Just an ordinary myopic internet enjoyer.

Can also be found at lemm.ee, lemmy.world, and Kbin.social.

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Cake day: August 15th, 2023

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  • I realized why I didn’t think of base 2 in my previous reply. For one, hexadecimal (base 16) often used in really low-level programming, as a shorthand for working in base 2 because base 2 is unwieldy. Octal (base 8) was also used, but not so much nowadays. Furthermore, even when working in base 2, they’re often grouped into four bits: a nibble. A nibble corresponds to one hexadecimal digit.

    Now, I suppose that we’re just going to use powers of two, not base-2, so maybe it’d help if we do a comparison. Below is a table that compares some powers of two, the binary prefixes, and the system I described earlier:

    Decimal value Value with corresponding binary prefix Hexadecimal Value Value with prefixes based on powers of 16
    20 1 1 1 1
    24 16 16 10 16
    28 256 256 100 256
    210 1 024 1 Ki 400 1 024
    212 4 096 4 Ki 1000 4 096
    216 65 536 64 Ki 1 0000 1 myri
    220 1 048 576 1 Mi 10 0000 16 myri
    224 16 777 216 16 Mi 100 0000 256 myri
    228 268 435 456 256 Mi 1000 0000 4 096 myri
    230 1 073 741 824 1 Gi 4000 0000 16 384 myri
    232 4 294 967 296 4 Gi 1 0000 0000 1 dyri
    236 68 719 476 736 32 Gi 10 0000 0000 16 dyri
    240 1 099 511 627 776 1 Ti 100 0000 0000 256 dyri
    244 17 592 186 044 416 16 Ti 1000 0000 0000 4 096 dyri
    248 281 474 976 710 656 256 Ti 1 0000 0000 0000 1 tryri
    250 1 125 899 906 842 624 1 Pi 4 0000 0000 0000 4 tryri
    252 4 503 599 627 370 496 4 Pi 10 0000 0000 0000 16 tryri
    256 72 057 594 037 927 936 64 Pi 100 0000 0000 0000 256 tryri
    260 1 152 921 504 606 846 976 1 Ei 1000 0000 0000 0000 4 096 tryri
    264 18 446 744 073 709 551 616 16 Ei 1 0000 0000 0000 0000 1 tesri

    Each row of the table (except for the rows for 210 and 250) would be requiring a new prefix if we’re to be working with powers of 2 (four apart, and more if it’d be three apart instead). Meanwhile, using powers of 16 would require less prefixes, but would require larger numerals before changing over to the next prefix (a maximum of 164 - 1 = 216 - 1 = 65 535)

    One thing that works to your argument’s favor is the fact that 1024 = 210. But I think that’s what caused this entire MiB vs. MB confusion in the first place.

    However, having said all that, I would have been happy with just using an entirely different set of prefixes, and kept the values based on 210.



  • I think the biggest mistake there is using SI prefixes (such as kilo, mega, giga, tera) with bytes (or bits) to refer to the power of two near a power of ten in the first place. Had computer people had used other names for 1024 bytes and the like, this confusion between kibibytes and kilobytes could have been avoided. Computer people back then could have come up with a set of base·16 prefixes and used that for measuring data.

    Maybe something like 65,536 bytes = 1,0000 (base 16) = 1 myri·byte; ‭4,294,967,296 bytes = 1,0000,0000 (base 16) = dyri·byte; and so on in groups of four hex digits instead of three decimal digits (16¹² = tryri·byte, 16¹⁶ = tesri·byte, etc). That’s just one system I pulled out of my ass (based on the myriad, and using Greek numbers to count groups of digits), and surely one can come up with a better system.

    Anyways, while it’d take me a while to recognize one kilobyte as 1000 bytes and not as 1024 bytes, I think it’s better that ‘kilo’ always means 1000 times something in as many situations as possible.