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