111111001001

111111001001 is a binary numeral consisting of 12 bits. It is written using only the digits 0 and 1.

As an unsigned binary number, it equals 4041 in decimal and has the hexadecimal representation 0xFC9 (or FC9). If interpreted as a 12-bit two's-complement signed integer, its value is -55, since 0xFC9 corresponds to 4041 in unsigned form, which is 4096 minus 55.

The bit pattern can be described as six consecutive ones at the most significant end, followed by two zeros, then a one, two zeros, and a final one. This structure makes it a simple example for illustrating binary-to-decimal and binary-to-hexadecimal conversions, as well as for discussing signed versus unsigned interpretations in fixed-width representations.

In computing and digital design contexts, such a 12-bit pattern may be used as a test vector or example in lessons about bitwise operations, encoding schemes, and data representation. While 12-bit word lengths are less common in modern general-purpose systems, they appear in certain legacy hardware, digital signal processing applications, and specialized memory addressing schemes, where hexadecimal notation like FC9 aids in compact representation.

See also: binary numeral system, decimal representation, hexadecimal numeral system, two's-complement notation.