0b1000000011

0b1000000011 is a binary literal used in programming to denote the binary value 1000000011. The 0b prefix signals that the digits that follow are in base-2, a convention adopted by several modern languages for expressing binary numbers directly in source code.

Numeric value and representation

When interpreted as an unsigned integer, 0b1000000011 equals decimal 515. In hexadecimal terms, this value is 0x203. The bit pattern consists of a 1 in the most significant bit position of a 10-bit representation and two consecutive 1s in the least significant positions, giving a total value of 2^9 + 2^1 + 2^0 = 515.

Bit width considerations

The meaning of the bit pattern depends on the fixed width used. In a 10-bit two's complement system, the pattern would represent -509, since 515 - 1024 = -509. In typical programming languages that store integers in 8, 16, 32, or 64 bits, the literal is treated as the unsigned value 515 with higher bits zero-padded; the signed interpretation then depends on the chosen width and sign convention.

Usage and context

Binary literals with a 0b prefix are supported in many languages, including Python, JavaScript, Java, C++, Rust, and C#. They are commonly used for bitwise operations, bit masks, flag fields, and other low-level tasks where direct control over individual bits is desired.

See also

Binary numeral system, two's complement, hexadecimal notation, bit mask.