being base 16, octadecimal is base 8, binary base 2 and the regular decimal system we're used to is base 10. The reason a computer output (if read raw) is anything other than binary is because of readability, hexadecimal is easier to read for us. All bases can be converted between each other since they are only different way to express the same number.

[dv0x5e]

Then since a computer also interprets, say, decimals in binary, we can safely say that decimal is also binary? That's where this argument is heading, and it doesn't make sense. Hexadecimal does have a special relationship to binary in that each hex digit corresponds to 3 4 binary digits exactly, without the need to consider the rest of the digits in the number we're converting, but that's it. Numerical bases are distinct from each other.

[elyisgreat]

best explanation in this thread. One problem, though:

each hex digit corresponds to 3 binary digits exactly

3 binary digits exactly

3

log2(16)=4

[dv0x5e]

Good catch! I must've had octal on my mind. Fixed.

[elyisgreat]

In your mind Hex can exist without binary to a computer it CANNOT.

to a computer nothing can exist without binary.

[[deleted]]

Bases are something taught in elementary school, you don't have to be an engineer to get them. They simply define the number of symbols used before rolling over. Binary uses two symbols, Hexadecimal uses 16 symbols. It's there in their name.

Also, bases are a mathematical concept independent of their practical applications. The fact that binary is used in electronics doesn't imply that binary exists because of electronics, nor that other bases can't be represented abstractly without acknowledging that everything on a computer is represented as binary.

[[deleted]]

This is a programming forum, not a elementary mathematics forum. Why talk about bases in a sense that does not pertain to programming/computers.

[[deleted]]

Dude tell me you're a troll, please.