1100001000110

1100001000110 is a binary numeral consisting of 13 bits. In base-2 notation it represents a single unsigned integer as well as a pattern of bits that can be used in digital logic and addressing.

As an unsigned binary number, 1100001000110 equals 6214 in decimal. This value is obtained by summing the powers of two corresponding to the set bits: 2^12 + 2^11 + 2^6 + 2^2 + 2^1 = 4096 + 2048 + 64 + 4 + 2 = 6214. In hexadecimal, the same value is 0x1846 (padded to 16 bits as 0001100001000110, which groups to 1 8 4 6).

If interpreted as a 13-bit two's complement signed integer, the most significant bit denotes a negative value, yielding -1978. This is found by taking the two's complement of the bit pattern, which corresponds to magnitude 1978 with a negative sign.

In practical contexts, 13-bit wide values appear in some historical or specialized systems, such as memory addressing schemes with 8192-address spaces (2^13). The specific pattern 1100001000110 would identify a particular address or data word within such a space. It is not tied to standard character encodings or widely used numeric formats beyond binary arithmetic and digital logic.

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