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Big Idea 3 Binary Base

Popcorn Hack #1

def binary_to_decimal(binary_str):
    # Convert the binary string to a decimal integer using Python's built-in functionality
    decimal = int(binary_str, 2)
    return decimal

# Ask the user to input a binary number
binary_input = input("Enter a binary number: ")

# Validate the input to ensure it's a valid binary string
if all(bit in '01' for bit in binary_input):
    result = binary_to_decimal(binary_input)
    print(f"Binary '{binary_input}' is {result} in decimal.")
else:
    print("Invalid input! Please enter a binary number consisting of only 0s and 1s.")
Binary '10101' is 21 in decimal.

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: 10101111
Number 2: 11111001


Correct! You took 35.59 seconds.
Your score: +10 points!

Popcorn Hack #3

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("βœ… 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: 10000 - 1110
βœ… Correct!

Problem 2: 101011 - 1010
βœ… Correct!

Problem 3: 100001 - 100
βœ… Correct!

🎯 You got 3/3 correct!
Thanks for practicing!

Homework Hack

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("πŸ‘Ύ Welcome to Binary Battle Royale! πŸ‘Ύ")
    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("βœ… 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("βœ… 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("βœ… 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("βœ… Correct!")
                score += 1
            else:
                print(f"❌ Incorrect. The correct answer was {correct_answer}.")

    print("\nπŸ† Game Over! πŸ†")
    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("πŸ‘ Good effort! Keep practicing!")
    else:
        print("πŸ’‘ Don't worry β€” review the rules and try again!")

# --- Start the game ---
binary_battle_royale()
πŸ‘Ύ Welcome to Binary Battle Royale! πŸ‘Ύ

⚑ Round 1 ⚑
Add these two binary numbers: 1100 + 110


βœ… Correct!

⚑ Round 2 ⚑
Convert this decimal number to binary: 14
βœ… Correct!

⚑ Round 3 ⚑
Add these two binary numbers: 1001 + 100
βœ… Correct!

πŸ† Game Over! πŸ†
Your final score: 3/3
🌟 Amazing job! You're a Binary Master!

HW FRQ

  1. To convert a binary number to decimal, multiply each bit by 2 raised to the power of its position (starting from 0 on the right), then add the results together.

  2. For the binary number 11111111, the decimal equivalent is 255.