Popcorn hacks • 4 min read

CB popcorn hacks

4.as a popcorn hack (binary challenge), describe an overflow in 8 binary digits

• Add 1 to 11111111 (255) because this exceeds the maximum value so it causes overflow

5.As a popcorn hack (coding challenge), create multiple new circuits and gates

• NAND: def NAND_gate(A, B): return not (A and B)

11.as a hack (binary challenge), make the rgb standard colors

import matplotlib.pyplot as plt import matplotlib.patches as patches

Function to convert binary to decimal

def binary_to_decimal(binary): return int(binary, 2)

def plot_colors(rgb_triplets): # Create a figure with one subplot per RGB triplet fig, axs = plt.subplots(1, len(rgb_triplets), figsize=(2 * len(rgb_triplets), 2))

# Ensure axs is always a list
axs = axs if len(rgb_triplets) > 1 else [axs]

for ax, (red_binary, green_binary, blue_binary) in zip(axs, rgb_triplets):
    # Convert to binary strings to decimal
    red_decimal = binary_to_decimal(red_binary)
    green_decimal = binary_to_decimal(green_binary)
    blue_decimal = binary_to_decimal(blue_binary)

    # Normalize number to [0, 1] range, as it is expected by matplotlib 
    red, green, blue = red_decimal/255, green_decimal/255, blue_decimal/255

    # Define a rectangle patch with the binary RGB triplet color and a black border
    rect = patches.Rectangle((0, 0), 1, 1, facecolor=(red, green, blue), edgecolor='black', linewidth=2)
    
    # Add the rectangle to the plot which shows the color 
    ax.add_patch(rect)

    # Remove axis information, we just want to see the color
    ax.axis('off')

    # Print the binary and decimal values
    print("binary:", red_binary, green_binary, blue_binary)    
    print("decimal", red_decimal, green_decimal, blue_decimal)
    print("proportion", red, green, blue)

# Show the colors
plt.show()

50.as a popcorn hack (coding challenge), scale list of size by factor of 10 and measure the times