Compute binary addition: 11 plus 01.

Study for the End of Year 8 Computer Science Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

Compute binary addition: 11 plus 01.

Explanation:
Binary addition works like decimal addition but with base 2. You add from the rightmost bit, carrying when the sum reaches 2. For 11 and 01, the rightmost column is 1 plus 1 equals 10, so write 0 and carry 1. In the next column, 1 plus 0 plus the carried 1 equals 10 again, so write 0 and carry 1. There’s a final carry, giving a new leftmost 1, so the result is 100. This also matches converting to decimal: 11₂ is 3 and 01₂ is 1, total 4, which is 100₂.

Binary addition works like decimal addition but with base 2. You add from the rightmost bit, carrying when the sum reaches 2. For 11 and 01, the rightmost column is 1 plus 1 equals 10, so write 0 and carry 1. In the next column, 1 plus 0 plus the carried 1 equals 10 again, so write 0 and carry 1. There’s a final carry, giving a new leftmost 1, so the result is 100. This also matches converting to decimal: 11₂ is 3 and 01₂ is 1, total 4, which is 100₂.

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