Evaluate(111two)2 and leave your answer in base 2.
Answer Details
To evaluate (111two)2, we need to convert the binary number 111two to its decimal equivalent, then square the result, and finally convert the answer back to binary. 111two = 1 × 22 + 1 × 21 + 1 × 20 = 7ten (111two)2 = (7ten)2 = 49ten To convert 49ten back to binary, we repeatedly divide by 2 and write down the remainders in reverse order: 49 ÷ 2 = 24 remainder 1 24 ÷ 2 = 12 remainder 0 12 ÷ 2 = 6 remainder 0 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Reading the remainders in reverse order gives us: 49ten = 110001two Therefore, the answer is (B) 110001two.