10010000001100

10010000001100 is a binary numeral consisting of 14 bits. In the binary numeral system, each position corresponds to a power of two, with the leftmost bit being the most significant. As a raw bit pattern, it can be interpreted in different ways depending on whether the value is treated as unsigned or signed.

As an unsigned binary value, 10010000001100 equals 9228 in decimal and 0x240C in hexadecimal. This is because the bits set to 1 occur at positions corresponding to 2^13, 2^10, 2^3, and 2^2, which sum to 8192 + 1024 + 8 + 4 = 9228.

If interpreted as a 14-bit two's complement signed integer, the most significant bit indicates a negative value. In that case, the number represents -7156 (since 10010000001100 corresponds to 9228 as an unsigned value, and 9228 − 2^14 = 9228 − 16384 = -7156).

In computing contexts, such a binary string may appear as a literal bit pattern, a mask, or as part of a data encoding scheme. It can be written in code as a binary literal, for example 0b10010000001100, depending on the programming language.

See also: binary numeral system, hexadecimal notation, two's complement.