Compute 11_2 + 110_2 + 100111_2 + 101011_2 + 111_2 + 1011_2 + 1100101_2. Give your answer as a base 2 integer.

Answer 1

The sum of all the binary numbers is:

11_2 + 110_2 + 100111_2 + 101011_2 + 111_2 + 1011_2 + 1100101_2
= 3_10 + 6_10 + 39_10 + 43_10 + 7_10 + 11_10 + 101_10
= 210_10

Converting 210 from base 10 to base 2:

210_10 = 11010010_2

So, the answer is 11010010_2.