English Sentence Propositional Logic Review Quiz
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Questions and Answers

Convert the English sentence 'You can graduate only if you have completed the requirements of your major and you do not owe money to the university and you do not have an overdue library book' into propositional logic using the variables g, m, r, and b.

g -> (r ^ ~m ^ ~b)

Convert the propositional logic g -> (r ^ ~m ^ ~b) into an English sentence.

You can graduate only if you have completed the requirements of your major and you do not owe money to the university and you do not have an overdue library book.

Find the solutions to the recurrence relation below: $a_{n} = 2a_{n-1} + 3$, working upward.

The solution is $a_{n} = 2^{n+1} - 3$.

Find the solutions to the recurrence relation below: $a_{n} = 2a_{n-1} + 3$, working downward.

<p>The solution is $a_{n} = 2^{n+1} - 3$.</p> Signup and view all the answers

Convert the decimal number 231 to a binary number.

<p>The binary expansion of 231 is (11100111)$_2$.</p> Signup and view all the answers

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