Question $4(20$ points$)$

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Using the Product$-$Of$-$Sums Maxterm expression below:

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f$^\{\backslash$prime$\}=\backslash$Pi M$(0,2,7)$

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a$)$ Write the Function Table for the function.

b$)$ Write the corresponding Minterm expressions $($both forms$).$

c$)$ Write the corresponding Sum$-$Of$-$Products Boolean expression.

d$)$ Write the corresponding Maxterm expression $($i$.$e$.,$ second form, the first form was given $).$

e$)$ Use a Karnaugh Map to reduce the Maxterm expression.

f$)$ Draw the cascading logic gates from the expression reduced using the Karnaugh Map.

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