10001010010

10001010010 is an 11-bit binary numeral used in digital systems to represent a specific unsigned integer. As a string of binary digits, it consists of eleven characters, each either 0 or 1.

Value: Interpreted as a binary number, it equals 1106 in decimal notation. In hexadecimal, it corresponds to 0x452. The most significant bit is 2^10, contributing 1024 to the value, with additional contributions from 2^6, 2^4, and 2^1.

Analysis: The bit pattern contains ones at positions 10, 6, 4, and 1 (counting from zero at the least significant bit). This illustrates how binary encodings map to powers of two and how small binary sequences encode specific integers.

Usage: Such a binary string can function as a data field, a small unsigned integer in software, or a bit mask in compact data representations. While 11-bit values are not a standard width for common integer types in mainstream languages, they appear in specialized communication protocols, embedded systems, and educational demonstrations of binary arithmetic.

Representations and conversions: In source code, this value can be written as 0b10001010010 in languages that support binary literals, or stored as a string of characters. Conversions between binary, decimal, and hexadecimal are routine operations in computing and digital electronics.

See also: binary numeral system, bit, hexadecimal, 0b prefix, unsigned integer.