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