I predict that this post will get approximately 01000011100101100000000000000000 upvotes

But some irrational numbers are only so in base 10

What superior method do you propose?

Man that’s a big factorial

I have to chose between 9000 and Anakin, hard

Each section of the binary number represents a different component needed to construct the number 300. It uses clever math to be able to represent decimals. It's like asking you whether a number is positive or negative, then the position of the decimal point, then what the digits are.

Specifically…

The first 0 means the number is positive. The number formed by the next eight bits (the exponent) and the number from the remaining bits (the mantissa) multiply to get 300.

The exponent bits choose the value of N in the formula 2^N-127 . For the mantissa, we start with the number 1, then each "1" bit starting from the left adds to it 0.5, then 0.25, and so on. Specifically, we have 2⁸×1.171875.

For future people here. They'll disable the link after a few days. When taking things off discord you have to now download the image, they no longer want to host things.