0b10010001011100

0b10010001011100 is a binary numeral literal commonly used in programming to denote a base-2 integer. The prefix 0b signals that the digits following it should be interpreted as binary rather than decimal or hexadecimal.

Value: The binary string 10010001011100 corresponds to the decimal number 9308 and to the hexadecimal value 0x245C. The binary form is the same as written: 10010001011100.

Bit pattern and interpretation: In a 14-bit representation, the bits set to 1 are at positions corresponding to 2^13, 2^10, 2^6, 2^4, 2^3, and 2^2, which sum to 9308. In some contexts, such a value could be used as a bit mask or flag set.

Alternative interpretations: If the 14-bit value is partitioned into two 7-bit groups, the upper group 1001000 equals 0x48 (H) and the lower group 1011100 equals 0x5C (backslash), which is a curiosity rather than a standard encoding. Without context, this interpretation is incidental.

Context: Binary literals with 0b are supported in several languages, including Python, JavaScript (ES6), and some C-family compilers. They enable direct manipulation of bits for tasks such as masking, shifting, or encoding small integers.