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import random |
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title = "Base Conversion" |
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description = "This module focuses on converting numbers between different bases, including binary, octal, decimal, and hexadecimal, with and without fractions." |
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def generate_question(): |
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num = random.randint(1, 100) |
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from_base = random.choice([2, 8, 10, 16]) |
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to_base = random.choice([2, 8, 10, 16]) |
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if from_base == 10: |
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value = num |
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elif from_base == 2: |
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value = int(bin(num)[2:], 2) |
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elif from_base == 8: |
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value = int(oct(num)[2:], 8) |
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else: |
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value = int(hex(num)[2:], 16) |
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if to_base == 2: |
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correct_answer = bin(value)[2:] |
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elif to_base == 8: |
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correct_answer = oct(value)[2:] |
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elif to_base == 16: |
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correct_answer = hex(value)[2:] |
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else: |
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correct_answer = str(value) |
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options = [correct_answer] |
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while len(options) < 5: |
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fake_option = bin(random.randint(1, 100))[2:] |
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if fake_option not in options: |
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options.append(fake_option) |
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random.shuffle(options) |
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question = f"Convert {num} from base {from_base} to base {to_base}." |
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explanation = ( |
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f"The number {num} in base {from_base} is {correct_answer} in base {to_base}." |
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"\n\n**Step-by-step solution:**\n" |
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"1. Convert the number from the original base to decimal if necessary.\n" |
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"2. Convert the decimal number to the target base.\n" |
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"3. The correct answer is the result of the conversion." |
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) |
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return question, options, correct_answer, explanation |
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