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Add the following binary numbers and give your answer in binary - AQA - GCSE Computer Science - Question 4 - 2021 - Paper 1

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Add the following binary numbers and give your answer in binary. 1 0 1 1 0 1 0 0 + 0 0 1 0 1 0 1 0 + 0 0 0 1 0 1 0 1

Worked Solution & Example Answer:Add the following binary numbers and give your answer in binary - AQA - GCSE Computer Science - Question 4 - 2021 - Paper 1

Step 1

Step 1: Align the Binary Numbers

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Answer

Align the three binary numbers so that each digit is in the correct column:

  1 0 1 1 0 1 0 0
+ 0 0 1 0 1 0 1 0
+ 0 0 0 1 0 1 0 1
  ------------------

Step 2

Step 2: Perform Binary Addition

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Answer

Add the binary digits starting from the rightmost side. Remember to carry over any values greater than 1:

  1. 0 + 0 + 1 = 1 (write down 1)
  2. 0 + 1 + 0 = 1 (write down 1)
  3. 1 + 0 + 1 = 10 (write down 0 and carry 1)
  4. 0 + 0 + 1 + 1 (carry) = 10 (write down 0 and carry 1)
  5. 1 + 1 + 0 + 1 (carry) = 11 (write down 1 and carry 1)
  6. 1 + 0 + 0 + 1 (carry) = 10 (write down 0 and carry 1)
  7. 0 + 0 + 0 + 1 (carry) = 1 (write down 1)
  8. 1 (carry) = 1 (write down 1)

Putting it all together, we have 1 0 0 0 1 1 1 0.

Step 3

Step 3: Write the Final Answer in Binary

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Answer

The final answer in binary is:

  1 0 0 1 1 1 0

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