1100001010

1100001010 is a binary numeral composed of ten bits. In unsigned interpretation, it represents the decimal value 778. In hexadecimal, it is 0x30A. When treated as a 10-bit two's-complement signed integer, the most significant bit is 1, so the value is -246.

Bit pattern and arithmetic: the bits set are at positions 9, 8, 3, and 1 (counting from zero). This corresponds to 2^9 + 2^8 + 2^3 + 2^1 = 512 + 256 + 8 + 2 = 778 for unsigned; in 2's complement with 10 bits, the value is -512 + 256 + 8 + 2 = -246.

Context and usage: 1100001010 is a standard example used to illustrate binary-to-decimal conversions and hex representations. It also demonstrates how fixed-width representations can yield different results under unsigned versus signed interpretations, depending on the chosen bit width and encoding scheme.

Related notes: if the number is truncated to 8 bits, the lower eight bits are 00001010, which equals decimal 10 and hex 0x0A. In computing tasks, such a pattern can appear in demonstrations of bit manipulation, data encoding, or as a placeholder value in tests and tutorials.

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