Question

5) Four chairs are placed in a row and labeled A, B, C, D. Each chair is either occupied (0) or empty (1). Generate the minterm and maxterm expansion in algebraic form for each of the following logic functions. Include don't care terms if appropriate. a) f(A, B, C, D) = 1 if and only if there are no adjacent empty chairs. b) f(A, B, C, D) = 1 if and only if there are more occupied chairs than empty chairs. c) f(A, B, C, D) = 1 if two of the chairs are occupied. 6) Given f in the previous problem, write the minterm and maxterm expressions in algebraic form for f'.

Please solve all the problems with full steps.

Thank You

Answer 1

NOTE: when inversion is applied to f(a,b,c,d) then min terms become max terms and vice versa..

a b A 0 B 0 CD C D oo 0 0 0 0 vooo - o - - - 01 00 110 -- 1 1 0 0 0 0 JOOI TOIO Io 11 0 1100 llolo 10 0 II - 1 1 o 0 0 a) & (ABC) - Emcis) Peale, Cin) - Em (71314,15) HAIBUN) Em (3,516,9,10,18) 'CAUBAD TENC 15) ACAD, Cinl a m (01, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14) b) & CAIBici EIT(7, 11, 13, 14, 15) ICAIB,C,D) Em (0,112,3,4,5,6,8,9,10, 12) c) & CAIB,C,D) ET (315 16 19 110 112) I'CAIBICID) = Em 2011, 2, 4, 718, 11, 13, 14, 15)

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