1101011001

1101011001 is a binary number. In the decimal system, it represents the integer 857. This is derived by multiplying each digit by the corresponding power of two, starting from the rightmost digit as 2^0. Thus, 1*2^9 + 1*2^8 + 0*2^7 + 1*2^6 + 0*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 0*2^1 + 1*2^0 equals 512 + 256 + 0 + 64 + 0 + 16 + 8 + 0 + 0 + 1, which sums to 857.

Binary numbers are the foundation of digital computing. The digits 0 and 1, also known as bits, are used to represent all data within a computer system. The sequence 1101011001 could represent various forms of data depending on the context. For instance, it might be a small portion of a larger data stream, a unique identifier, or a specific instruction within a program. Without further context, its exact meaning remains ambiguous. Its length, ten bits, allows for 2^10 or 1024 unique combinations, from 0000000000 to 1111111111.