Here's a preview from my zine, **How Integers and Floats Work**!
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## read the transcript!

## big integers

## integers don’t have to overflow

Instead, integers can expand to use more space as they get bigger. Integers that expand are called “big integers”.

big integer: I’m going to use ONE THOUSAND bytes of space!

## big integer math is slower

It’s slower because it’s implemented in software, not hardware.

So a big integer addition is actually turned into lots of smaller additions.

## how big integers are represented (in Go, as of 2023)

You can think of this array of 64-bit integers as being the number written in base 2^64

## some languages only have big integers

Python 3 and Ruby: we’d rather have slower math and no weird overflow problems!

This works because people don’t do a lot of math in Ruby/Python (except with numpy, which doesn’t use big integers).

## some languages offer big integers as an option

Go, Javascript, Java, and lots more. Each language has its own big integer implementation.

## when are big integers useful?

- they’re used in cryptography (e.g. for large key sizes)
- for math on really big integers