Solve the following problems:

(3 points) Design a minimal SOP circuit for the function:

f(x1,x2,x3, x4 )=product[M( 2,3,6,9,11,12,13,14,15 )] Draw the logic network for the minimal SOP using only NAND gates, then compute the cost of the NAND logic network.

(3 points) Design a SOP minimum-cost circuit that implements the function: f(x1,x2,x3,x4)=sum[m(4,5,9,13,15)]+D(0,3,11) Identify all prime implicants; indicate which are essential.

(4 points) Do the Design Tutorial on the Altera Quartus Tutorials page. (If you are taking the lab, you will already be doing this for Lab 2). Write the VHDL code that implements the function, f(x1,x2,x3,x4). Submit the VHD file and a screenshot showing successful compilation in Quartus. f(x1,x2,x3,x4)= (x1 * x2) + (x3' * x4)

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