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numbers

Explainer: Numbers

Integers of different sizes and endianness, floating point numbers with a radix of 2 that can result in rounding and cancellation errors and NaNs, and bfloat16 for AI.

December 6, 2025 Macs, Technology

LogUI build 58 reads and writes JSON, and more

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You can now save log extracts to JSON files, which LogUI can read in as a log extract. Also a new Reduce tool to filter unwanted log entries.

June 5, 2025 Macs, Technology, Updates

Mints version 1.18 now shows floating-point numbers in hex

Did you know that, in 64-bit double floating-point format, the number pi is 4009 21FB 6000 0000? Now you can discover that, and reverse from hex to regular decimal, using Mints.

February 21, 2024 Macs, Technology

Explore floating-point number formats in Mints 1.17

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New version fixes a bug, and adds a new window to explore floating-point number formats, as demonstrated here. And a surprise from Apple.

February 17, 2024 Macs, Technology, Updates

Floating-point numbers aren’t evenly distributed

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Close to 0.0, there are huge numbers of different floating-point Doubles, but their value gets greater, they are far fewer.

April 27, 2021 General, Macs, Technology

Can you trust Numbers with numbers?

Numbers has a lightweight interface and is easy to use. But does it handle numbers as accurately as Excel, or maths environments like Matlab?

March 15, 2021 General, Macs, Technology

Help! My Mac is innumerate

The futile quest for a pasteboard format which transfers numbers as numbers rather than text which has to be converted back in integers, floating point numbers, and so on.

January 15, 2021 Macs, Technology

macOS version numbering: I’m already eating my hat

I was wrong: the first proper update to Big Sur is version 11.1, and next year we should be grappling with macOS 12.

November 18, 2020 Macs, Technology

File Integrity 7 : Which other file formats are resilient?

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Looks at plain text, CSV, XML, JSON, RTF, RTFD, .docx, .xlsx, and PDF. Which should you trust with your important documents in archives?

April 22, 2020 Macs, Technology

What does the Move To command do in Pages, Numbers & Keynote?

When should you use the Move To menu command in any of Apple’s iWork apps? What advantages does it bring over the Finder?

February 22, 2020 Macs, Technology

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