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A system of units based on powers of 2 in which 1 kibibyte (KiB) is equal to 1,024 (i.e., 2 10) bytes is defined by international standard IEC 80000-13 and is supported by national and international standards bodies (BIPM, IEC, NIST). The IEC standard defines eight such multiples, up to 1 yobibyte (YiB), equal to 1024 8 bytes.
– minimum length to store 2 decimal digits. 2 3: byte (B) 8 bits – (a.k.a. octet or octad(e)) on many computer architectures. – equivalent to 1 "word" on 8-bit computers (Apple II, Atari 8-bit computers, Commodore 64, etc.). – the "word size" for 8-bit console systems including: Atari 2600, Nintendo Entertainment System. 10 1: decabit ...
In this convention, one thousand and twenty-four kilobytes (1024 KB) is equal to one megabyte (1 MB), where 1 MB is 1024 2 bytes. In December 1998, the IEC addressed such multiple usages and definitions by creating prefixes such as kibi, mebi, gibi, etc., to unambiguously denote powers of 1024. [ 10 ]
1024 is a power of two: 2 10 (2 to the tenth power). [1] It is the nearest power of two from decimal 1000 and senary 10000 6 (decimal 1296). It is the 64th quarter square. [2] [3] 1024 is the smallest number with exactly 11 divisors (but there are smaller numbers with more than 11 divisors; e.g., 60 has 12 divisors) (sequence A005179 in the OEIS).
The byte is the most common unit of measurement of information (megabyte, mebibyte, gigabyte, gibibyte, etc.). The decimal SI prefixes kilo, mega etc., are powers of 10. The power of two equivalents are the binary prefixes kibi, mebi, etc. Accordingly: 1 kB = 1000 bytes = 8000 bits; 1 KiB = 2 10 bytes = 1024 bytes = 8192 bits
The early 8-inch diskette formats could contain less than a megabyte with the capacities of those devices specified in kilobytes, kilobits or megabits. [38] [39] The 5.25-inch diskette sold with the IBM PC AT could hold 1200 × 1024 = 1 228 800 bytes, and thus was marketed as "1200 KB" with the binary sense of "KB". [40]
A system with 8 possible states, for example, can store up to log 2 8 = 3 bits of information. Other units that have been named include: Base b = 3 the unit is called "trit", and is equal to log 2 3 (≈ 1.585) bits. [3] Base b = 10 the unit is called decimal digit, hartley, ban, decit, or dit, and is equal to log 2 10 (≈ 3.322) bits. [2] [4 ...
That is, the value of an octal "10" is the same as a decimal "8", an octal "20" is a decimal "16", and so on. In a hexadecimal system, there are 16 digits, 0 through 9 followed, by convention, with A through F. That is, a hexadecimal "10" is the same as a decimal "16" and a hexadecimal "20" is the same as a decimal "32".