10100110011

10100110011 is an 11-bit binary numeral. In binary form it represents the value used directly in computing and digital notation.

The decimal value of 10100110011 is 1331. This is because the bits occupy the positions 2^10, 2^8, 2^5, 2^4, 2^1, and 2^0, giving 1024 + 256 + 32 + 16 + 2 + 1 = 1331. Notably, 1331 is 11 cubed (11^3), which is a nearby mathematical curiosity linking the binary representation to a well-known decimal property.

In hexadecimal, 10100110011 equals 0x533. When expressed as a 16-bit value, it is 0000010100110011 in binary, and 0x0533 in hex. The string has six ones, so its Hamming weight is 6.

This binary pattern can appear as a literal constant in software, a bit field, or a test value in digital design. Its 11-bit length makes it a compact example for illustrating binary-to-decimal conversion, base transformations, and bitwise operations. While the sequence itself does not carry an intrinsic semantic meaning beyond being a number, its relation to the decimal 1331 (and to the cube of 11) can be noted as a small mathematical coincidence.

See also: binary numeral system, base conversions, hexadecimal notation, bitwise operations.