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import random
def generate_question():
base = random.choice([2, 8, 10, 16])
num1 = random.randint(10, 15)
num2 = random.randint(1, 9)
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()
difference_decimal = num1 - num2
if base == 10:
correct_answer = str(difference_decimal)
elif base == 2:
correct_answer = bin(difference_decimal)[2:]
elif base == 8:
correct_answer = oct(difference_decimal)[2:]
elif base == 16:
correct_answer = hex(difference_decimal)[2:].upper()
steps = [
f"Convert {num1_rep} and {num2_rep} to decimal if needed.",
f"Subtract the numbers: {num1} - {num2} = {difference_decimal} in decimal.",
f"Convert {difference_decimal} from decimal to base {base}.",
f"The result in base {base} is {correct_answer}."
]
question_data = {
"question": f"Subtract {num2_rep} from {num1_rep} in base {base}.",
"options": [correct_answer] + [str(random.randint(1, 10)) for _ in range(3)],
"correct_answer": correct_answer,
"explanation": f"The result of subtracting {num2_rep} from {num1_rep} in base {base} is {correct_answer}.",
"step_by_step_solution": steps
}
return question_data
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