0b1101111101011

0b1101111101011 is a binary literal that encodes the unsigned integer 7147. The representation uses 13 bits, with ten ones and three zeros. Its decimal value is obtained by summing the powers of two corresponding to the set bits. In hexadecimal, the same value is 0x1BEB. The number lies between 2^12 (4096) and 2^13 (8192).

The prime factorization of 7147 is 7 × 1021, with 1021 being a prime number. The bit pattern 1101111101011 reflects a high concentration of ones in the upper portion, followed by alternating bits toward the end, though its interpretation is context-dependent and defined by how a programmer uses the value in code.

In computing, the prefix 0b is a common notation used to indicate binary literals in many programming languages, such as Python and JavaScript. Binary literals are frequently employed to express bit patterns, masks, flags, or other low-level data representations directly, without requiring explicit conversion from other bases.

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