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import random
title = "Presentation in Bases"
description = "This module covers the representation of numbers in different bases including binary, octal, decimal, and hexadecimal."
def generate_question():
num = random.randint(1, 20)
base = random.choice([2, 8, 10, 16])
if base == 2:
representation = bin(num)[2:]
elif base == 8:
representation = oct(num)[2:]
elif base == 16:
representation = hex(num)[2:]
else:
representation = str(num)
question = f"What is the representation of decimal number {num} in base {base}?"
correct_answer = representation
options = [correct_answer]
# Generate incorrect options
while len(options) < 5:
fake_option = bin(random.randint(1, 20))[2:]
if fake_option not in options:
options.append(fake_option)
random.shuffle(options)
explanation = (
f"The number {num} in base {base} is represented as {representation}."
"\n\n**Step-by-step solution:**\n"
"1. Convert the number from decimal to the required base.\n"
"2. Match with the provided options.\n"
"3. The correct answer is the one that matches the conversion."
)
return question, options, correct_answer, explanation
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