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import random |
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title = "Subtraction in Base 2 Using 2's Complement" |
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description = "This module teaches subtraction in binary using the 2's complement method, which allows subtraction to be performed as an addition operation." |
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def generate_question(): |
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num1 = random.randint(1, 7) |
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num2 = random.randint(1, 7) |
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result = num1 - num2 |
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bit_length = 4 |
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if result >= 0: |
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binary_result = bin(result)[2:].zfill(bit_length) |
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else: |
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binary_result = bin((1 << bit_length) + result)[2:] |
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question = f"Subtract {num2} from {num1} in base 2 using 2's complement method." |
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correct_answer = binary_result |
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options = [correct_answer] |
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while len(options) < 5: |
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fake_option = bin(random.randint(-7, 7) & 0xF)[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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explanation = ( |
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f"The result of subtracting {num2} from {num1} in base 2 using 2's complement is {binary_result}." |
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"\n\n**Step-by-step solution:**\n" |
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"1. Find the 2's complement of the subtracted number.\n" |
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"2. Add it to the first number.\n" |
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"3. If there's a carry, discard it. The result is the binary difference." |
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) |
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return question, options, correct_answer, explanation |
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