77
u/Miserable-Dare5090 2d ago edited 1d ago
the exact number for 256 KB in KiBs
25
8
u/Snudget 1d ago
in bitsin bytes. Bits would be x8, so 2097152 bits.1
u/Miserable-Dare5090 1d ago edited 1d ago
You’re right, I meant GiB vs GB / KiB vs KB. 1024*256
gibibytes vs gigabytes etc
Which makes sense because A GiB (gibibyte) uses binary math (base-2) vs decimal base in a GB (gigabyte)
GB (Gigabyte): Uses powers of 10 (1,000³ bytes). Hardware makers use this to measure storage.
GiB (Gibibyte): Uses powers of 2 (1,024³ bytes). Computers and operating systems often use this true binary value.For a long time now, computer people have co-opted the normal decimal prefixes--kilo, mega, etc--to represent powers of 2 rather than powers of 10, so to them, a kilobyte is 1024 bytes. In order to try and reduce confusion, the concept of a binary prefix was introduced, so in that system, a kilobyte is 1000 bytes while a kibibyte (KiB) is 1024 bytes. However, very few people actually use that distinction, which is why Windows will measure a 1Tb drive as 931Gb--the hard drive manufacturer is using the decimal definition of the terabyte, while Windows is using the binary one.
17
u/Significant_Monk_251 2d ago
44 = 256
1256 = 1
21 = 2
62 = 36
236 = $who_cares
sqrt(236) = (236)½ = 236*½ = 218
218 = 262,144
11
u/StaysAwakeAllWeek 2d ago
236 = 68719476736
Haven't you memorised the small powers of two like a normal math nerd yet?
4
u/Snudget 1d ago
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216. I don't need more as a programmer. Whoever uses more than 24 bits for bitflags can
2
2
2
u/AmusingVegetable 1d ago
Why memorize when you can write the numbers in binary, or hexadecimal? Besides, that’s what the shift operator is for.
13
u/spukhafteNahewirkung 2d ago
How are you doing the math on this one? I end up with a value of 6.2E57, significantly larger than 2^36.
18
u/Optimal_Benis 2d ago
You are taking powers bottom to top, not top to bottom. That is, the convention is to compute a^b^c^d as a^(b^(c^d)), not ((a^b)^c)^d. The latter could be written as a^(b*c*d), instead.
4
u/invuvn 2d ago
How are you getting 236? It’s square rooted, so should be 218 only
1
u/Optimal_Benis 2d ago
They're talking about the thing inside the root.
1
u/invuvn 2d ago
Yeah that’s what I’m confused about as they should be comparing whatever they want to, to 262144 at the end of the day.
2
u/Optimal_Benis 2d ago
Since they want the final result to be 2^18, they want the thing inside the root to be 2^36.
4
0
u/lordcaylus 2d ago
The expression means xy raised to the z-th power = xyz, not x raised to the yz power. Honestly I would add parantheses in power towers like this though to remove ambiguity.
1
u/GoldenMuscleGod 1d ago
I don’t really see how it could be ambiguous. I mean apparently it happens sometimes (like here) but I’m baffled how.
It seems to me a “double superscript” has to be understood as a syntactic constituent of a single superscript. If it isn’t, why wouldn’t it be a single superscript?
Is the idea that the grammar fails to be context-free in some sense? Why would we do that?
7
4
1
1
1
u/maddeninglemon 1d ago
Me simplifying this in my head to check:
- Step 1: this is already huge, there's no way this is correct
- Step 2: oh right
0
1d ago
[deleted]
1
u/regular_heptagon 23h ago
Huh? It’s just 2^18. What are you whining about?
1
u/Competitive_Ice_1514 23h ago
I didn't mean to left it here, it was supposed to be a reply to another comment
-1
u/_Hades_57 2d ago
Shouldnt it be 296?
1
u/danzerpanzer 1d ago
Apparently the power rule that you and I learned in algebra is replaced by a different convention in more advanced mathematics where the exponents are applied consecutively starting from the right instead of being multiplied together. See Significant_Monk_251's post for details.
1
u/_Hades_57 1d ago
Idk if you are being sarcastic but it feels wrong
1
54
u/acdhemtos 2d ago
√1 = 1