Base_2_math+logic_gates_ipynb_2_

• 1 min read

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)