How Computers Store Negative Numbers in Binary 2s Complement Explained

What happens when a computer encounters -1? The answer is weirder - and more elegant - than you’d expect.

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What happens when a computer encounters -1? The answer is weirder — and more elegant — than you’d expect.

In this video we dig into how computers actually represent negative numbers in binary. We start with the obvious-but-broken approach (sign-magnitude), show why it fails, then work through one’s complement and arrive at two’s complement — the system that quietly powers every processor you’ve ever used.

Covered in this video: → Why you can’t just slap a minus sign on a binary number → Sign-magnitude: the intuitive approach and its inherent flaw → One’s complement: almost there, but not quite → Two’s complement: the elegant solution and why it works

– Credits – Music by Karl Casey @ White Bat Audio


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