Is It Possible for a Universally-Executable Virus to be Written in Binary?

In my world, there was a man that wrote a virus in binary code - which in turn infects every computer-based system in the world, as long as it is connected to the internet.

Is this even possible? Please be as detailed as you can, telling me why or why not it is possible.

Edit: assume that my world has technology just like today. What I'm asking is: even though it might be nearly impossible, is it possible to write a virus that can infect different hardware indiscriminately without needing to write a specialized virus for each kind of system?

My assumption was that because it was written in machine code with zeroes and ones, the only way to fight this virus would be to write another program that is an antivirus in machine code with zeroes and ones.

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Is It Possible for a Universally-Executable Virus to be Written in Binary?

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