10101011001

10101011001 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 a power of 2, starting from 0 at the rightmost digit.

The binary number 10101011001 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 conversion process is as follows:

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

This equals:

1 + 0 + 0 + 8 + 16 + 0 + 64 + 0 + 256 + 512 + 0 = 857

Therefore, the decimal equivalent of the binary number 10101011001 is 857.

Binary numbers are commonly used in computing and digital electronics to represent data and perform operations. They are particularly useful for low-level programming, hardware design, and understanding the fundamental workings of digital circuits. The binary number system is also the basis for other number systems, such as hexadecimal, which is often used in programming and digital electronics for its concise representation of binary data.