1111111110111

1111111110111 is a binary numeral composed of 13 bits. The sequence can be described as nine consecutive ones, followed by a zero, and ending with three ones.

As an unsigned binary value, it represents decimal 8183. In hexadecimal, this value is 0x1FF7. The 13-bit form has the most significant bit set, indicating a high magnitude in unsigned interpretation.

If interpreted as a 13-bit two's complement number, the pattern represents -9. This follows from the relation between unsigned value 8183 and the 13-bit range, where 8183 equals 8192 minus 9, producing -9 in signed form.

Pattern and context: The bit sequence is notable for its long run of ones interrupted by a single zero. It is just below the maximum 13-bit value (8191) and differs from it by 8 (2^3), illustrating how small changes in a fixed-width binary string alter its numeric interpretation.

Applications: The string can serve as a compact example in discussions of binary arithmetic, bit masking, or fixed-width encoding schemes. It also functions as a test case for software tools that parse binary strings or perform conversions between binary, decimal, and hexadecimal representations. See also binary numeral system, two's complement, and hexadecimal notation.