10001101011

10001101011 is a binary numeral, an 11-digit sequence used to represent a value in base two. Interpreting it as a binary number yields decimal 1131.

To verify the conversion: 1×2^10 + 0×2^9 + 0×2^8 + 0×2^7 + 1×2^6 + 1×2^5 + 0×2^4 + 1×2^3 + 0×2^2 + 1×2^1 + 1×2^0 = 1024 + 64 + 32 + 8 + 2 + 1 = 1131.

As an 11-bit value, it lies in the unsigned range 0 to 2047. Patterns like this can appear in memory words, instruction encodings, or data words on systems that employ 11-bit data units or 11-bit addressing, though such widths are uncommon in modern mainstream architectures.

The decimal number 1131 factors as 3 × 13 × 29, indicating it is not a prime. Its binary form ends with 1, so the value is odd.

In broader usage, 10001101011 may be encountered as an arbitrary bit pattern or a teaching example illustrating binary-to-decimal conversion, bitwise operations, or compact data representation. Without additional context, it is primarily notable as a specific binary representation of the integer 1131 rather than as a widely recognized constant or identifier.

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