Computers and Technology, 18.12.2019 00:31 ennaturan

Consider the language dn of binary strings representing numbers divisible by some fixed n.

a) can every binary string u be extended to a string uw ∈ dn? prove your answer.
b) can you find a bitstring u in {0, 1} ∗ , such that uw /∈ d17 for any string w with |w| ≤ 4?
c) are there arbitrarily long bitstrings u with the property at (b)? justify your answer.

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Consider the language dn of binary strings representing numbers divisible by some fixed n.