A majority can survive while a location claim remains out of scope. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
A longer repetition word can still have a majority
The length 5 encoded word is 11111.
n=5w=11111
Two flips can preserve majority without locating errors
Flipping indices 1 and 3 changes the word to 10101, whose majority remains 1.