ience/aqa/questions","basePath":"/gcse/computer-science/aqa/binary-arithmetic/questions","formulaUrl":null,"initialIndex":25,"initialQuestionWindow":[{"id":"7f5a318c-671d-46b8-872d-28d293b03875","revisionId":"0d1e4bee-d6e9-4493-aea7-dc9d5684764e","questionNumber":null,"questionType":"LA","specification":"","difficulty":5,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"66985985-83b1-4c1a-836e-d8581140ced3","label":null,"content":"Add together the following three 8-bit binary numbers and give your answer in binary.\n\n$$\\begin{array}{r}\n 0\\ 0\\ 0\\ 1\\ 0\\ 1\\ 0\\ 0 \\\\\n 1\\ 0\\ 0\\ 0\\ 1\\ 1\\ 0\\ 0 \\\\\n +\\ 0\\ 0\\ 1\\ 0\\ 0\\ 1\\ 0\\ 1 \\\\\n \\hline\n \\\\\n \\hline\n \\end{array}$$","markscheme":"- Shows correct working, such as converting all three binary numbers to denary ($20$, $140$, and $37$), or showing clear carry bits in column addition M1\n- Obtains the correct final binary answer: $11000101$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"887a0ebb-bb1f-4e99-8084-8ad1e298a7f8","revisionId":"84d4a945-7c84-48e3-ad0f-e4ea5580f3c4","questionNumber":null,"questionType":"LA","specification":"An embedded environmental monitor records three successive data packets, representing quantities stored as 8-bit unsigned binary integers.","difficulty":4,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"93abd8f8-a140-454e-b0fc-477fafe9be0e","label":null,"content":"Calculate the total sum of the three values below by adding them together. Show your working and present your final answer as an 8-bit binary number.\n\n\\[\n\\begin{array}{r}\n 01100101 \\\\\n 00101011 \\\\\n + \\;\\; 00111100 \\\\\n \\hline\n \\end{array}\n\\]","markscheme":"- Shows clear working of adding at least two of the binary numbers correctly, obtaining an intermediate sum of $10010000$, $01100111$, or $10100001$ M1\n- Obtains the correct final 8-bit binary value: $11001100$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"8dbfd389-96b3-4444-8166-2089a925cb6c","revisionId":"dc21e942-14fe-4787-ab3b-0c6a21a3093b","questionNumber":null,"questionType":"LA","specification":"An embedded flight controller receives three telemetry calibration offsets represented as 8-bit unsigned binary integers:\n\n\\[\n\\begin{array}{r}\n 0\\ 0\\ 1\\ 1\\ 0\\ 1\\ 1\\ 0 \\\\\n 0\\ 1\\ 0\\ 1\\ 0\\ 0\\ 1\\ 1 \\\\\n +\\ 0\\ 0\\ 1\\ 0\\ 1\\ 1\\ 0\\ 1 \\\\\n \\hline\n \\end{array}\n\\]","difficulty":5,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"8346c49e-c3fc-4e13-a513-a130f324236a","label":null,"content":"Calculate the sum of these three 8-bit binary numbers. Show your working and give your final answer in binary.","markscheme":"- Shows a correct method for adding the numbers, such as converting all three values to denary ($54_{10}$, $83_{10}$, and $45_{10}$) to get $182_{10}$, or demonstrating clear column addition with carry bits. M1\n- State the correct final 8-bit binary value: $10110110$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null}],"subjectCode":"gcse_computer_science__aqa","summaries":[{"id":"0e3623a6-e8c0-4440-b6f1-e878d4774bff","difficultyBand":"medium","calculatorUse":null},{"id":"166dff36-982b-4b23-b13c-a1dce05fbd43","difficultyBand":"easy","calculatorUse":null},{"id":"194f0c05-29c1-4eea-b171-d4488661c438","difficultyBand":"easy","calculatorUse":null},{"id":"202897ed-d8db-4d33-a086-5ade8dec99cc","difficultyBand":"easy","calculatorUse":null},{"id":"21987bee-547d-497c-bea3-549e3d8e4307","difficultyBand":"easy","calculatorUse":null},{"id":"296fccc5-0261-4651-9f7e-f2325cfa8d8a","difficultyBand":"easy","calculatorUse":null},{"id":"2de09dc6-e2ad-4308

Binary arithmetic

Question 8

Binary arithmetic Questions

Binary arithmetic

Question 8

Binary arithmetic Questions