ience/aqa/questions","basePath":"/gcse/computer-science/aqa/binary-arithmetic/questions","formulaUrl":null,"initialIndex":22,"initialQuestionWindow":[{"id":"5f77f631-ae78-4929-9342-02eaa9a66dc0","revisionId":"a5ce8498-152d-4b66-ade4-f60b681c629b","questionNumber":null,"questionType":"LA","specification":"","difficulty":4,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"c946a316-7fb0-4768-a533-73bd32330c51","label":null,"content":"A digital signal processing unit accumulates three 8-bit unsigned binary readings from a pressure sensor during a calibration cycle. The three recorded values are:\n\n$$\\begin{array}{r}\n 0\\ 1\\ 1\\ 0\\ 0\\ 1\\ 1\\ 0 \\\\\n 0\\ 0\\ 1\\ 0\\ 1\\ 1\\ 0\\ 1 \\\\\n +\\ 0\\ 0\\ 0\\ 1\\ 1\\ 1\\ 1\\ 0 \\\\\n \\hline\n \\\\\n \\hline\n \\end{array}$$\n\nCompute the sum of these three values using binary arithmetic. State your final accumulated value as an 8-bit binary number.","markscheme":"- Shows a valid method to sum the numbers, such as converting all three to decimal ($102$, $45$, and $30$ to give $177$), or performing stage-wise binary addition (e.g. $01100110_2 + 00101101_2 = 10010011_2$) with at most one arithmetic error M1\n- Obtains the correct 8-bit binary answer: $10110001$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"7e126f0a-3b94-497f-81d9-d7db1e1c161e","revisionId":"9dff54f8-1e95-4b52-a1dc-b52b1050ee13","questionNumber":null,"questionType":"LA","specification":"","difficulty":5,"difficultyBand":"medium","totalMarks":1,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"51c39139-2a53-4bf3-b36d-a50a71a8dfe4","label":null,"content":"What is the overall arithmetic effect of performing a left binary shift of 5 on an unsigned binary integer, followed by a right binary shift of 2 on the result (assuming no bits are overflowed or lost)?","markscheme":"- Explains that the overall effect is multiplying the original number by $8$ (or equivalent to a left binary shift of $3$) B1","marks":1,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"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}],"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-b575-56304fb7a30f","difficultyBand":"medium","calculatorUse":null},{"id":"2ec155a8-f77a-4b7d-a73e-d10a30814348","difficultyBand":"easy","calculatorUse":null},{"id":"2f9fba5f-cd55-4995-8c2b-40703b84e

Binary arithmetic

Question 6

Binary arithmetic Questions

Binary arithmetic

Question 6

Binary arithmetic Questions