Implement the function in Table 1 using only NAND gates. [10 marks] Find the minimum-cost Sum of Products (SOP) and Product of Sums (POS) forms for the function f(x,...,x5) = Em(1,3, 4, 6, 8, 9, 11, 13, 14, 16, 19, 20, 21, 22, 24, 25)+ D(5, 7, 12, 15, 17, 23). Chose the minimum-cost expression by comparing Product of Sums (POS) and Sum of Products (SOP) forms. [10 marks] Row 1 X2 0 0 0 0 0 1 0 456FWN10 2 3 67 7 *3 || f 0 1 1 0 1 1 1 OLOLOLO 1 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 Table 1: Truth table for a 3-way light switch Problem 6 Implement the function in Table 1 using only NOR gates. [10 marks] Problem 7 Find the minimum-cost Product Sum of Products (SOP) and of Sums (POS) forms for the function f(x1, #2, x3) m(1, 3, 4, 5). Chose the minimum-cost expression by comparing Product of Sums (POS) and Sum of Products (SOP) forms. [10 marks] = Problem 8 Find the minimum-cost Sum of Products (SOP) and Product of Sums (POS) forms for the function f(x1, x2, 3) Em(1,5,7) + D(2,4). [10 marks] = Problem 9 Find the minimum-cost Sum of Products (SOP) and Product of Sums (POS) forms for the function f(x1, x2, I3, I4) IM(1, 2, 4, 5, 7, 8, 9, 10, 12, 14, 15). Chose the minimum-cost expression by comparing Product of Sums (POS) and Sum of Products (SOP) forms. [10 marks] = Problem 10 Find the minimum-cost Sum of Products (SOP) and Product of Sums (POS) forms for the function f(x1, 12, T3, T4) Em (2, 8, 9, 12, 15) + D(1,3,6,7). Chose the minimum-cost expression by comparing Product of Sums (POS) and Sum of Products (SOP) forms. [10 marks] Problem 11 Derive a minimum-cost realiza- tion of the four-variable function that is equal to 1 if exactly two or exactly three of its vari- ables are equal to 1; otherwise it is equal to 0. [10 marks]