Question (1): [25 marks] A combinational circuit is divided into two sub-circuits N1 and N2 as shown. The truth table for N1 is given. Assume that the input combinations ABC = 111 and ABC = 000 never occur. 1- Complete the truth table. 2- Write D as minterms expansion and Fas Maxterms expansion (Decimal notation). 3- Determine the Boolean expression of Z in terms of D, E and F as Maxterms expansion (Decimal notation). 4- Simplify the expressions of D, E and F as minimum Products of Sum. 5- Design the circuit of Nu as minimum NOR-NOR implementation. N2 N D A E BG C- F Z N A B C 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 D 1 0 0 1 1 0 1 1 E 1 1 0 0 1 0 1 1 F 1 1 1 1 0 0 0 1