110000000010

110000000010 is a binary numeral consisting of twelve bits. In most computing contexts it can be treated as an unsigned value or as a signed value in a fixed-width representation.

As an unsigned integer, the value is 3074. This is obtained by summing the contributions of the set bits: 2^11 + 2^10 + 2^1 = 2048 + 1024 + 2 = 3074. In hexadecimal and octal, the same pattern corresponds to 0xC02 and 0o6002, respectively (three hex digits or four octal digits).

If interpreted as a 12-bit two's complement signed integer, the value is -1022. With the most significant bit set, the value is computed as -2^11 + 2^10 + 2^1 = -2048 + 1024 + 2 = -1022. This illustrates how the same bit pattern can have different meanings depending on the numeric interpretation.

Context and usage: such a 12-bit pattern is a representative example in discussions of binary encoding, fixed-width integer representations, and basic digital design. It can appear in educational materials, hardware description languages, bit-level testing, and demonstrations of unsigned versus signed interpretation in limited-width systems.