0b10000011001011

0b10000011001011 is a binary literal used in programming to denote a base-2 integer. The prefix 0b indicates that the digits that follow are interpreted as a binary number rather than decimal, octal, or hexadecimal.

Value and representation. The literal consists of 14 bits: 10000011001011. In decimal, this equals 8,395. In hexadecimal, it is 0x20CB. If stored in a typical 16-bit unsigned integer, it would be represented as 0010000011001011, with two leading zero bits not part of the original 14-bit value. The most significant bit is 1, placing the value in the range 8,192 to 16,383.

Bit-pattern notes. The lower eight bits (bits 7 down to 0) are 11001011, which is 0xCB (203 decimal). The upper portion (the remaining higher bits) contribute 0x20 in hexadecimal, reflecting the 8,192 offset from the 14-bit value. This structure can be relevant in contexts such as bit masking, flag fields, or compact data encoding where specific bit patterns encode meaning.

Usage context. Binary literals like 0b10000011001011 appear in programming languages that support base-2 notation, including Python and various C-family languages (with varying levels of support). They are commonly used for low-level programming tasks, such as manipulating individual bits, specifying masks, or representing compact constants in algorithms and hardware interfacing.

Related concepts. Binary numeral system, hexadecimal and decimal equivalents, bitwise operations, and the concept of bit length and padding when aligning to standard word sizes.