Connection
Base URL, credentials and a reachable server.
Product
Product features · Hamming single-bit correction
01
Keep the single-error assumption visible in ParityOchre while tracing how parity checks identify a bit to flip.
Selection
A model available through the configured endpoint.
Capabilities
Context limits and tool support are determined by the model and server.
Hamming single-bit correction
● ● ●ParityOchre●
A concrete starting point · Hamming single-bit correction ×
def correct_hamming(word):
word = list(word)
if len(word) != 7 or any(type(b) is not int or b not in (0, 1) for b in word):
raise ValueError("hamming.word")
syndrome = 0
for parity in (1, 2, 4):
value = 0
for position in range(1, 8):
if position & parity:
value ^= word[position-1]
if value:
syndrome |= parity
if syndrome:
word[syndrome-1] ^= 1
data = (word[2] << 3) | (word[4] << 2) | (word[5] << 1) | word[6]
return data, syndrome✳Decode a seven-bit Hamming word under an explicit assumption of at most one flipped bit.
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