100010111001

100010111001 is a binary number. In binary, each digit represents a power of two. The number is read from right to left, with the rightmost digit representing 2 to the power of 0 (which is 1), the next digit representing 2 to the power of 1 (which is 2), and so on.

To convert 100010111001 to decimal, we sum the powers of two corresponding to the positions where a '1' appears. Starting from the rightmost digit at position 0:

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

This calculation results in:

1 + 0 + 0 + 8 + 16 + 32 + 0 + 128 + 0 + 0 + 0 + 2048 = 2233.

Therefore, the binary number 100010111001 is equivalent to the decimal number 2233. This binary representation is a common way to store and process information in digital computers, where each digit (bit) can be either 0 or 1. The length of this binary number is 12 bits.