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# modules/subtraction_bases.py
title = "Subtraction in Bases"
description = "This module focuses on subtraction operations in binary using the 2's complement method."
def generate_question():
import random
base = random.choice([2, 8, 16])
num1 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
num2 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
def subtract_numbers(num1, num2, base):
return hex(int(num1, base) - int(num2, base))[2:].upper() if base == 16 else \
oct(int(num1, base) - int(num2, base))[2:] if base == 8 else \
bin(int(num1, base) - int(num2, base))[2:] if base == 2 else \
str(int(num1) - int(num2))
correct_answer = subtract_numbers(num1, num2, base)
options = [correct_answer]
# Generate incorrect answers
while len(options) < 4:
invalid_answer = ''.join(random.choice('0123456789ABCDEF') for _ in range(4))
if invalid_answer != correct_answer:
options.append(invalid_answer)
random.shuffle(options)
question = f"Subtract the number {num2} from {num1} in base {base}."
explanation = f"The result of subtracting {num2} from {num1} in base {base} is {correct_answer}."
step_by_step_solution = [
f"Step 1: Convert the numbers {num1} and {num2} to base 10.",
"Step 2: Subtract the numbers in base 10.",
f"Step 3: Convert the result back to base {base}."
]
return {
"question": question,
"options": options,
"correct_answer": correct_answer,
"explanation": explanation,
"step_by_step_solution": step_by_step_solution
}
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