modules/twos_complement.py

# modules/twos_complement.py

title = "2's Complement Questions"
description = "This module explains the 2's complement method for representing negative numbers."

def generate_question():
    import random

    number = ''.join(random.choice('01') for _ in range(8))

    def calculate_twos_complement(number):
        n = len(number)
        ones_complement = ''.join('1' if bit == '0' else '0' for bit in number)
        twos_complement = bin(int(ones_complement, 2) + 1)[2:]
        return twos_complement.zfill(n)

    correct_answer = calculate_twos_complement(number)
    options = [correct_answer]

    # Generate incorrect answers
    while len(options) < 4:
        invalid_number = ''.join(random.choice('01') for _ in range(8))
        if invalid_number != correct_answer:
            options.append(invalid_number)
    
    random.shuffle(options)
    
    question = f"What is the 2's complement of the binary number {number}?"
    explanation = f"The 2's complement of {number} is {correct_answer}."
    step_by_step_solution = [
        "Step 1: Find the 1's complement by flipping all bits.",
        "Step 2: Add 1 to the 1's complement to get the 2's complement."
    ]
    
    return {
        "question": question,
        "options": options,
        "correct_answer": correct_answer,
        "explanation": explanation,
        "step_by_step_solution": step_by_step_solution
    }