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Add together the following three binary numbers and give your answer in binary - AQA - GCSE Computer Science - Question 3 - 2023 - Paper 2

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Add together the following three binary numbers and give your answer in binary. [2 marks]

Worked Solution & Example Answer:Add together the following three binary numbers and give your answer in binary - AQA - GCSE Computer Science - Question 3 - 2023 - Paper 2

Step 1

Step 1: Add the binary numbers

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Answer

To add three binary numbers, ensure that you have them aligned properly. Let's assume the three binary numbers are: 1101, 1010, and 0011.

Aligning them for addition:

  1101
+ 1010
+ 0011

Perform the addition from the rightmost bit to the left, carrying over as needed.

  1. Adding the rightmost column: 1 + 0 + 1 = 10 (in binary), write down 0 and carry over 1.
  2. Next column: 0 + 1 + 1 + (carry 1) = 11 (in binary), write down 1 and carry over 1.
  3. Third column: 1 + 0 + 0 + (carry 1) = 10 (in binary), write down 0 and carry over 1.
  4. Fourth column: 1 + 1 + (carry 1) = 11 (in binary), write down 1 and carry over 1.
  5. Finally, write down the carry 1 in the next column.

So, adding these binary numbers results in: 10111.

Step 2

Step 2: Provide the answer in binary

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Answer

The final answer to the addition of the three binary numbers is:

  10111

This is the required answer in binary.

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