1000111101111

1000111101111 is a 13-bit binary numeral. In computing contexts, such bit strings are used as binary identifiers, memory values, or test patterns, and they may appear in documentation or hardware specifications as example data.

Value and representations: Interpreted as an unsigned binary number, 1000111101111 equals 4591 in decimal and 0x11EF in hexadecimal. The grouping into four-bit chunks for hex yields 0001 0001 1110 1111, corresponding to 0x11EF. The pattern ends with four consecutive ones, and the most significant bit is 1, which affects interpretation in signed representations.

Signed interpretation: In a 13-bit two’s complement system, the same bit pattern represents a negative value. Specifically, the unsigned value 4591 corresponds to -3601 in 13-bit two’s complement. This illustrates how the same bitstring can encode different numbers depending on the chosen numeric representation.

Context and usage: Beyond pure arithmetic, 1000111101111 can serve as a binary identifier, a flag sequence, or a sample input in digital logic design and testing. Its non-palindromic structure and mixed bit-run lengths make it a typical example for illustrating binary-to-hex conversions, bitwise operations, and signed versus unsigned interpretation.

See also: binary numbers, hexadecimal notation, two’s complement, bit strings, digital representation.