How are kilobits and kibibits converted to bits?

Question

Informatics

Wikipedia, GOST 8.417-2002, IEC 60027-2 standard, Olifer and google hint say that 1 kilobit = 1000 bits, since the SI prefixes kilo-, mega-, giga- and others, are designations for multipliers of 10 to a certain extent (but not a power of two).
To designate the powers of two, there are special prefixes, such as: kibi-, mebi-, gibi-, etc. used in conjunction with bits and bytes of information units.
My programmer friends, my teacher and Yandex sorcerer, interpret the si prefixes, when converting kilobits to bits, as powers of two.
Actually the question is: how to correctly interpret the SI prefixes when using them with units of measurement of bits and bytes?

Answer 1

Everything is described here. Formally, they are wrong, but everyone does it. And everyone understands each other.
Now there is not much difference between the concepts, and in case of misunderstanding, the context / axiomatics within which all this will be used is stipulated

Answer 2

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