1101001010010

1101001010010 is a 13‑bit binary numeral. It occupies the range of unsigned values from 0 to 8191 inclusive. In decimal notation the number translates to 6738, because each bit position corresponds to a power of two: 4096 + 2048 + 512 + 64 + 16 + 2 = 6738. The hexadecimal representation is 0x1A52, obtained by grouping the binary digits into sets of four from the right: 1 1010 0101 0010, which corresponds to 1 A 5 2. In octal it is 015412.

The binary pattern contains an alternating sequence of 1s and 0s with a palindrome segment "10101" in the middle. Such patterns occasionally arise in coding theory and error‑detecting codes, though this particular sequence is not standard in any widely used code family. When interpreted as a raw integer, it has no special significance beyond belonging to the range of 13‑bit values.

In computing contexts binary values like 1101001010010 might appear in machine code for 13‑bit processors, in memory dumps, or as example data for teaching binary arithmetic. The value does not correspond to a printable ASCII character (decimal 6738 is beyond the ASCII range), nor does it map to a Unicode code point used in common scripts.

Mathematically the set of all 13‑bit numbers forms an additive group under modulo 8192 arithmetic; 1101001010010 is one of its elements. In informational theory it represents log₂(8192) = 13 bits of data. The number may also be used as a seed or identifier in combinatorial constructions where 13‑bit sequences are required.