Implement $f(a,b,c,d)={\displaystyle \underset{?}{\overset{?}{}}}m(3,4,5,6,7,11,15)$ as a two$-$level gate circuit, using a minimum number of gates. $($Draw the circuit diagram and then enter the corresponding logical expression. Use the following as necessary: $a,b,c,d.)$

$($a$)$ Use OR gates and NOR gates.

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$f(a,b,c,d)=A^{\text{'}}B+CD$

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$($b$)$ Use NOR gates only. $($For the diagram, submit a file with a maximum size of $1$ MB $.$ Submissions will be graded by your instructor after the due date based on its accuracy. Your grade may change.$)$

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$f(a,b,c,d)=$

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