10000010011001

10000010011001 is a binary numeral consisting of fourteen bits. When interpreted as an unsigned binary integer, it equals decimal 8345. This value can be obtained by summing the powers of two at the positions of the ones in the pattern: 2^13 + 2^7 + 2^4 + 2^3 + 2^0 = 8192 + 128 + 16 + 8 + 1 = 8345. In hexadecimal, the same pattern is 0x2099.

The bit pattern contains five ones, giving it a Hamming weight of 5. The ones are located at bit positions 13, 7, 4, 3, and 0 (counting from the least significant bit as position 0). As a binary literal, it can be written as 0b10000010011001 in many programming languages.

Context and usage: 10000010011001 is a generic example of a 14-bit binary value. Such patterns are used in computing to represent numeric values, bit masks, identifiers, or encoded data. Without additional context, it is simply a specific unsigned integer rather than a value tied to a particular standard or encoding.

Notes: There is no widely recognized meaning associated with this exact sequence in standard data encodings. Its primary relevance lies in illustrating how a 14-bit binary string maps to decimal and hexadecimal representations and how individual bit positions contribute to the overall value.