0b1111111001101

0b1111111001101 is a binary literal that encodes the bit pattern 1111111001101 in base 2. The 0b prefix is commonly used in programming languages such as C, C++, Rust, and Python to denote binary notation.

In unsigned interpretation, this value equals 8141 in decimal. It matches the hexadecimal representation 0x1FCD, since 0x1FCD equals 8141. The pattern is 13 bits wide, with the most significant bit set to 1.

If interpreted as a signed integer in two's complement with 13 bits, the bit sequence represents -51, since 2^13 is 8192 and 8192 - 8141 equals 51.

Applications of such a binary literal include defining fixed bit patterns for testing, constructing masks for bitwise operations, or illustrating binary-to-hexadecimal conversions. It also serves as a concise example of how width and sign affect numeric interpretation.

See also: binary literals, two's complement, hexadecimal notation.