CCCPaste

26f44784922de

def hamming_decode_remove_first_bit(encoded_str):
    # Remove the first bit
    encoded_str = encoded_str[1:]
    
    # Convert the string to a list of integers
    encoded = list(map(int, list(encoded_str)))
    
    # Calculate parity bits positions (1-based index)
    parity_positions = [1, 2, 4, 8, 16]
    
    # Calculate error position (1-based index)
    error_position = 0
    
    for p in parity_positions:
        count = 0
        for i in range(1, len(encoded) + 1):
            if i & p == p:
                count += encoded[i - 1]
        if count % 2 != 0:
            error_position += p
    
    # If there's an error, correct it
    if error_position != 0:
        encoded[error_position - 1] ^= 1
    
    # Remove the parity bits to extract the data bits
    data_bits = []
    for i in range(1, len(encoded) + 1):
        if i not in parity_positions:
            data_bits.append(str(encoded[i - 1]))
    
    # Convert the binary data bits to a decimal integer
    data_bits_str = ''.join(data_bits)
    return int(data_bits_str, 2)

# The encoded string with the intention to remove the first bit
encoded_str = '01001000000100001001110000011000'
decoded_value = hamming_decode_remove_first_bit(encoded_str)
decoded_value