ience/aqa/questions","basePath":"/gcse/computer-science/aqa/binary-arithmetic/questions","formulaUrl":null,"initialIndex":42,"initialQuestionWindow":[{"id":"bc2889b9-5e32-41fc-8ee0-bd788ff77151","revisionId":"6c7badc5-c4fd-47e7-bf32-5bdd66987d8d","questionNumber":null,"questionType":"LA","specification":"","difficulty":6,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"ca814436-63d2-4561-8e3c-6345743b4ec0","label":null,"content":"An 8-bit flight controller on a micro-drone aggregates raw telemetry data from three onboard sensors. During a stabilization routine, it must calculate the sum of the following three unsigned 8-bit binary integers, representing the three sensor readings:\n\n$$\\begin{array}{r}\n 0\\ 0\\ 1\\ 0\\ 1\\ 1\\ 0\\ 1 \\\\\n 0\\ 1\\ 0\\ 1\\ 1\\ 1\\ 1\\ 0 \\\\\n +\\ 0\\ 0\\ 1\\ 1\\ 0\\ 0\\ 1\\ 1 \\\\\n \\hline\n \\end{array}$$\n\nCalculate the sum of these three 8-bit binary numbers, showing your working (including carries), and give your final answer as an 8-bit binary pattern.","markscheme":"- Shows a correct method for adding three binary numbers with evidence of carry tracking (e.g. at least 4 bits correctly calculated from the right: $\\text{...}11110$) M1\n- Obtains the correct 8-bit binary pattern $10111110$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"cf2c62f6-04f1-4683-923d-79b7cea9e211","revisionId":"9bc30a5b-a24f-4c5b-9704-19e8bb73d8f5","questionNumber":null,"questionType":"LA","specification":"An embedded sensor measures three distinct physical variables, representing each as an unsigned 8-bit binary integer:\n\n* Temperature factor: \$01100101\$\n* Pressure factor: \$00101110\$\n* Humidity factor: \$00011100\$","difficulty":4,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"cdc0b5b6-33c3-4a2e-8ba4-4bb67a8923b9","label":null,"content":"Calculate the total calibration offset by adding these three 8-bit binary numbers together. Show your working and state your final answer as an 8-bit binary number.","markscheme":"- Shows a correct method for adding two of the binary numbers, resulting in an intermediate binary value of $10010011$, $10000001$, or $01001010$ M1\n- Obtains the correct final 8-bit binary sum: $10101111$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"d48e1fb5-d70a-415a-88fe-35b009604a58","revisionId":"ef6ec589-e990-44cc-ad65-e0cb8c1e773c","questionNumber":null,"questionType":"LA","specification":"","difficulty":4,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"8f38652e-21aa-46e2-ac34-1d7ca655dd85","label":null,"content":"Add together the following three binary numbers and give your answer in binary.\n\n$$\\begin{array}{r}\n 0\\ 1\\ 0\\ 1\\ 0\\ 1\\ 0\\ 0 \\\\\n 0\\ 0\\ 1\\ 1\\ 1\\ 0\\ 0\\ 1 \\\\\n +\\ 0\\ 0\\ 0\\ 1\\ 0\\ 0\\ 1\\ 1 \\\\\n \\hline\n \\\\\n \\hline\n \\end{array}$$","markscheme":"- Shows a correct intermediate step, such as adding any two of the given numbers together correctly in binary (e.g. $01010100 + 00111001 = 10001101$) or finding the correct decimal sum of $160$ M1\n- Obtains the correct final binary answer: $10100000$ 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","difficult

Binary arithmetic

Question 13

Binary arithmetic Questions

Binary arithmetic

Question 13

Binary arithmetic Questions