1000100100001

1000100100001 is a binary numeral consisting of 13 bits. It can be interpreted as an unsigned integer, a signed integer in two's complement form, or as a binary pattern used in data encoding and digital logic.

As an unsigned value, it equals 2^12 + 2^8 + 2^5 + 2^0 = 4096 + 256 + 32 + 1 = 4385. In hexadecimal, the value is 0x1121. If displayed with padding to 16 bits for readability, it would appear as 0001 0001 0010 0001.

The bit pattern contains four ones (a Hamming weight of 4). The positions of the set bits, counting from the least significant bit as position 0, are at 0, 5, 8, and 12. Thus the integer value remains 2^12 + 2^8 + 2^5 + 2^0.

If interpreted as a signed 13-bit two's complement number, the value is -2^13 + 4385 = -3807.

In practice, such a pattern can appear as a test vector, a bit mask, or part of a larger code word in digital circuits and computer architecture. Without additional context, the string itself does not convey a widely recognized meaning beyond its numerical representation.