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An embedded microcontroller's sensor interface records three consecutive 8-bit unsigned readings representing the vibration frequencies of an engine component. To calculate the total cumulative frequency, the three readings must be summed.

The readings in binary are:

0 1 1 0 1 0 1 00 1 0 0 1 1 0 0+ 0 0 1 1 0 1 0 1\begin{array}{r} 0\ 1\ 1\ 0\ 1\ 0\ 1\ 0 \\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0 \\ +\ 0\ 0\ 1\ 1\ 0\ 1\ 0\ 1 \\ \hline \\ \hline \end{array}0 1 1 0 1 0 1 00 1 0 0 1 1 0 0+ 0 0 1 1 0 1 0 1​​

Add these three binary numbers together and give your final answer as an 8-bit binary number. Show your working.

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Binary arithmetic Questions

Practise AQA GCSE Computer Science Binary arithmetic with exam-style questions for GCSE Computer Science. 50 questions, matched to the AQA GCSE Computer Science (8525) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Binary arithmetic Questions

  1. GCSE
  2. /Computer Science
  3. /Binary arithmetic