1011110011

1011110011 is a binary numeral consisting of ten bits. As a fixed-length binary string, it can be used in digital systems to represent a numeric value or as a pattern of bits in data streams.

Interpreted as an unsigned binary number, 1011110011 equals 755 in decimal. This value is obtained by summing the powers of two corresponding to the positions of the 1s: 2^9 + 2^7 + 2^6 + 2^5 + 2^4 + 2^1 + 2^0.

In hexadecimal, the same binary string is 0x2F3. This is determined by padding the bits to a multiple of four and grouping them as 0010 1111 0011, which converts to 2, F, and 3 respectively.

As a signed value in 10-bit two's complement notation, 1011110011 represents -269. The calculation uses the rule that when the most significant bit is 1, the value is negative and equals the binary value minus 1024, or equivalently 1024 minus 755 equals 269, with a negative sign.

Binary patterns of this length appear in digital design and computer data representations, including microcontroller registers, communication protocols, and error-detection schemes. Without a defined encoding or context, 1011110011 can have multiple valid interpretations across different systems.

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