Maîtrisez les systèmes de numération : Binaire, Décimal & Hexadécimal

Question 1 sur 10 10:00

[{"id":4329,"question":"Quel est le chiffre binaire équivalent au chiffre décimal 5 ?","option_a":"0101","option_b":"1010","option_c":"1101","option_d":"0011","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le chiffre 5 en décimal s'écrit 101 en binaire (1×4 + 0×2 + 1×1 = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4330,"question":"Le nombre hexadécimal A3 correspond à 163 en décimal.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"A (10) × 16¹ + 3 × 16⁰ = 160 + 3 = 163. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4331,"question":"Quelle est la conversion correcte du nombre binaire 1101 en décimal ?","option_a":"11","option_b":"13","option_c":"15","option_d":"17","option_e":"","option_f":"","bonne_reponse":"B","explication":"1×8 + 1×4 + 0×2 + 1×1 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4332,"question":"Le système hexadécimal utilise 16 symboles pour représenter les nombres.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les symboles sont 0-9 et A-F (représentant 10 à 15), soit 16 symboles au total.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4333,"question":"Quel est le chiffre hexadécimal équivalent au nombre binaire 1010 ?","option_a":"5","option_b":"8","option_c":"A","option_d":"F","option_e":"","option_f":"","bonne_reponse":"C","explication":"1010 en binaire correspond à 10 en décimal, qui s'écrit A en hexadécimal.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4334,"question":"La conversion du nombre décimal 25 en binaire donne :","option_a":"11001","option_b":"10101","option_c":"11011","option_d":"10011","option_e":"","option_f":"","bonne_reponse":"A","explication":"25 = 16 + 8 + 1 → 11001 en binaire (1×16 + 1×8 + 0×4 + 0×2 + 1×1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4335,"question":"Un octet (8 bits) peut représenter au maximum 256 valeurs différentes en binaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Avec 8 bits, on a 2⁸ = 256 combinaisons possibles (de 00000000 à 11111111).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4336,"question":"Quel est le nombre décimal équivalent au nombre hexadécimal 1F ?","option_a":"29","option_b":"31","option_c":"30","option_d":"32","option_e":"","option_f":"","bonne_reponse":"C","explication":"1×16 + 15 = 31 en décimal.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4337,"question":"La conversion du nombre binaire 100101 en hexadécimal donne :","option_a":"25","option_b":"2D","option_c":"1D","option_d":"15","option_e":"","option_f":"","bonne_reponse":"B","explication":"100101 en binaire se groupe en 0010 0101 → 2 et 5 en hexadécimal → 25.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4338,"question":"Le système décimal est le seul système de numération utilisé en informatique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'informatique utilise principalement le binaire et l'hexadécimal pour représenter les données.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]