0b111110001010

0b111110001010 is a binary literal that uses the 0b prefix to denote a base-2 integer in several programming languages. The sequence represents twelve bits and corresponds to the unsigned value 3978 in decimal, and to the hexadecimal value 0xF8A. The bit string can be grouped as 1111 1000 1010, mapping directly to the digits F, 8, and A in hex.

In unsigned form, this value is 3978. If this bit pattern were stored in a fixed-width signed integer with 12 bits, the most significant bit would indicate a negative value in two's complement representation, yielding -118. In languages that support larger integer widths, extending the sign to a 16-, 32-, or 64-bit integer would produce the positive decimal 3978 for the same bit pattern.

Binary literals like this are used for bitwise operations, masks, and low-level data parsing, where exact bit patterns are important. The 0b prefix is supported by many modern programming languages, including Python, JavaScript (ECMAScript 2015 and later), Java, C#, and Rust, among others.

For reference, 0b111110001010 equals hexadecimal 0xF8A and decimal 3978. Its use in examples often highlights how binary-to-hex and binary-to-decimal conversions align, and illustrates how fixed-width representations affect signed interpretation.

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