0b1111001001011

0b1111001001011 is a binary literal, using the 0b prefix to indicate base-2 notation in many programming languages such as Python, C++, and JavaScript. This form is commonly used to express exact bit patterns directly, which is useful in low-level programming, hardware interfacing, and teaching bitwise operations.

The sequence 1111001001011 represents a 13-bit unsigned integer. Its value in decimal is 7755, and in hexadecimal it is 0x1E4B. The set bits are located at positions 12, 11, 10, 9, 6, 3, 1, and 0 (counting from the least significant bit as position 0). Leading zeros are not shown in the literal, but the underlying idea is that each 1 bit contributes a power of two to the total.

In practical use, binary literals enable precise specification of bit patterns without performing manual conversions. They appear in contexts such as configuring hardware registers, setting flags, or illustrating concepts in computer architecture and digital logic. The 0b prefix helps distinguish these values from decimal or hexadecimal representations.

Overall, 0b1111001001011 serves as a concrete example of how binary literals encode numerical values and enable direct manipulation of individual bits in software and systems design.