Add together the following three binary numbers and give your answer in binary - AQA - GCSE Computer Science - Question 3 - 2023 - Paper 2
Question 3
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.
Adding the rightmost column: 1 + 0 + 1 = 10 (in binary), write down 0 and carry over 1.
Next column: 0 + 1 + 1 + (carry 1) = 11 (in binary), write down 1 and carry over 1.
Third column: 1 + 0 + 0 + (carry 1) = 10 (in binary), write down 0 and carry over 1.
Fourth column: 1 + 1 + (carry 1) = 11 (in binary), write down 1 and carry over 1.
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: