Instructions: For each of the following questions, provide complete answers including all map operations where required. Answers without intermediate operations will receive no marks, even if the answer is correct. Answer on your own paper-it is not necessary to submit this assignment sheet. Unless otherwise specified, provide results in sum-of-products format. Relative point values are shown in [brackets] to the right of the problem; the perfect score is 125. 1. Using the Boolean algebraic identities (not K-maps), simplify F(a,b.c) -abe+ abc +abc +ab; show the identities you used (by stating the Postulate or Theorem # from Table 2.1 in your book after each step). [5 2. Simplify, using a map, F(a,b.c,d)- 21,4,9,11,12) 3. Simplify F(a,b,c) 2(0,1,5,7) and draw a circuit diagram for the simplified result. 4. Simplify F(ef.gh) E(0,1,2,7,8, 10, 14) and draw a circuit diagram for the simplified result. [ 101 5. Given F(p.q,r)- 20,2,4,5,7), find F (complement of F) and simplify it, draw its circuit diagram.[15 6. Simplify F(m,n.p.q) = (0, 1,2,3,4,5,6,7,9,1 1,13, 14); then, find the complement of F and express it in [10] II(n, n, n,.. .) format. 7. Simplify F(a.b.c)-2(13,6) with da.b.e)-2(0,2), draw its circuit diagram. 8. Simplify F(h.ij.k)-2(0,1,6,8,14) with dh,i.j.k)-24.79,13) 9. Simplify F(a,b,c)-r1(0,2,6) and give the result in algebraic Sum-of-Products form. 10. Simplify FN,Q.T)-20,2,6) and give the result in algebraic Product-of-Sums form. [10] [10 10 110] 11. Simplify cach of the following to a minimum number of literals using algebraic procedures and not K-maps: you do not need to state your postulates or theorems as in Q1, but show your work in performing the simplification a. ABC +ABC+AB b. (AB(A+B) . + AC d. BC + B(AD +AD) e. (A+B +AB)(AB+Ac+BC) 12) 12) 12] 12]