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Group 11 Homework

Binary Base 2 Math

Popcron 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 01 is 1.

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: 10111110
Number 2: 1000110
Correct! You took 54.30 seconds.
Your score: +10 points!

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 ⚑
Subtract these two binary numbers: 1101 - 1100
βœ… Correct!

⚑ Round 2 ⚑
Add these two binary numbers: 1000 + 1010
βœ… Correct!

⚑ Round 3 ⚑
Add these two binary numbers: 10 + 101
βœ… Correct!

πŸ† Game Over! πŸ†
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 the binary number 11111111, the decimal equivalent is 255.