10011111011010

10011111011010 is a binary number. In the decimal system, this number is equivalent to 10138. Binary, or base-2, is a number system that uses only two symbols, typically 0 and 1. This system is fundamental to digital computing, as electronic circuits are often designed to represent these two states as "off" and "on," or low and high voltage.

The conversion from binary to decimal involves summing the products of each binary digit with the corresponding power of 2, starting from the rightmost digit as 2 to the power of 0. For 10011111011010, this calculation would be:

(1 * 2^13) + (0 * 2^12) + (0 * 2^11) + (1 * 2^10) + (1 * 2^9) + (1 * 2^8) + (1 * 2^7) + (1 * 2^6) + (0 * 2^5) + (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 8192 + 0 + 0 + 1024 + 512 + 256 + 128 + 64 + 0 + 16 + 8 + 0 + 2 + 0 = 10138.

Numbers represented in binary are ubiquitous in computer science, data storage, and digital communications. While humans are accustomed to the decimal (base-10) system, computers operate primarily with binary representations due to the simplicity of their electronic components.