10000111111011

10000111111011 is a binary numeral consisting of 13 bits. In this binary string, the leftmost bit is the most significant, and each position corresponds to a power of two.

The pattern places a 1 at 2^12, zeros at 2^11 through 2^8, ones at 2^7 down to 2^3, a zero at 2^2, and ones at 2^1 and 2^0. This yields a decimal value of 4347. In hexadecimal, the same value is 0x10FB.

The number lies between 2^12 (4096) and 2^13−1 (8191). It is not a prime number; 4347 factors as 3^3 × 7 × 23.

In practical terms, 13-bit binary patterns like 10000111111011 may appear in compact data encodings, communication protocols, or digital signal processing where fixed-width bitfields are used. The specific sequence includes a run of five consecutive ones, which can be of interest in pattern recognition or bitmask applications.

See also: binary numeral system, bitwise representation, hexadecimal notation, prime factorization.