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