100100100111010

The binary number 100100100111010 is a sequence of 15 digits, each representing a bit in binary notation. In binary, each digit can be either 0 or 1, and the position of each digit corresponds to a power of 2, starting from the rightmost digit (which represents 2^0). The binary number 100100100111010 can be broken down into its individual bits as follows:

1 * 2^14 + 0 * 2^13 + 0 * 2^12 + 1 * 2^11 + 0 * 2^10 + 0 * 2^9 + 1 * 2^8 + 0 * 2^7 + 0 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0

This can be simplified to:

32768 + 2048 + 256 + 32 + 16 + 8 + 2 = 35142

Therefore, the decimal equivalent of the binary number 100100100111010 is 35142. Binary numbers are commonly used in computer science and digital electronics to represent data and perform calculations. They are particularly useful for tasks that involve bitwise operations, such as encoding and decoding data, error detection and correction, and data compression. The binary number 100100100111010 is an example of how binary notation can be used to represent a decimal number in a compact and efficient manner.