0b10000011011010

0b10000011011010 is a binary integer literal that represents a specific value in base-2 notation. The 0b prefix is used in several programming languages, such as Python, C++14, Java 7, and Rust, to indicate that the following digits should be interpreted as a binary number rather than decimal.

The literal encodes the 14-bit binary value 10000011011010. In decimal, this equals 8410. In hexadecimal, it is 0x20DA. The most-significant bit is at position 13 (counting from zero), and the bits set to 1 occur at positions 13, 7, 6, 4, 3, and 1.

As a binary pattern, 0b10000011011010 can be used to illustrate how a bitmask or flag field might be defined in code, or as an example of exact bit packing and manipulation. When written in common hexadecimal form (0x20DA), it aligns with standard byte-oriented representations used in low-level programming and data communication.

Notes on usage: binary literals like this enable precise control over individual bits, which is important in tasks such as setting or testing flags, constructing bitwise masks, or representing compact data encodings. The concept of a binary literal is part of the broader binary numeral system, which is foundational to digital computation and computer architecture.