Evaluate: 101_two + 110_two in binary notation.
Answer and explanation
Correct answer: B. 1011_two
- Step 1: In base 10: 101_two = 5, 110_two = 6. The sum is 5 + 6 = 11. Step 2. Convert 11 to binary: 11 = 8 + 2 + 1 = 1(2^3) + 0(2^2) + 1(2^1) + 1(2^0) = 1011_two. Answer: 1011_two. Why not the others: 1001_two is 9; 1101_two is 13; 1111_two is 15.
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