10001101001

10001101001 is a binary number, which is a base-2 numeral system used in digital electronics and computing. In binary, each digit, or bit, represents a power of 2, starting from the rightmost bit which represents 2^0. The binary number 10001101001 can be broken down as follows: 1*(2^9) + 0*(2^8) + 0*(2^7) + 0*(2^6) + 1*(2^5) + 1*(2^4) + 0*(2^3) + 1*(2^2) + 0*(2^1) + 1*(2^0). This equals 545 in the decimal (base-10) numeral system. Binary numbers are fundamental in computer science as they are the language of digital circuits, where data is represented as a series of binary digits. The binary system is also used in various algorithms, data structures, and programming languages. The binary number 10001101001 is a representation of the decimal number 545, and it is used in various applications in computing and digital electronics.