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FIT1058 Foundations of computing - S1 2025

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Given the statement “YY is a prime number”, and no other information, which of the following is true?
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If XX is the proposition “Superman is here” and YY is the proposition “Clark Kent is here”, then \neg X \wedge \neg Y\neg X \wedge \neg Y describes which of the following statements?
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Let P be the proposition “CSIRAC is a computer”, and let Q be the proposition “EDSAC is a computer”.

How would you express in propositional logic the statement “At least one of CSIRAC and EDSAC is a computer”?
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Let PP be the proposition that "xx is an element of set AA", and let QQ be the proposition that "xx is an element of set BB".

Which of the following expressions indicates that xx belongs to the union of AA and BB?

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Let PP be the proposition that "xx is an element of set AA", and let QQ be the proposition that "xx is an element of set BB".

Which of the following expressions indicates that xx belongs to the intersection of AA and BB?

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Suppose XX is the set of all people who are enrolled in FIT1058. Let AA be the proposition “Hermione is enrolled in FIT1058”.

Which of the following statements would not be equivalent to saying that “Hermione is not enrolled in FIT1058”?

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Suppose P and Q are both variables with the value False.

Which of the following expressions evaluates to True?

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Let P be the proposition “All pizzas should have good toppings” and Q be the proposition that “Pineapple is a good pizza topping”. How would you express in propositional logic that “All pizzas should have good toppings, but pineapple is not a good pizza topping”?

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If XX is the proposition “It will be sunny tomorrow” and YY is the proposition “It will be sunny the day after tomorrow”, then X \vee YX \vee Y could be described as:

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Which of the following is not an example of a proposition?

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