| import random | |
| def generate_question(): | |
| binary_number = bin(random.randint(1, 15))[2:].zfill(4) | |
| def twos_complement(binary_str): | |
| n = len(binary_str) | |
| ones_complement = ''.join('1' if bit == '0' else '0' for bit in binary_str) | |
| twos_complement_result = bin(int(ones_complement, 2) + 1)[2:].zfill(n) | |
| return twos_complement_result[-n:] | |
| correct_answer = twos_complement(binary_number) | |
| steps = [ | |
| f"Start with the binary number: {binary_number}.", | |
| f"Find the 1's complement by flipping each bit: {''.join('1' if bit == '0' else '0' for bit in binary_number)}.", | |
| f"Add 1 to the 1's complement to get the 2's complement: {correct_answer}.", | |
| ] | |
| question_data = { | |
| "question": f"What is the 2's complement of the binary number {binary_number}?", | |
| "options": [correct_answer] + [bin(random.randint(1, 15))[2:].zfill(4) for _ in range(3)], | |
| "correct_answer": correct_answer, | |
| "explanation": f"The 2's complement of the binary number {binary_number} is {correct_answer}.", | |
| "step_by_step_solution": steps | |
| } | |
| return question_data | |