// Numbas version: finer_feedback_settings
{"name": "Lois's copy of Binary", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Lois's copy of Binary", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Recall that when writing numbers in binary each column represents a power of two. So, in this case, reading from left to right the columns represent 27= 128; 2<sup>6</sup>= 64; 2<sup>5</sup> = 32; 24 = 16; 23 = 8; 22 = 4; 21 = 2; 20= 1.</p>\n<p>To find out what the number would be in decimal we add up all the column headings which show a one.</p>\n<p>See these pages for converting a twos complement binary number to a dcimal number and vice versa. <a href=\"http://sandbox.mc.edu/~bennet/cs110/tc/index.html\">http://sandbox.mc.edu/~bennet/cs110/tc/index.html</a></p>", "rulesets": {}, "parts": [{"distractors": ["", "", "", ""], "prompt": "<p>1100 1011</p>", "matrix": ["2", 0, 0, 0], "shuffleChoices": true, "variableReplacements": [], "choices": ["<p>203</p>", "<p>119</p>", "<p>306</p>", "<p>211</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": false, "type": "1_n_2", "minMarks": 0}, {"distractors": ["", "", "", ""], "prompt": "<p>0110 1100</p>", "matrix": ["2", 0, 0, 0], "shuffleChoices": true, "variableReplacements": [], "choices": ["<p>108</p>", "<p>216</p>", "<p>54</p>", "<p>189</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": false, "type": "1_n_2", "minMarks": 0}, {"distractors": ["", "", "", ""], "prompt": "<p>Convert the 8-bit signed (two's complement) binary number 1101 0101 into decimal</p>", "matrix": ["2", 0, 0, 0], "shuffleChoices": true, "variableReplacements": [], "choices": ["<p>-43</p>", "<p>-213</p>", "<p>213</p>", "<p>-212</p>"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": 0, "scripts": {}, "marks": 0, "displayColumns": 0, "showCorrectAnswer": false, "type": "1_n_2", "minMarks": 0}], "extensions": [], "statement": "<p>In parts (a) and (b), convert each of the unsigned binary numbers to decimal.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "metadata": {"description": "<p>Converting binary numbers to decimal; includes twos complement.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}