(101)2 + (110)2. Simplify it?

Maths / Basic Math — Multiple-choice practice

  1. A. None of these
  2. B. (1001)2
  3. C. (1000)2
  4. D. (1011)2

Correct answer

(1011)2

Explanation

Explanation Step 1: Convert binary numbers to decimal for easier calculation (101)2 = 1 × 2^2 + 0 × 2^1 + 1 × 2^0 = 4 + 0 + 1 = 5 (110)2 = 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 4 + 2 + 0 = 6 Step 2: Add the decimal values 5 + 6 = 11 Step 3: Convert the sum back to binary 11 = 8 + 2 + 1 = 2^3 + 2^1 + 2^0 = (1011)2

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