1101110000010

1101110000010 is a binary numeral consisting of 13 bits. As a base-2 representation, it denotes a non-negative integer when interpreted in standard positional notation. The value of this binary string in decimal is 7042, and in hexadecimal it is 0x1B82. This conversion is obtained by summing powers of two corresponding to the positions of 1s: 2^12 + 2^11 + 2^9 + 2^8 + 2^7 + 2^1 = 4096 + 2048 + 512 + 256 + 128 + 2 = 7042.

In binary, the most significant bit is 1, so the value lies between 2^12 and 2^13 − 1 (4096 to 8191). A 13-bit length implies a maximum representable value of 8191. Such a 13-bit width is not common in modern mainstream computing, where 8, 16, 32, or 64-bit formats are standard, but 13-bit fields have appeared in some older computers, digital communication schemes, and data encoding contexts.

As a standalone sequence, 1101110000010 is primarily a formal representation and does not carry a widely recognized meaning beyond its numeric value unless tied to a particular protocol, dataset, or encoding scheme. It can be encountered in binary data dumps, low-level programming literals, or illustrative examples of binary-to-decimal conversion.

See also: Binary numeral system, Hexadecimal notation, 13-bit architectures.