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Negative Numbers in Binary: The Trick That Powers Every Computer
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
Boost your YouTube audience with vidIQ. Use this link to unlock 500 bonus credits when you upgrade to a premium plan: https://vidiq.com/r/?code=YtfDjC
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By 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
Boost your YouTube audience with vidIQ. Use this link to unlock 500 bonus credits when you upgrade to a premium plan: https://vidiq.com/r/?code=YtfDjC