Quiz — Série d'exercices N°1-4tech-Logique combinatoire-Correction2014-2015.pdf

Question 1 sur 10 20:00

[{"id":23089,"question":"Quelle porte logique correspond à l'expression booléenne A + B ?","option_a":"Porte ET","option_b":"Porte OU","option_c":"Porte NON","option_d":"Porte OU exclusif","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'expression A + B correspond à la porte OU, qui donne un résultat vrai si au moins une des entrées est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Porte ET\", \"b\": \"Porte OU\", \"c\": \"Porte NON\", \"d\": \"Porte OU excl","_debug_options_count":4},{"id":23090,"question":"La table de vérité d'une porte ET à deux entrées a combien de lignes ?","option_a":"2","option_b":"4","option_c":"8","option_d":"16","option_e":"","option_f":"","bonne_reponse":"b","explication":"Avec deux entrées, il y a 2^2 = 4 combinaisons possibles, donc 4 lignes dans la table de vérité.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"2\", \"b\": \"4\", \"c\": \"8\", \"d\": \"16\"}}","_debug_options_count":4},{"id":23091,"question":"L'expression booléenne A.B est équivalente à :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"A.B correspond à l'opération ET, pas à l'opération OU. L'expression correcte pour l'OU est A+B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23092,"question":"Quelle loi de l'algèbre de Boole permet d'écrire A + A.B = A ?","option_a":"Loi d'absorption","option_b":"Loi de De Morgan","option_c":"Loi de distributivité","option_d":"Loi d'identité","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la loi d'absorption : A + A.B = A, car A.B est déjà inclus dans A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Loi d'absorption\", \"b\": \"Loi de De Morgan\", \"c\": \"Loi de distribu","_debug_options_count":4},{"id":23093,"question":"Une porte NON a combien d'entrées ?","option_a":"0","option_b":"1","option_c":"2","option_d":"Variable","option_e":"","option_f":"","bonne_reponse":"b","explication":"La porte NON (inverseur) n'a qu'une seule entrée et une seule sortie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"2\", \"d\": \"Variable\"}}","_debug_options_count":4},{"id":23094,"question":"L'expression (A + B)' est équivalente à :","option_a":"A'.B'","option_b":"A'.B","option_c":"(A.B)'","option_d":"A+B","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après la loi de De Morgan : (A + B)' = A'.B'.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A'.B'\", \"b\": \"A'.B\", \"c\": \"(A.B)'\", \"d\": \"A+B\"}}","_debug_options_count":4},{"id":23095,"question":"Quelle porte logique donne un résultat vrai uniquement si une seule entrée est vraie ?","option_a":"Porte ET","option_b":"Porte OU","option_c":"Porte NON","option_d":"Porte OU exclusif","option_e":"","option_f":"","bonne_reponse":"d","explication":"La porte OU exclusif (XOR) donne vrai uniquement si une seule des entrées est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"Porte ET\", \"b\": \"Porte OU\", \"c\": \"Porte NON\", \"d\": \"Porte OU excl","_debug_options_count":4},{"id":23096,"question":"La simplification de l'expression A.(A + B) donne :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"A.(A + B) = A (loi d'absorption), donc l'expression est déjà simplifiée.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23097,"question":"Quelle est la sortie d'une porte ET avec les entrées A=1 et B=0 ?","option_a":"0","option_b":"1","option_c":"Indéterminé","option_d":"2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La porte ET donne 1 uniquement si toutes les entrées sont à 1. Ici, B=0, donc la sortie est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"Indéterminé\", \"d\": \"2\"}}","_debug_options_count":4},{"id":23098,"question":"L'expression A + A' est toujours égale à :","option_a":"0","option_b":"1","option_c":"A","option_d":"A'","option_e":"","option_f":"","bonne_reponse":"b","explication":"A + A' = 1 car A et A' sont complémentaires : l'un est toujours vrai quand l'autre est faux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"A\", \"d\": \"A'\"}}","_debug_options_count":4}]