10100010011001

10100010011001 is a binary number. In the binary numeral system, also known as base-2, only two digits, 0 and 1, are used to represent numbers. Each position in a binary number represents a power of 2, starting from the rightmost digit as 2^0, then 2^1, 2^2, and so on, moving leftwards.

To convert the binary number 10100010011001 to its decimal (base-10) equivalent, we multiply each digit by its corresponding power of 2 and sum the results. Starting from the rightmost digit:

1 * 2^0 = 1

0 * 2^1 = 0

0 * 2^2 = 0

1 * 2^3 = 8

1 * 2^4 = 16

0 * 2^5 = 0

0 * 2^6 = 0

0 * 2^7 = 0

1 * 2^8 = 256

0 * 2^9 = 0

0 * 2^10 = 0

1 * 2^11 = 2048

0 * 2^12 = 0

1 * 2^13 = 8192

Summing these values: 8192 + 2048 + 256 + 16 + 8 + 1 = 10521. Therefore, the binary number 10100010011001 is equal to the decimal number 10521. Binary numbers are fundamental in computer science and digital electronics, forming the basis for data storage and processing.