101010100000101

101010100000101 is a binary number. In the decimal system, it represents the number 21509. This binary sequence is composed of sixteen digits. The leftmost digit is a 1, signifying the highest power of 2 in its representation. The sequence contains a total of seven 1s and nine 0s.

The structure of binary numbers allows them to represent any quantity using only two symbols, 0 and 1. Each position in a binary number corresponds to a power of 2, starting from 2^0 on the rightmost side and increasing to the left. For 101010100000101, the decimal value is calculated by summing the products of each binary digit and its corresponding power of 2. Specifically, this number can be broken down as (1 * 2^15) + (0 * 2^14) + (1 * 2^13) + (0 * 2^12) + (1 * 2^11) + (0 * 2^10) + (1 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0). This summation yields 32768 + 0 + 8192 + 0 + 2048 + 0 + 512 + 0 + 0 + 0 + 0 + 0 + 8 + 0 + 2 + 1 = 21509. Its representation in hexadecimal is 53FF.