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When I save some binary data on disk (or memory), I should care about byte-endianness if the data must be portable across multiple platforms. But how about bit-endianness? Is it fine to ignore?
I think this is fine to ignore, but there can be some pitfalls, so I like to hear other opinions.
Bits are always arranged the same way in a byte, though there are (were) some exotic architectures where a byte was not 8 bit. In modern computing you can safely assume an 8-bit byte.
What varies (as you properly noted) is a byte arrangement – that one you should take care of, indeed.