ience/aqa/questions","basePath":"/gcse/computer-science/aqa/binary-arithmetic/questions","formulaUrl":null,"initialIndex":14,"initialQuestionWindow":[{"id":"55030b9e-be22-40fd-9d2e-fbbcce8deb77","revisionId":"255fed67-3821-4b05-89b2-51d7c4b11bb4","questionNumber":null,"questionType":"LA","specification":"In a digital music synthesizer, three distinct 8-bit control signals representing frequency modulation parameters are combined.","difficulty":4,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"39142922-f9b6-4f35-be4b-aaab895269e0","label":null,"content":"Add together the three 8-bit binary numbers representing these signals and give your final answer as an 8-bit binary number:\n\n$$\\begin{array}{r}\n 0\\ 0\\ 1\\ 1\\ 0\\ 1\\ 0\\ 1 \\\\\n 0\\ 1\\ 0\\ 0\\ 1\\ 1\\ 1\\ 0 \\\\\n +\\ 0\\ 0\\ 0\\ 1\\ 0\\ 0\\ 1\\ 1 \\\\\n \\hline \\\\\n \\hline\n \\end{array}$$","markscheme":"- Shows working by converting all three numbers to denary ($53$, $78$, and $19$), showing their sum is $150$, or by clearly showing carry bits in a column-by-column binary addition M1\n- States the correct final 8-bit binary answer: $10010110$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"5a2c1b7c-e7be-477d-adc6-d74002e8e13a","revisionId":"9cbfe850-3cd8-4b37-bef0-2656aa4eb6c3","questionNumber":null,"questionType":"LA","specification":"","difficulty":5,"difficultyBand":"medium","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"9ab36107-1f94-47d7-81f4-9bd69de6171e","label":null,"content":"Add together the following three 8-bit binary numbers and give your final answer as an 8-bit binary pattern.\n\n$$\\begin{array}{r}\n 0\\ 1\\ 0\\ 0\\ 0\\ 1\\ 0\\ 0 \\\\\n 0\\ 0\\ 1\\ 0\\ 1\\ 0\\ 1\\ 1 \\\\\n +\\ 0\\ 0\\ 1\\ 1\\ 0\\ 1\\ 1\\ 0 \\\\\n \\hline\n \\end{array}$$","markscheme":"- Shows a correct attempt at binary addition with carry tracking, with at least the 4 least significant bits calculated correctly (ending in $\\dots 0101$) M1\n- Obtains the correct final 8-bit binary pattern $10100101$ A1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"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}],"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-497

Binary arithmetic

Question 4

Binary arithmetic Questions

Binary arithmetic

Question 4

Binary arithmetic Questions