Boolean algebra help with 4.27a

(a) F(A, B, C, D) is 1 iff there are no adjacent empty chairs. (b) G(A, B, C, D) is 1 iff the chairs on the ends are both empty (c) H(A, B, C, D) is 1 iff at least three chairs are full. (d) J(A, B, C, D) is 1 iff there are more people sitting in the left two chairs the right two chairs. 4.26 Four chairs (A, B, C, and D) are placed in a circle: A next to B, B next to C, C D, and D next to A. Each chair may be occupied (1) or empty (0). Give the n and maxterm expansion for each of the following logic functions: (a) FA, B, C, D) is 1 iff there are no adjacent empty chairs (b) G(A, B, C, D) is 1 iff there are at least three adjacent empty chairs (c) H(A, B. C, D) is 1 iff at least three chairs are full. (d) J(A, B, C, D) is 1 iff there are more people sitting in chairs A and B than C and D. 4.27 Given fia, b, c) a(b + c). (a) Express f as a minterm expansion (use m-notation). (b) Express f as maxterm expansion (use M-notation). (c) Express f' as a minterm expansion (use m-notation). (d) Express f' as a maxterm expansion (use M-notation). 4.28 Work Problem 4.27 using f(a, b, c, d)- acd +bd' +a'c'd +ab'ed + a'b'cd. 4.29 Find both the minterm expansion and maxterm expansion for the following tions, using algebraic manipulations: (a) fA, B, C, D)AB +A'CD (b) f(A, B, C, D) = (A + B + D')(A' + C)(C + D) 4.30 Given F(A, B, C, D) m(0, 1, 2, 6, 7, 13, 15). (a) Find the minterm expansion for F (both decimal and algebraic form). (b) Find the maxterm expansion for F (both decimal and algebraic form). 4.31 Repeat Problem 4.30 for F"(A. B, C, D)- m(1, 2, 5, 6, 10, i5). 4.32 Work parts o) thr tuth e ABC 01X 0 0 0 11