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