To add the binary numbers 101010 and 111111, you start by adding the rightmost bits: 0 + 1 = 1. Moving left, 1 + 1 = 10 in binary (2 in decimal), so you write down 0 and carry over the 1. Continuing this process, you get: 101010 + 111111 = 1100001 in binary (97 in decimal).
Oh, what a happy little question you have there! Let's add these numbers together like we're painting a beautiful sunset. When we add 101010 and 111111, we get 101010 + 111111 = 1010121. Isn't that just a lovely sum? Just remember, there are no mistakes in math, only happy little accidents.