er-science/aqa/number-bases/questions","formulaUrl":null,"initialIndex":16,"initialQuestionWindow":[{"id":"87398fd6-39e0-4901-99f3-7284912aa5be","revisionId":"9505c6a0-93c7-4087-bfc4-87263ba76811","questionNumber":null,"questionType":"LA","specification":"","difficulty":3,"difficultyBand":"easy","totalMarks":1,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"1353ede3-1e5c-4854-8ef4-566db4f30635","label":null,"content":"What is the largest decimal number that can be represented using 6 bits?","markscheme":"- Identifies the largest decimal number as $63$ (accept $2^6 - 1$ or $32 + 16 + 8 + 4 + 2 + 1$) B1","marks":1,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"87c8d654-75e1-4c71-a09f-709d7213465b","revisionId":"3c76658a-fe1a-4761-ad2d-1edd1a6b0a3b","questionNumber":null,"questionType":"LA","specification":"","difficulty":3,"difficultyBand":"easy","totalMarks":2,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"c62b6fc1-fbc3-4ff8-9027-5d74b957cd05","label":null,"content":"Give **two** reasons why software developers prefer to represent and view physical memory addresses in hexadecimal rather than in binary.","markscheme":"- States that hexadecimal is easier or quicker for humans to read, write, or remember than binary B1\n- States that it is more concise, taking up less screen space or using fewer characters B1\n- States that it reduces human errors (e.g. transposition or copying errors) B1\n- States that it is easy to convert between binary and hexadecimal because $2^4 = 16$ B1","marks":2,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"8f2028d4-38c6-4d4d-9ad9-d6ebaea3f43a","revisionId":"ddbf678e-5cc5-4e31-8db1-c285cdef9f3a","questionNumber":null,"questionType":"MC","specification":"A telemetry unit on a weather balloon needs to encode the wind direction sector and speed class into a single packet field representing one of 3,000 unique meteorological states.\n\nSelect the minimum number of bits required for this field to represent all 3,000 states.","difficulty":3,"difficultyBand":"easy","totalMarks":1,"sourceTitle":null,"calculatorUse":null,"parts":[],"options":[{"id":"978360df-5e3e-496d-81fd-634a5694fcd6","content":"$$11\\text{ bits}$","correct":false,"markscheme":"Incorrect as $2^{11} = 2,048$, which is insufficient to represent 3,000 unique states.","order":0},{"id":"1386a408-f205-4950-a5db-f8a4cbc7ad92","content":"$$12\\text{ bits}$","correct":true,"markscheme":"Correct because $2^{12} = 4,096$, which is the smallest power of 2 that is greater than or equal to 3,000.","order":1},{"id":"1b52d524-b3b9-40ad-8c96-38e96f52efc6","content":"$$13\\text{ bits}$","correct":false,"markscheme":"Incorrect because although $13$ bits can represent up to 8,192 states, it is not the minimum number of bits required.","order":2},{"id":"c7950be4-e2ba-45bb-bede-54468eba9fa0","content":"$$16\\text{ bits}$","correct":false,"markscheme":"Incorrect because although 16 bits is a standard 2-byte boundary, it is not the absolute minimum number of bits required.","order":3}],"explanation":null,"firstAttemptFullMarks":null}],"subjectCode":"gcse_computer_science__aqa","summaries":[{"id":"0ca5d0db-a4fe-474f-94e0-c673d688f346","difficultyBand":"medium","calculatorUse":null},{"id":"176548db-ed1a-4a41-822f-13ad8d9476c6","difficultyBand":"easy","calculatorUse":null},{"id":"17f40824-cf81-4f2a-be4e-c7752433783e","difficultyBand":"easy","calculatorUse":null},{"id":"1c63c54d-7080-4c8f-901a-cb2fc6a01d8e","difficultyBand":"easy","calculatorUse":null},{"id":"2273abed-07b4-4f11-90c5-11e308977e87","difficultyBand":"easy","calculatorUse":null},{"id":"290441a6-11e6-48ab-8cbb-5ee1959027c3","difficultyBand":"easy","calculatorUse":null},{"id":"2e422d70-c69e-4a73-acd9-59548add32d3","difficultyBand":"easy","calculatorUse":null},{"id":"3706cf54-7c08-43e5-bd56-ab77b225bec9","difficultyBand":"easy","calculatorUse":n

Number bases

Question 14

Number bases Questions

Number bases

Question 14

Number bases Questions