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import random
def generate_question():
base = random.choice([2, 8, 10, 16])
num1 = random.randint(1, 15)
num2 = random.randint(1, 15)
if base == 10:
num1_rep = str(num1)
num2_rep = str(num2)
elif base == 2:
num1_rep = bin(num1)[2:]
num2_rep = bin(num2)[2:]
elif base == 8:
num1_rep = oct(num1)[2:]
num2_rep = oct(num2)[2:]
elif base == 16:
num1_rep = hex(num1)[2:].upper()
num2_rep = hex(num2)[2:].upper()
sum_decimal = num1 + num2
if base == 10:
correct_answer = str(sum_decimal)
elif base == 2:
correct_answer = bin(sum_decimal)[2:]
elif base == 8:
correct_answer = oct(sum_decimal)[2:]
elif base == 16:
correct_answer = hex(sum_decimal)[2:].upper()
steps = [
f"Convert {num1_rep} and {num2_rep} to decimal if needed.",
f"Add the numbers: {num1} + {num2} = {sum_decimal} in decimal.",
f"Convert {sum_decimal} from decimal to base {base}.",
f"The result in base {base} is {correct_answer}."
]
question_data = {
"question": f"Add the numbers {num1_rep} and {num2_rep} in base {base}.",
"options": [correct_answer] + [str(random.randint(1, 30)) for _ in range(3)],
"correct_answer": correct_answer,
"explanation": f"The sum of {num1_rep} and {num2_rep} in base {base} is {correct_answer}.",
"step_by_step_solution": steps
}
return question_data
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