1000010000101 is a binary numeral consisting of 13 bits. It represents the integer 4229 in decimal. In hexadecimal, it corresponds to 0x1085. The set bits occur at positions 12, 7, 2, and 0 (counting from 0 as the least significant bit), since 1000010000101 = 2^12 + 2^7 + 2^2 + 2^0. As a 13-bit value, it does not align with standard word sizes such as 8, 16, or 32 bits, but it can be used in contexts that require non-standard widths, such as compact bit fields, identifiers, or specific data-encoding schemes. The exact meaning of the pattern depends on the application or protocol in which it is used. See also binary numeral system, hexadecimal notation.