1011111011101

1011111011101 is a binary numeral consisting of thirteen bits. In decimal notation it equals 6109, and in hexadecimal it is 0x17DD. The leading bit is 1, so as an unsigned 13-bit number it lies in the range from 4096 to 8191.

If interpreted as a signed 13-bit two’s-complement value, the same bit pattern represents 6109 minus 2^13 (8192), i.e., -2083. This illustrates how the same bit string can have different meanings depending on the chosen numeric interpretation. The value 6109 factors as 41 × 149, indicating that it is not a prime number.

In practical terms, 1011111011101 can function as a data word or test pattern in digital electronics and software demonstrations of binary-to-decimal conversions. It does not correspond to a standard ASCII or Unicode code point when viewed as a raw 13-bit value, though it can be divided into subfields depending on the encoding scheme (for example, dividing into 8 and 5 bits yields 0xBE and 0x1D, respectively).

As a case study, 1011111011101 highlights common considerations when working with binary representations: bit length, signed versus unsigned interpretation, and how a fixed bit string maps to different numerical and encoding contexts.