1101011001001010

1101011001001010 is a binary number. In the binary numeral system, which is the base-2 system, numbers are represented using only two digits: 0 and 1. Each position in a binary number represents a power of 2, starting from 2^0 on the rightmost side.

To convert 1101011001001010 to its decimal equivalent, we multiply each digit by its corresponding power of 2 and sum the results. Starting from the rightmost digit as 2^0, the leftmost digit is at position 15. Thus, the decimal value is calculated as:

(1 2^15) + (1 2^14) + (0 2^13) + (1 2^12) + (0 2^11) + (1 2^10) + (1 2^9) + (0 2^8) + (0 2^7) + (1 2^6) + (0 2^5) + (0 2^4) + (1 2^3) + (0 2^2) + (1 2^1) + (0 2^0).

This calculation yields 32768 + 16384 + 0 + 4096 + 0 + 1024 + 512 + 0 + 0 + 64 + 0 + 0 + 8 + 0 + 2 + 0 = 54858.

Therefore, the binary number 1101011001001010 is equivalent to the decimal number 54858. Binary numbers are fundamental in computer science and digital electronics, forming the basis for data storage and processing.