Simulation/Games and Random Algorithms

Base 2 Math and Logic Gates

Popcorn Hack 1

Example	Number	Is it Binary?
1	101010	✅ Yes
2	12301	❌ No (has 2 and 3)
3	11001	✅ Yes

Popcorn Hack 2

Example	Operation	Binary Numbers	Answer in Binary
1	Adding	101 + 110	1011
2	Subtracting	1101 - 1011	10
3	Adding	111 + 1001	10000

Logic Gates

Popcorn Hacks

Popcorn Hack	Expression	Result	Why?
1	True or False and False	True	and happens first → False and False = False → True or False = True
2	not True and False	False	not happens first → not True = False → False and False = False
3	True or False and not False	True	not happens first → not False = True → False and True = False → True or False = True

Homework Hack 1

# Function to convert decimal to binary
def decimal_to_binary(decimal_number):
    if decimal_number == 0:
        return "0"
    is_negative = decimal_number < 0
    decimal_number = abs(decimal_number)
    binary = ""
    while decimal_number > 0:
        binary = str(decimal_number % 2) + binary
        decimal_number = decimal_number // 2
    if is_negative:
        binary = "-" + binary
    return binary
# Function to convert binary to decimal
def binary_to_decimal(binary_string):
    is_negative = binary_string.startswith("-")
    if is_negative:
        binary_string = binary_string[1:]
    decimal = 0
    for i, digit in enumerate(reversed(binary_string)):
        decimal += int(digit) * (2 ** i)
    if is_negative:
        decimal = -decimal
    return decimal
 
# 🧪 Testing the functions
print("Decimal to Binary Tests:")
print(f"10 → {decimal_to_binary(10)}")  # Output: 1010
print(f"-10 → {decimal_to_binary(-10)}")  # Output: -1010
print(f"0 → {decimal_to_binary(0)}")    # Output: 0

print("\nBinary to Decimal Tests:")
print(f"1010 → {binary_to_decimal('1010')}")  # Output: 10
print(f"-1010 → {binary_to_decimal('-1010')}")  # Output: -10
print(f"0 → {binary_to_decimal('0')}")    # Output: 0

Homework 2

import time

difficulty = input("Enter difficulty (easy, medium, hard): ").lower().strip()

while difficulty != "easy" and difficulty != "medium" and difficulty != "hard":
    print("Please enter a valid difficulty level.")
    difficulty = input("Enter difficulty (easy, medium, hard): ").lower().strip()
    time.sleep(0.5)

print("Difficulty set to:", difficulty)