Popcorn Hack 1
def binary_to_decimal(binary_str):
decimal = 0
for i in range(len(binary_str)):
decimal += int(binary_str[-(i + 1)]) * (2 ** i)
return decimal
#Get user input
binary_input = input("Enter a binary number: ")
decimal_output = binary_to_decimal(binary_input)
print(f"The decimal representation of {binary_input} is {decimal_output}.")
The decimal representation of 1010101 is 85.
Popcorn Hack 2
import random
import time
def binary_addition_battle():
# Generate two random binary numbers (up to 8 bits)
num1 = bin(random.randint(0, 255))[2:]
num2 = bin(random.randint(0, 255))[2:]
# Show the binary numbers
print(f"Add the following binary numbers:")
print(f"Number 1: {num1}")
print(f"Number 2: {num2}")
# Start the timer
start_time = time.time()
# Ask the user for the sum
user_answer = input("Your answer (in binary): ")
# End the timer
end_time = time.time()
# Calculate the correct binary sum
correct_answer = bin(int(num1, 2) + int(num2, 2))[2:]
# Check if the answer is correct
if user_answer == correct_answer:
print(f"Correct! You took {end_time - start_time:.2f} seconds.")
print(f"Your score: +10 points!")
else:
print(f"Oops! The correct answer was {correct_answer}.")
print(f"Your score: -5 points.")
# Run the game
binary_addition_battle()
Add the following binary numbers:
Number 1: 10110
Number 2: 1101
Correct! You took 18.37 seconds.
Your score: +10 points!
import random
def binary_subtraction(bin1, bin2):
max_len = max(len(bin1), len(bin2))
bin1 = bin1.zfill(max_len)
bin2 = bin2.zfill(max_len)
result = ''
borrow = 0
for i in range(max_len-1, -1, -1):
bit1 = int(bin1[i])
bit2 = int(bin2[i])
sub = bit1 - bit2 - borrow
if sub == 0 or sub == 1:
result = str(sub) + result
borrow = 0
elif sub == -1:
result = '1' + result
borrow = 1
elif sub == -2:
result = '0' + result
borrow = 1
result = result.lstrip('0') or '0'
return result
print("🧠 Binary Subtraction Challenge! 🧠")
score = 0
total_questions = 3
for question_num in range(1, total_questions + 1):
num1 = random.randint(8, 63)
num2 = random.randint(0, num1)
bin1 = bin(num1)[2:]
bin2 = bin(num2)[2:]
print(f"\nProblem {question_num}: {bin1} - {bin2}")
user_answer = input("Your answer: ").strip()
correct_answer = binary_subtraction(bin1, bin2)
if user_answer == correct_answer:
print("✅ Correct!")
score += 1
else:
print(f"❌ Incorrect. The correct answer was {correct_answer}.")
print(f"\n🎯 You got {score}/{total_questions} correct!")
print("Thanks for practicing!")
🧠 Binary Subtraction Challenge! 🧠
Problem 1: 100110 - 1100
✅ Correct!
Problem 2: 1100 - 1001
✅ Correct!
Problem 3: 100000 - 110
✅ Correct!
🎯 You got 3/3 correct!
Thanks for practicing!
AP Problems
Question 28: - Answer: D) 8 bits
Question 36: - Answer: B) The precision of the result is limited due to the constraints of using a floating-point representation.
Question 42: - Answer: D) 2 raised to the ninety-sixth power times as many addresses are available.
Question 44: - Answer: D) I, II, and III
import random
import time
def binary_addition(a, b):
return bin(int(a, 2) + int(b, 2))[2:]
def binary_subtraction(a, b):
if int(a, 2) < int(b, 2):
return "Error"
return bin(int(a, 2) - int(b, 2))[2:]
def decimal_to_binary(n):
return bin(n)[2:]
def binary_to_decimal(b):
return int(b, 2)
def binary_battle_royale():
print("👾 Welcome to Binary Battle Royale! 👾")
score = 0
total_rounds = 3
for round_num in range(1, total_rounds + 1):
print(f"\n⚡ Round {round_num} ⚡")
mode = random.choice(["addition", "subtraction", "dec_to_bin", "bin_to_dec"])
if mode == "addition":
num1 = bin(random.randint(0, 15))[2:]
num2 = bin(random.randint(0, 15))[2:]
print(f"Add these two binary numbers: {num1} + {num2}")
user_answer = input("Your answer (binary): ").strip()
correct_answer = binary_addition(num1, num2)
if user_answer == correct_answer:
print("✅ Correct!")
score += 1
else:
print(f"❌ Incorrect. The correct answer was {correct_answer}.")
elif mode == "subtraction":
num1_val = random.randint(8, 31)
num2_val = random.randint(0, num1_val)
num1 = bin(num1_val)[2:]
num2 = bin(num2_val)[2:]
print(f"Subtract these two binary numbers: {num1} - {num2}")
user_answer = input("Your answer (binary): ").strip()
correct_answer = binary_subtraction(num1, num2)
if user_answer == correct_answer:
print("✅ Correct!")
score += 1
else:
print(f"❌ Incorrect. The correct answer was {correct_answer}.")
elif mode == "dec_to_bin":
decimal_number = random.randint(0, 31)
print(f"Convert this decimal number to binary: {decimal_number}")
user_answer = input("Your answer (binary): ").strip()
correct_answer = decimal_to_binary(decimal_number)
if user_answer == correct_answer:
print("✅ Correct!")
score += 1
else:
print(f"❌ Incorrect. The correct answer was {correct_answer}.")
elif mode == "bin_to_dec":
binary_number = bin(random.randint(0, 31))[2:]
print(f"Convert this binary number to decimal: {binary_number}")
user_answer = input("Your answer (decimal): ").strip()
correct_answer = str(binary_to_decimal(binary_number))
if user_answer == correct_answer:
print("✅ Correct!")
score += 1
else:
print(f"❌ Incorrect. The correct answer was {correct_answer}.")
print("\n🏆 Game Over! 🏆")
print(f"Your final score: {score}/{total_rounds}")
if score == total_rounds:
print("🌟 Amazing job! You're a Binary Master!")
elif score >= total_rounds // 2:
print("👍 Good effort! Keep practicing!")
else:
print("💡 Don't worry — review the rules and try again!")
# --- Start the game ---
binary_battle_royale()
👾 Welcome to Binary Battle Royale! 👾
⚡ Round 1 ⚡
Convert this binary number to decimal: 10
✅ Correct!
⚡ Round 2 ⚡
Convert this decimal number to binary: 8
✅ Correct!
⚡ Round 3 ⚡
Convert this decimal number to binary: 29
✅ Correct!
🏆 Game Over! 🏆
Your final score: 3/3
🌟 Amazing job! You're a Binary Master!
-
To convert a binary number to a decimal number, multiply each bit by 2 raised to the power of its position (starting from 0 on the right) and sum the results. For example, the function binary_to_decimal in the notebook implements this logic to convert binary strings into their decimal equivalents.
-
The binary number 11111111 is equal to the decimal number 255.