10111010011000

10111010011000 is a binary number. In the decimal system, it is equivalent to 12120. This sequence of ones and zeros represents a value in base-2. Binary is a positional numeral system that uses only two symbols, typically 0 and 1, to represent numbers. Each digit in a binary number, called a bit, signifies a power of 2. Reading from right to left, the positions correspond to 2^0, 2^1, 2^2, and so on.

To convert 10111010011000 from binary to decimal, we multiply each digit by its corresponding power of 2 and sum the results. The leftmost digit (1) is in the 2^13 position, and the rightmost digit (0) is in the 2^0 position. Therefore, the calculation is (1 * 2^13) + (0 * 2^12) + (1 * 2^11) + (1 * 2^10) + (1 * 2^9) + (0 * 2^8) + (1 * 2^7) + (0 * 2^6) + (0 * 2^5) + (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0). This sums to 8192 + 0 + 2048 + 1024 + 512 + 0 + 128 + 0 + 0 + 16 + 8 + 0 + 0 + 0, which equals 12120. In computer science and digital electronics, binary representations are fundamental for storing and processing information.