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A decades-old bug in Knuth's long division (TAOCP Vol II, Algorithm 4.3.1D)

https://kolja.rs/algorithm-d/
14•nk_kolja•5d ago

Comments

nk_kolja•5d ago
I found a bug in Algorithm D, the long division algorithm in Knuth's "The Art of Computer Programming". It was discussed on HN a couple of times https://news.ycombinator.com/item?id=26562819 as well as on other websites. I sent a letter to Knuth and received a check and an annotated reply. The updated Theorem B, which was unchanged since 1969 is now dated 2026.

While searching for vulnerable implementations I also found a "bug" in llvm, so I expanded a bit on that too.

jason_s•1d ago
Congratulations! Wow, you got a legendary $2.56 check....
warmwaffles•29m ago
Hopefully framed it and put it on the wall.
WillAdams•25m ago
Unfortunately, one no longer gets physical checks, instead, one gets an account in The Bank of the Island of San Seriffe:

https://www-cs-faculty.stanford.edu/~knuth/boss.html

(unfortunately, I have yet to find another typo since getting my $2.88 for _Digital Typography_)

ginko•20m ago
The typesetting of this looks very broken on firefox with extreme gaps between lines of text. Seems to render fine on chromium.

GrapheneOS in 2027 available on high-end Motorola phones

https://grapheneos.social/@GrapheneOS/117078064184215730
161•exceptione•1h ago•68 comments

Geolocating a random island using geometry and CUDA programming

https://yassa9.github.io/osint/gralhix-004/
38•yassa9•54m ago•11 comments

OpenLogi

https://openlogi.org/en
1024•amatheus•11h ago•290 comments

Air Theremin – a browser theremin you play by waving at your webcam

https://theremin.bizibah.com/
90•gurov•2h ago•42 comments

Cerebras CS-4

https://www.cerebras.ai/cs4
354•sunils34•12h ago•216 comments

Rings forged from meteorites may have been fashionable among ancient Greek elite

https://phys.org/news/2026-08-forged-meteorites-fashionable-ancient-greek.html
37•pseudolus•4d ago•17 comments

Being ambitious and being a dad

https://nicholascharriere.com/blog/being-ambitious-and-being-a-dad/
664•nichochar•2d ago•463 comments

Supersonic Trebuchet [video]

https://www.youtube.com/watch?v=Co57SfcT-h0
167•CharlesW•4d ago•69 comments

Palomar: A registry of Lean verified mathematics

https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/
130•matt_d•10h ago•29 comments

A 3D fruit fly on macOS desktop powered by the real FlyWire connectome

https://github.com/DenisSergeevitch/desktop-fly
321•phoenix120•15h ago•133 comments

Activation Energy is a good model for a lot of things

https://homosabiens.substack.com/p/activation-energy-is-a-good-model
51•surprisetalk•4d ago•12 comments

λλ: A Programming Language for Silicon Photonics

https://dl.acm.org/doi/10.1145/3789240.3829151
48•matt_d•7h ago•12 comments

How does IKEA come up with names for its products?

https://www.ikea.com/se/en/customer-service/knowledge/articles/6f564c4d-2ccc-46de-b643-545a3948dc...
392•NaOH•19h ago•273 comments

Win-V combo from Windows on Ubuntu

https://leo98ml.github.io/win-v/
9•havaianaslife•6d ago•11 comments

The Mojo language (by Modular, now Qualcomm) is now open-source

https://www.modular.com/blog/modcon-announcements
121•flaburgan•5h ago•44 comments

A decades-old bug in Knuth's long division (TAOCP Vol II, Algorithm 4.3.1D)

https://kolja.rs/algorithm-d/
15•nk_kolja•5d ago•5 comments

Solo – a .so loader for static Linux binaries

https://github.com/pg83/solo
159•zX41ZdbW•13h ago•184 comments

A 25-year-old video patent just expired, ending a legal headache for Linux

https://www.xda-developers.com/25-year-old-brazilian-video-patent-expired-legal-headache-linux/
235•theanonymousone•3d ago•109 comments

Finger: the 1971 social network that never died

https://en.andros.dev/blog/54572bc7/finger-the-1971-social-network-that-never-died/
246•andros•1d ago•81 comments

Scientists stunned by children's lung recovery in ultra low emission zone

https://www.bbc.com/news/articles/c1l1r1zne1ro
333•dabinat•12h ago•276 comments

The Vietnam Binh Chau (Chau Tan) Late Tang Wreck

https://www.koh-antique.com/client/tangwreck/tangwreck.html
47•teleforce•11h ago•3 comments

Claude writing a macOS driver for my obscure HP printer built only for Windows

https://twitter.com/kuberwastaken/status/2089377982536388964
238•porridgeraisin•1d ago•180 comments

Turbovec – Google's TurboQuant for vector search in Rust

https://github.com/RyanCodrai/turbovec
268•fittingopposite•19h ago•32 comments

The Amazon tax

https://seths.blog/2026/08/the-amazon-tax/
1248•herbertl•23h ago•640 comments

Show HN: Automatically detect and patch walking-dead states in Sierra games

https://github.com/katiahayati/lucasartsifier/
96•wkfauna•11h ago•44 comments

And then the men with guns tell you to do it anyway

https://shkspr.mobi/blog/2026/08/and-then-the-men-with-guns-tell-you-to-do-it-anyway/
360•_djo_•20h ago•269 comments

AI usage patterns in software teams

https://linear.app/data
157•giuliomagnifico•15h ago•100 comments

Meta's blockbuster trial draws parallels to big tobacco

https://www.economist.com/business/2026/08/18/metas-blockbuster-trial-draws-parallels-to-big-tobacco
280•newsomix9xl•10h ago•230 comments

Apple announces changes for apps in the European Union

https://www.apple.com/newsroom/2026/08/apple-announces-changes-for-apps-in-the-european-union/
236•newusertoday•20h ago•324 comments

Looking for Missed Alarm Bugs in a Formal Verification Tool

https://blog.regehr.org/archives/2124
21•luu•5d ago•1 comments