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HammingCode.py
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HammingCode.py
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def hamming_encode(data):
r = 1
while 2**r < len(data) + r + 1:
r += 1
encoded_data = [0] * (len(data) + r)
j = 0
for i in range(1, len(encoded_data) + 1):
if i & (i - 1) != 0:
encoded_data[i - 1] = int(data[j])
j += 1
for i in range(r):
mask = 2**i
for j in range(1, len(encoded_data) + 1):
if j & mask == mask:
encoded_data[j - 1] ^= encoded_data[i]
return encoded_data
def hamming_decode(encoded_data):
r = 1
while 2**r < len(encoded_data):
r += 1
syndrome = [0] * r
for i in range(r):
mask = 2**i
for j in range(len(encoded_data)):
if j & mask == mask:
syndrome[i] ^= encoded_data[j]
error_position = sum([2**i * bit for i, bit in enumerate(syndrome)])
if error_position != 0:
encoded_data[error_position - 1] ^= 1
decoded_data = []
j = 0
for i in range(1, len(encoded_data) + 1):
if i & (i - 1) != 0:
decoded_data.append(encoded_data[i - 1])
return decoded_data
data = input("Enter binary data: ")
encoded_data = hamming_encode(data)
print("Encoded:", ''.join(map(str, encoded_data)))
decoded_data = hamming_decode(encoded_data)
print("Decoded:", ''.join(map(str, decoded_data)))