1024

1024 is the decimal number that follows 1023 and precedes 1025. It equals 2 raised to the 10th power (2^10). In binary notation it is 10000000000, in octal it is 2000, and in hexadecimal it is 0x400. Its prime factorization is 2^10.

In computing, 1024 bytes are commonly referred to as one kilobyte in traditional usage, though standards distinguish decimal and binary prefixes. The IEC introduced the kibibyte (KiB) to denote 1024 bytes, with the mebibyte (MiB) equal to 1024^2 bytes, and so on. Historically, many software and hardware specifications used 1024 as the base, which led to ambiguity between kilobytes (10^3) and kibibytes (2^10).

Because it is a power of two, 1024 serves as a natural unit in computing. Many memory and storage systems use blocks or pages sized in powers of two, with 4 KiB (4096 bytes) being a common memory page size. Arrays, buffers, and cache lines are often allocated in units near 1024 to align with addressing and performance characteristics.

Mathematically, 1024 is notable as 2^10 and has a logarithm base 2 of 10. This makes it a convenient milestone for binary measurement scales in computing, where powers of two frequently align with architectural and performance considerations.