101111001001

101111001001 is a binary number, which is a number expressed in the base-2 numeral system. In binary, each digit is either a 0 or a 1, and each position represents an increasing power of 2, starting from the rightmost digit.

The binary number 101111001001 can be converted to its decimal (base-10) equivalent by calculating the sum of each digit multiplied by its corresponding power of 2. Starting from the rightmost digit (which is 2^0), the calculation is as follows:

(1 * 2^0) + (0 * 2^1) + (0 * 2^2) + (1 * 2^3) + (0 * 2^4) + (0 * 2^5) + (1 * 2^6) + (1 * 2^7) + (1 * 2^8) + (0 * 2^9) + (1 * 2^10)

This simplifies to:

1 + 0 + 0 + 8 + 0 + 0 + 64 + 128 + 256 + 0 + 1024 = 1481

Therefore, the decimal equivalent of the binary number 101111001001 is 1481.

Binary numbers are commonly used in computer science and digital electronics for representing data and performing calculations. They are particularly useful for systems that require simple and efficient logic operations. The binary number system is also fundamental to understanding other number systems, such as hexadecimal, which is often used in programming and digital design.