// Numbas version: finer_feedback_settings
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"anything", "description": "", "group": "Truth values"}, "s": {"definition": "repeat(random(0..3),4)", "name": "s", "templateType": "anything", "description": "", "group": "Lists of symbols"}, "disp": {"definition": "bool_to_label(p)", "name": "disp", "templateType": "anything", "description": "", "group": "Truth values"}}, "advice": "", "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": "150"}, "variable_groups": [{"variables": ["logic_symbol_list", "latex_symbol_list", "s"], "name": "Lists of symbols"}, {"variables": [], "name": "First Bracket"}, {"variables": [], "name": "Second Bracket"}, {"variables": ["q", "p", "disp", "disq"], "name": "Truth values"}], "extensions": [], "preamble": {"js": "", "css": ""}, "statement": "<p></p>\n<p>Complete the following truth table to prove De Morgan's law</p>\n<p>$\\neg(P \\land Q)=\\neg P \\lor \\neg Q$&nbsp;</p>\n<p>Enter T&nbsp;if true, else enter F.</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "parts": [{"showCorrectAnswer": true, "prompt": "<p>Complete the following truth table:</p>\n<table border=\"1\">\n<tbody>\n<tr style=\"height: 16px;\">\n<th style=\"height: 16px;\">$P$</th>\n<th style=\"height: 16px;\">$Q$</th>\n<th style=\"height: 16px;\">$\\neg P$</th>\n<th style=\"height: 16px;\">$\\neg Q$</th>\n<th style=\"height: 16px;\">$P \\land Q$</th>\n<th style=\"height: 16px;\">$\\neg(P\\land Q)$</th>\n<th style=\"height: 16px;\">$\\neg P \\lor \\neg Q$</th>\n</tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px;\">T</td>\n<td style=\"height: 22px;\">T</td>\n<td style=\"height: 22px;\">[[0]]</td>\n<td style=\"height: 22px;\">[[4]]</td>\n<td style=\"height: 22px;\">[[8]]</td>\n<td style=\"height: 22px;\">[[12]]</td>\n<td style=\"height: 22px;\">[[16]]</td>\n</tr>\n<tr style=\"height: 50px;\">\n<td style=\"height: 50px;\">T</td>\n<td style=\"height: 50px;\">F</td>\n<td style=\"height: 50px;\">\n<p>[[1]]</p>\n</td>\n<td style=\"height: 50px;\">[[5]]</td>\n<td style=\"height: 50px;\">[[9]]</td>\n<td style=\"height: 50px;\">[[13]]</td>\n<td style=\"height: 50px;\">[[17]]</td>\n</tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px;\">F</td>\n<td style=\"height: 22px;\">T</td>\n<td style=\"height: 22px;\">[[2]]</td>\n<td style=\"height: 22px;\">[[6]]</td>\n<td style=\"height: 22px;\">[[10]]</td>\n<td style=\"height: 22px;\">[[14]]</td>\n<td style=\"height: 22px;\">[[18]]</td>\n</tr>\n<tr style=\"height: 45px;\">\n<td style=\"height: 45px;\">F</td>\n<td style=\"height: 45px;\">F</td>\n<td style=\"height: 45px;\">[[3]]</td>\n<td style=\"height: 45px;\">[[7]]</td>\n<td style=\"height: 45px;\">[[11]]</td>\n<td style=\"height: 45px;\">[[15]]</td>\n<td style=\"height: 45px;\">\n<p>[[19]]</p>\n</td>\n</tr>\n</tbody>\n</table>", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "variableReplacements": [], "type": "gapfill", "gaps": [{"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "F", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "F"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}, {"showCorrectAnswer": true, "matchMode": "regex", "answer": "T", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 1, "variableReplacements": [], "type": "patternmatch", "displayAnswer": "T"}]}], "name": "Truth tables De Morgan1", "metadata": {"description": "<p>Create a truth table for a logical expression of the form $a \\operatorname{op} b$ where $a, \\;b$ can be the Boolean variables $p,\\;q,\\;\\neg p,\\;\\neg q$ and $\\operatorname{op}$ one of $\\lor,\\;\\land,\\;\\to$.</p>\n<p>For example $\\neg q \\to \\neg p$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "ungrouped_variables": [], "functions": {"conv": {"definition": "switch(op=\"\\\\land\",\"and\",op=\"\\\\lor\",\"or\",\"implies\")", "type": "string", "parameters": [["op", "string"]], "language": "jme"}, "evaluate": {"definition": "return scope.evaluate(expr);", "type": "number", "parameters": [["expr", "string"], ["dependencies", "list"]], "language": "javascript"}, "convch": {"definition": "switch(ch=\"\\\\neg p\",\"not p[t]\",ch=\"\\\\neg q\",\"not q[t]\",ch=\"p\",\"p[t]\",\"q[t]\")", "type": "string", "parameters": [["ch", "string"]], "language": "jme"}, "bool_to_label": {"definition": "map(if(l[x],'T','F'),x,0..length(l)-1)", "type": "number", "parameters": [["l", "list"]], "language": "jme"}}, "tags": [], "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}]}