0b011111000000

0b011111000000 is a binary literal that uses the 0b prefix to indicate base-2 notation, a form common in programming and digital electronics. It represents a 12-bit value written as 011111000000.

In decimal, this value equals 1984. In hexadecimal, it is 0x7C0 (grouping the bits into 4-bit nibbles gives 0111 1100 0000, which corresponds to 7 C 0). The bits set to 1 are in positions 10 through 6 (counting from the least significant bit as position 0), which corresponds to the sum 2^10 + 2^9 + 2^8 + 2^7 + 2^6 = 1024 + 512 + 256 + 128 + 64 = 1984.

As a fixed-width 12-bit value, 0b011111000000 can be interpreted in different ways depending on context. If treated as an unsigned number, its value remains 1984. If interpreted as a signed two’s complement number with 12 bits, the most significant bit is 0, so it still represents the positive 1984. The pattern effectively serves as a bit mask with five consecutive high bits set, useful in low-level operations, flag encoding, or memory addressing schemes where 12-bit widths are used.

See also: binary literal, hexadecimal notation, bitmask, two’s complement.