**** Given the logic function: forg(a, b,c,d) = {(1,3,4,7,9,11,12, 15), perform the following tasks. Show all your experimental results in ONE truth table as shown below b d forgfpre fsopSpos 0 0 0 0 O O 1 a . ... 1 1 1 PI 1) Theoretically, obtain the truth table of the original function forg. 2) Using Logisim, draw the logic diagram of the original function forg. Poke the inputs of the drawn logic diagram and record the output values in the truth table column named Fpre. 3) Use K-map to obtain the minimal logic equation of fory in sum of products form (sop). 4) Use Logisim to draw the logic diagram of the resulting function fsop Poke the inputs of the drawn logic diagram and record the output values in the truth table column named fsop. 5) Using K-map, obtain the minimal logic equation of fors in product of sums form (pos). 6) Using Logisim, draw the logic diagram of the resulting function pos. Poke the inputs of the drawn logic diagram and record the output values in the truth table column named /pos