course work2 , Mathematics

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(b) The arity of an operator in propositional logic is the number of propositional variables that it
acts on – for example, binary operations (e.g, AND, OR, XOR…) act on two propositions to
give a true or false outcome depending on the values of the two propositions.
(i) There are four possible operations of arity 1. Draw truth tables for each of these four
operations.
[4 marks]
(ii) How many possible operations are there of arity n?
[3 marks]

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