10000010111

10000010111 is a binary number. In base 2, it is read from left to right, with each digit representing a power of 2. The rightmost digit is 2^0, the next is 2^1, and so on. To convert this binary number to its decimal (base 10) equivalent, we multiply each binary digit by its corresponding power of 2 and sum the results.

For 10000010111, the calculation is as follows:

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

= (1 * 1024) + (0 * 512) + (0 * 256) + (0 * 128) + (0 * 64) + (0 * 32) + (1 * 16) + (0 * 8) + (1 * 4) + (1 * 2) + (1 * 1)

= 1024 + 0 + 0 + 0 + 0 + 0 + 16 + 0 + 4 + 2 + 1

= 1047

Therefore, the binary number 10000010111 is equal to the decimal number 1047. This binary representation is commonly used in computing and digital systems due to the ease with which binary digits (bits) can be represented electronically.