Given the logic function: f(a, b, c, d) = Σ(0, 2, 8, 9, 10, 12, 13, 14), perform each of the following tasks as required

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Given the logic function: f(a, b, c, d) = Σ(0, 2, 8, 9, 10, 12, 13, 14), perform each of the following tasks as required. Show all your experimental results in ONE truth table as shown below d forg fpract fsop fpos 0 1 1) 2) 5) 6) a 0 0 7) 1 b 0 0 с 0 0 1 Obtain theoretically the output of the original function and record it in column forg. Using Logisim, draw the logic diagram of the original function f. ➤ Poke the inputs of the drawn logic diagram and record the output values in column fpract. 1 1 3) Use K-map to obtain the minimal logic equation off in sum of products form (fsop). 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 column fsop. Using K-map, obtain the minimal logic equation off in product fsums form (fpos). Using Logisim, draw the logic diagram of the resulting function fpos. ➤ Poke the inputs of the drawn logic diagram and record the output values in column fpos. How many gates are required to construct each of the functions: forg, fsop, fpos? Write your answer in the format explained in the lectures as show below: 4 3-input AND gates; (use ONE space to separate words) 1 4-input OR gates Where 4 is the number of gates, 3 the number of inputs in each gate, AND is the gate type.