Maîtrisez le système binaire : conversions, opérations et logique

Question 1 sur 10 10:00

[{"id":40656,"question":"Quel est le nombre binaire 1011 en décimal ?","option_a":"9","option_b":"11","option_c":"13","option_d":"15","option_e":"","option_f":"","bonne_reponse":"C","explication":"1011 en binaire = (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11 en décimal.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40657,"question":"L'addition binaire 101 + 110 donne :","option_a":"1011","option_b":"1101","option_c":"1001","option_d":"1111","option_e":"","option_f":"","bonne_reponse":"A","explication":"101 + 110 = 1011 (1+1=10 en binaire, on pose 0 et on retient 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40658,"question":"Le nombre décimal 25 en binaire s'écrit :","option_a":"10011","option_b":"11001","option_c":"11101","option_d":"10101","option_e":"","option_f":"","bonne_reponse":"B","explication":"25 ÷ 2 = 12 reste 1 ; 12 ÷ 2 = 6 reste 0 ; 6 ÷ 2 = 3 reste 0 ; 3 ÷ 2 = 1 reste 1 ; 1 ÷ 2 = 0 reste 1. Lecture de bas en haut : 11001.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40659,"question":"L'opération logique ET entre 1010 et 1100 donne :","option_a":"1000","option_b":"1110","option_c":"1010","option_d":"0000","option_e":"","option_f":"","bonne_reponse":"A","explication":"ET compare bit à bit : 1 ET 1 = 1, 0 ET 1 = 0, 1 ET 0 = 0, 0 ET 0 = 0 → 1000.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40660,"question":"Vrai ou Faux : Le système hexadécimal utilise 16 chiffres.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le système hexadécimal utilise 16 symboles : 0-9 et A-F.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40661,"question":"Quel est le résultat de 1111 - 1010 en binaire ?","option_a":"0101","option_b":"1001","option_c":"0011","option_d":"1101","option_e":"","option_f":"","bonne_reponse":"B","explication":"1111 - 1010 = 0101 (soustraction binaire avec emprunt si nécessaire).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40662,"question":"L'opération logique OU entre 0110 et 1010 donne :","option_a":"1110","option_b":"0010","option_c":"1010","option_d":"0100","option_e":"","option_f":"","bonne_reponse":"A","explication":"OU compare bit à bit : 0 OU 1 = 1, 1 OU 0 = 1, 1 OU 1 = 1, 0 OU 0 = 0 → 1110.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40663,"question":"Vrai ou Faux : En binaire, 1 + 1 = 10.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En binaire, 1 + 1 = 10 (10 en binaire représente le nombre 2 en décimal).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40664,"question":"Convertir le nombre hexadécimal A3 en binaire donne :","option_a":"10100011","option_b":"1010011","option_c":"11000011","option_d":"10000011","option_e":"","option_f":"","bonne_reponse":"A","explication":"A = 1010 et 3 = 0011 → A3 = 10100011 en binaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":40665,"question":"Vrai ou Faux : Le système binaire est utilisé uniquement en informatique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le système binaire est aussi utilisé en électronique, télécommunications et cryptographie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]