1011001011001

1011001011001 is a binary numeral consisting of 13 bits. In computing and digital contexts, such bitstrings are used to encode small integers, flags, or compact data, and may appear in memory dumps, communication protocols, or as identifiers.

Interpreted as a binary number, 1011001011001 equals 5721 in decimal. It lies within the 13-bit range from 0 to 8191 (since 2^12 = 4096 and 2^13 − 1 = 8191). In hexadecimal, the value is 0x1659. When padded to a larger word size for hex representation, the same value corresponds to 0x1659 in a 16-bit context.

Bit composition: The least significant bit is 1, so the value is odd. The most significant bit is also 1, indicating the string sits in the upper portion of the 13-bit range. As a 13-bit quantity, it could be part of a larger word when concatenated with other bits in a wider data structure.

Context and usage: Binary strings of this length appear in low-level data representations, including memory dumps, bit masks, and compact identifiers. They are also used in demonstrations of binary arithmetic or in teaching about bitwise operations. When displayed in hexadecimal form, 1011001011001 corresponds to 0x1659.

Mathematical note: The decimal value 5721 factors as 3 × 1907, with 1907 being a prime number. This makes the binary string a representation of a composite decimal value with a small factorization.