0b111000010000

0b111000010000 is a binary literal used in various programming languages to express a numeric constant in base 2. The binary digits after the 0b prefix form the 12-bit pattern 111000010000. This pattern corresponds to the decimal value 3600 and to the hexadecimal value 0xE10.

In unsigned interpretation, the value is 3600. If interpreted as a 12-bit signed integer in two's complement, the most significant bit is 1, so the pattern represents -496. The exact signed interpretation depends on the width and type used in the surrounding code.

The bit positions that are set are bits 11, 10, 9 and 4 (counting from 0 as the least significant bit). As a bitmask, this pattern could enable or check four specific flags depending on the design of the bitfield or mask in use.

Usage and context: Binary literals like 0b111000010000 are commonly used to initialize variables, configure bitfields, or define masks in low-level programming, digital design, and systems software. They provide a clear representation of individual bits for operations such as shifting, masking, or testing specific flags. The same value can be represented in decimal (3600) or hexadecimal (0xE10), which can be more convenient for debugging or documentation.

See also: binary numeral system, hexadecimal notation, two's complement, bitmask, 0b prefix.