Answer
The binary number 1010101010101010 equals 43690 when expressed conventionally.
Work Step by Step
Reading from right to left, we see that this number has a “1” in the $2^1$ place, the $2^3$ place, the $2^5$ place, the $2^7$ place, the $2^9$ place, the $2^{11}$ place, the $2^{13}$ place, and the $2^{15}$ place.
We have:
$$2^1+2^3+2^5+2^7+2^9+2^{11}+2^{13}+2^{15}=43690$$