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What Every Programmer Should Know About Floating-Point Arithmetic

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Why don’t my numbers add up?

So you’ve written some absurdly simple code, say for example:

	0.1 + 0.2

and got a really unexpected result:

	0.30000000000000004

Maybe you asked for help on some forum and got pointed to a long article with lots of formulas that didn’t seem to help with your problem.

Well, this site is here to:

Explain concisely why you get that unexpected result
Tell you how to deal with this problem
If you’re interested, provide in-depth explanations of why floating-point numbers have to work like that and what other problems can arise

You should look at the Basic Answers first - but don’t stop there!

The Floating-Point Guide

Number Formats

Errors

Language
cheat sheets

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